It includes details about boundary layer and boundary layer separations like history,causes,results,applications,types,equations, etc.It also includes some real life example of boundary layer.
1) Compressible flow is when the density of a fluid changes during flow, such as gases. Incompressible flow assumes constant density, such as liquids.
2) Examples of compressible flow include gases through nozzles, compressors, high-speed projectiles and planes, and water hammer.
3) Bernoulli's equation relates pressure, temperature, and specific volume and only applies to steady, incompressible flow without friction losses along a single streamline.
Fluid Mechanics-Shear stress ,Shear stress distribution,Velocity profile,Flow Of Viscous Fluid Through The circular pipe ,Velocity profile for turbulent flow Boundary layer buildup in pipe,Velocity Distributions
This document discusses boundary layer theory, which defines a thin layer of fluid near a solid boundary where viscosity is dominant. Ludwig Prandtl first proposed this theory in 1904 to model fluid flow. The boundary layer has different regions and is classified as laminar or turbulent. Key terms like displacement thickness, momentum thickness, and energy thickness are also defined. Boundary layer separation can occur in adverse pressure gradients and examples are given. Methods to prevent separation are outlined. The theory has applications in aerodynamics, heat transfer, and other fluid flow problems.
This document discusses flow through pipes, including:
- Laminar and turbulent flow characteristics defined by Reynolds number
- Head losses calculated using Darcy-Weisbach and minor loss equations
- Friction factors determined from Moody diagrams for laminar and turbulent flows
- Total head loss in a pipe system equals major losses in pipe sections plus minor losses from fittings
Fluid Mechanics
Internal and External Flows
Part A
Friction factor, Pipe losses, Boundary Layer, Over external bodies, Flow Separation and control methods, Lift generation, Flow simulation methodology
Part B
Siphon, Transmission of power, Drag and lift, Characteristics of bodies
This is basic course in mechanical engineering both graduate and post graduate level.
Hope you find it helping.
Do like, Share and Comment.
Aditya Deshpande
deshadi805@gmail.com
This document provides an overview of boundary layer concepts and laminar and turbulent pipe flow. It defines boundary layer thickness, displacement thickness, and momentum thickness. It describes how boundary layers develop on surfaces and transition from laminar to turbulent. It also discusses Reynolds number effects, momentum integral estimates for flat plates, and examples calculating boundary layer thickness in air and water flow. Finally, it introduces concepts of laminar and turbulent pipe flow.
It includes details about boundary layer and boundary layer separations like history,causes,results,applications,types,equations, etc.It also includes some real life example of boundary layer.
1) Compressible flow is when the density of a fluid changes during flow, such as gases. Incompressible flow assumes constant density, such as liquids.
2) Examples of compressible flow include gases through nozzles, compressors, high-speed projectiles and planes, and water hammer.
3) Bernoulli's equation relates pressure, temperature, and specific volume and only applies to steady, incompressible flow without friction losses along a single streamline.
Fluid Mechanics-Shear stress ,Shear stress distribution,Velocity profile,Flow Of Viscous Fluid Through The circular pipe ,Velocity profile for turbulent flow Boundary layer buildup in pipe,Velocity Distributions
This document discusses boundary layer theory, which defines a thin layer of fluid near a solid boundary where viscosity is dominant. Ludwig Prandtl first proposed this theory in 1904 to model fluid flow. The boundary layer has different regions and is classified as laminar or turbulent. Key terms like displacement thickness, momentum thickness, and energy thickness are also defined. Boundary layer separation can occur in adverse pressure gradients and examples are given. Methods to prevent separation are outlined. The theory has applications in aerodynamics, heat transfer, and other fluid flow problems.
This document discusses flow through pipes, including:
- Laminar and turbulent flow characteristics defined by Reynolds number
- Head losses calculated using Darcy-Weisbach and minor loss equations
- Friction factors determined from Moody diagrams for laminar and turbulent flows
- Total head loss in a pipe system equals major losses in pipe sections plus minor losses from fittings
Fluid Mechanics
Internal and External Flows
Part A
Friction factor, Pipe losses, Boundary Layer, Over external bodies, Flow Separation and control methods, Lift generation, Flow simulation methodology
Part B
Siphon, Transmission of power, Drag and lift, Characteristics of bodies
This is basic course in mechanical engineering both graduate and post graduate level.
Hope you find it helping.
Do like, Share and Comment.
Aditya Deshpande
deshadi805@gmail.com
This document provides an overview of boundary layer concepts and laminar and turbulent pipe flow. It defines boundary layer thickness, displacement thickness, and momentum thickness. It describes how boundary layers develop on surfaces and transition from laminar to turbulent. It also discusses Reynolds number effects, momentum integral estimates for flat plates, and examples calculating boundary layer thickness in air and water flow. Finally, it introduces concepts of laminar and turbulent pipe flow.
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)Rajibul Alam
This document summarizes a study on viscous flow with a focus on boundary layers and their effects. It defines viscosity and describes the boundary layer that forms along a solid surface moving through a fluid. Laminar and turbulent boundary layers are differentiated. The boundary layer equations are presented and used to derive the Navier-Stokes equations that govern viscous fluid flow. Key properties of boundary layers like thickness and velocity profiles are discussed. The interaction of boundary layers and shockwaves is also summarized.
This document provides an introduction to boundary layer theory in fluid mechanics. It defines key terms like boundary layer thickness, displacement thickness, and momentum thickness. The boundary layer is a thin region near a solid surface where velocity gradients exist due to no-slip conditions. As fluid flows over a plate, the boundary layer transitions from laminar to turbulent flow. Boundary layer theory divides fluid flow into the boundary layer region with velocity gradients and an external region with nearly uniform free stream velocity.
The document discusses the derivation of the Navier-Stokes equations, which describe compressible viscous fluid flow. It derives the continuity, momentum, and energy equations using conservation principles. The equations contain terms for advection, pressure, and viscous forces. Viscous stresses are related to velocity gradients via Newton's law of viscosity. The Navier-Stokes equations, along with appropriate equations of state, form the governing equations for fluid dynamics problems.
Forced convection involves an external force moving a fluid over a surface, enhancing heat transfer between the surface and fluid. The rate of heat transfer depends on properties of the fluid and surface, as well as the type of fluid flow. As fluid moves over a surface, velocity and thermal boundary layers form near the surface. For a flat plate, the Nusselt number relationship depends on whether flow is laminar or turbulent. In laminar flow, Nu increases with the 1/2 power of the Reynolds number, while in turbulent flow Nu increases with the 1/4 power of the Reynolds number. These relationships can be used to determine average heat transfer over the plate.
This document defines fluids and their properties. It discusses the differences between solids and fluids, and defines the various states of matter. Fluids are classified as ideal fluids, real fluids, Newtonian fluids, and non-Newtonian fluids. The key properties of fluids discussed include density, specific weight, viscosity, vapor pressure, and surface tension. Concepts such as bulk modulus, compressibility, and capillarity are also introduced. Various fluid flow measurement devices that utilize Bernoulli's equation are briefly mentioned.
The document discusses pressure drop analysis in heat exchangers. It states that the pressure drop in a heat exchanger is essential to determine as it is proportional to the pumping power required. It also directly relates to factors like heat transfer, operation, size and cost of the heat exchanger. The document then goes on to describe methods for calculating pressure drop due to friction and other contributions in different types of heat exchangers like extended surface and plate heat exchangers. Key equations for determining pressure drop from friction, flow acceleration/deceleration and other sources are also presented.
This document discusses fluid mechanics and its various branches and concepts. It begins by defining mechanics, statics, dynamics, and fluid mechanics. It then discusses specific types of fluid mechanics like hydrodynamics, hydraulics, gas dynamics, and aerodynamics. It also discusses classifications of fluid flow such as viscous vs inviscid flow, internal vs external flow, and compressible vs incompressible flow. Finally, it covers key concepts like laminar vs turbulent flow, steady vs unsteady flow, and dimensional flows.
Final Report Turbulant Flat Plate AnsysSultan Islam
- The document describes a computational fluid dynamics (CFD) simulation of turbulent flow over a flat plate using ANSYS CFX.
- The simulation aims to validate results against experimental data from NASA and analyze sensitivity of skin friction coefficient and velocity profiles.
- The flat plate geometry, meshing approach, and boundary conditions are described based on the NASA and Caelus experiments.
- Results for velocity profiles and skin friction coefficients along the plate are presented and validated against experimental trends.
- Grid convergence and sensitivity to turbulence models are analyzed, with the SST and k-epsilon models showing similar results.
This document defines and provides formulas for several dimensionless numbers that are used in engineering calculations involving fluid flow and heat transfer. It discusses the Reynolds number (Re), Prandtl number (Pr), Nusselt number (Nu), Grashof number, Biot number (Bi), Fourier number (Fo), Lewis number (Le), and Mach number (Ma). For each number, it provides the definition and explains what physical phenomenon or calculation the number relates to or can be used for.
This document discusses boundary layer development. It begins by defining boundary layers and describing the velocity profile near a surface. As distance from the leading edge increases, the boundary layer thickness grows due to viscous forces slowing fluid particles. The boundary layer then transitions from laminar to turbulent. Turbulent boundary layers have a logarithmic velocity profile and thicker boundary layer compared to laminar. Pressure gradients and surface roughness also impact boundary layer development and transition.
B.TECH. DEGREE COURSE
SCHEME AND SYLLABUS
(2002-03 admission onwards)
MAHATMA GANDHI UNIVERSITY,mg university, KTU
KOTTAYAM
KERALA
Module 1
Introduction - Proprties of fluids - pressure, force, density, specific weight, compressibility, capillarity, surface tension, dynamic and kinematic viscosity-Pascal’s law-Newtonian and non-Newtonian fluids-fluid statics-measurement of pressure-variation of pressure-manometry-hydrostatic pressure on plane and curved surfaces-centre of pressure-buoyancy-floation-stability of submerged and floating bodies-metacentric height-period of oscillation.
Module 2
Kinematics of fluid motion-Eulerian and Lagrangian approach-classification and representation of fluid flow- path line, stream line and streak line. Basic hydrodynamics-equation for acceleration-continuity equation-rotational and irrotational flow-velocity potential and stream function-circulation and vorticity-vortex flow-energy variation across stream lines-basic field flow such as uniform flow, spiral flow, source, sink, doublet, vortex pair, flow past a cylinder with a circulation, Magnus effect-Joukowski theorem-coefficient of lift.
Module 3
Euler’s momentum equation-Bernoulli’s equation and its limitations-momentum and energy correction factors-pressure variation across uniform conduit and uniform bend-pressure distribution in irrotational flow and in curved boundaries-flow through orifices and mouthpieces, notches and weirs-time of emptying a tank-application of Bernoulli’s theorem-orifice meter, ventury meter, pitot tube, rotameter.
Module 4
Navier-Stoke’s equation-body force-Hagen-Poiseullie equation-boundary layer flow theory-velocity variation- methods of controlling-applications-diffuser-boundary layer separation –wakes, drag force, coefficient of drag, skin friction, pressure, profile and total drag-stream lined body, bluff body-drag force on a rectangular plate-drag coefficient for flow around a cylinder-lift and drag force on an aerofoil-applications of aerofoil- characteristics-work done-aerofoil flow recorder-polar diagram-simple problems.
Module 5
Flow of a real fluid-effect of viscosity on fluid flow-laminar and turbulent flow-boundary layer thickness-displacement, momentum and energy thickness-flow through pipes-laminar and turbulent flow in pipes-critical Reynolds number-Darcy-Weisback equation-hydraulic radius-Moody;s chart-pipes in series and parallel-siphon losses in pipes-power transmission through pipes-water hammer-equivalent pipe-open channel flow-Chezy’s equation-most economical cross section-hydraulic jump.
The document defines and provides the significance of 20 dimensionless numbers used in fluid mechanics and heat transfer analyses. It states the variables and equations used to calculate each number, such as the Reynolds number being the ratio of inertia to viscous forces, the Froude number comparing inertia to gravity forces, and the Nusselt number relating convective to conductive heat transfer. The dimensionless numbers described are used to characterize different types of flows and analyze phenomena involving forces, heat and mass transfer, phase changes, lubrication, and more.
This document discusses different types of boiling phenomena including pool boiling and flow boiling. It explains that pool boiling occurs when a stagnant pool of liquid is heated from below, while flow boiling occurs under bulk motion of the fluid. The document also describes the different boiling regimes that can occur during pool boiling, including nucleate boiling, boiling crisis/departure from nucleate boiling, and film boiling. It discusses bubble growth and collapse during boiling and provides diagrams to illustrate boiling heat flux versus temperature difference.
This document provides an overview of compressible flow concepts including:
- Thermodynamic relations for perfect gases including equations of state relating pressure, density, temperature, and specific heats.
- Stagnation properties and how stagnation pressure, temperature, and density relate to static properties for isentropic flow.
- The Mach number, defined as the ratio of flow velocity to local speed of sound, and its importance in determining whether flow is compressible.
- How conservation of energy applies to nozzles, with stagnation properties (pressure, temperature) remaining constant for isentropic flow.
This presentation discusses filmwise and dropwise condensation. Condensation occurs when vapor is cooled below its saturation temperature, causing it to change into liquid when contacting a cooler surface. Dropwise condensation forms discrete droplets on the surface, which grow and slide off. It occurs on highly polished or contaminated surfaces treated with promoters. Filmwise condensation forms a continuous liquid film on the surface as more vapor condenses. The main differences are that dropwise condensation has 10 times higher heat transfer than filmwise, and occurs on non-wetting surfaces while filmwise occurs on wetting surfaces.
This document provides an introduction and overview of a fluid mechanics course taught by Dr. Mohsin Siddique. It outlines the course details including goals, topics, textbook, and assessment methods. The course aims to provide an understanding of fluid statics and dynamics concepts. Key topics covered include fluid properties, fluid statics, fluid flow measurements, dimensional analysis, and fluid flow in pipes and open channels. Students will be evaluated through assignments, quizzes, a midterm exam, and a final exam. The course intends to develop skills relevant to various engineering fields involving fluid mechanics.
This document discusses key concepts in fluid dynamics, including:
1. Fluid flow, viscosity, and Bernoulli's equation are the main properties of fluid dynamics. Fluid flow is the movement of a fluid and can be steady or turbulent. Viscosity is the resistance of fluid layers sliding past one another.
2. Bernoulli's equation relates pressure, velocity, and elevation in fluid systems. It states that the total mechanical energy (pressure + potential + kinetic energy) remains constant in fluid flow. Higher velocities correspond to lower pressures.
3. Other topics covered include streamlines, continuity equation, rate of flow, factors affecting viscosity, and examples applying Bernoulli's equation. The goal is to analyze pressure and velocity in various
This document discusses forces on bodies immersed in fluids, specifically drag and lift forces. It defines drag as the force component in the direction of fluid flow and lift as the perpendicular component. Drag and lift depend on factors like fluid density, velocity, and body size/shape. Dimensionless coefficients are used to characterize drag and lift. Specific examples like Stokes' law for drag on a sphere in low Reynolds number flow are provided. Applications like calculating terminal velocity and fluid viscosity are also mentioned.
The document introduces boundary layer analysis and its key concepts. It discusses that near a solid boundary, viscosity causes a thin boundary layer to form where velocity gradients exist. Outside this layer, viscosity effects are small and potential flow can be assumed. The boundary layer thickness increases downstream and may transition from laminar to turbulent. Key definitions are provided for boundary layer thickness, displacement thickness, momentum thickness, and energy thickness. Applications of boundary layer analysis include external aerodynamics and heat transfer calculations.
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)Rajibul Alam
This document summarizes a study on viscous flow with a focus on boundary layers and their effects. It defines viscosity and describes the boundary layer that forms along a solid surface moving through a fluid. Laminar and turbulent boundary layers are differentiated. The boundary layer equations are presented and used to derive the Navier-Stokes equations that govern viscous fluid flow. Key properties of boundary layers like thickness and velocity profiles are discussed. The interaction of boundary layers and shockwaves is also summarized.
This document provides an introduction to boundary layer theory in fluid mechanics. It defines key terms like boundary layer thickness, displacement thickness, and momentum thickness. The boundary layer is a thin region near a solid surface where velocity gradients exist due to no-slip conditions. As fluid flows over a plate, the boundary layer transitions from laminar to turbulent flow. Boundary layer theory divides fluid flow into the boundary layer region with velocity gradients and an external region with nearly uniform free stream velocity.
The document discusses the derivation of the Navier-Stokes equations, which describe compressible viscous fluid flow. It derives the continuity, momentum, and energy equations using conservation principles. The equations contain terms for advection, pressure, and viscous forces. Viscous stresses are related to velocity gradients via Newton's law of viscosity. The Navier-Stokes equations, along with appropriate equations of state, form the governing equations for fluid dynamics problems.
Forced convection involves an external force moving a fluid over a surface, enhancing heat transfer between the surface and fluid. The rate of heat transfer depends on properties of the fluid and surface, as well as the type of fluid flow. As fluid moves over a surface, velocity and thermal boundary layers form near the surface. For a flat plate, the Nusselt number relationship depends on whether flow is laminar or turbulent. In laminar flow, Nu increases with the 1/2 power of the Reynolds number, while in turbulent flow Nu increases with the 1/4 power of the Reynolds number. These relationships can be used to determine average heat transfer over the plate.
This document defines fluids and their properties. It discusses the differences between solids and fluids, and defines the various states of matter. Fluids are classified as ideal fluids, real fluids, Newtonian fluids, and non-Newtonian fluids. The key properties of fluids discussed include density, specific weight, viscosity, vapor pressure, and surface tension. Concepts such as bulk modulus, compressibility, and capillarity are also introduced. Various fluid flow measurement devices that utilize Bernoulli's equation are briefly mentioned.
The document discusses pressure drop analysis in heat exchangers. It states that the pressure drop in a heat exchanger is essential to determine as it is proportional to the pumping power required. It also directly relates to factors like heat transfer, operation, size and cost of the heat exchanger. The document then goes on to describe methods for calculating pressure drop due to friction and other contributions in different types of heat exchangers like extended surface and plate heat exchangers. Key equations for determining pressure drop from friction, flow acceleration/deceleration and other sources are also presented.
This document discusses fluid mechanics and its various branches and concepts. It begins by defining mechanics, statics, dynamics, and fluid mechanics. It then discusses specific types of fluid mechanics like hydrodynamics, hydraulics, gas dynamics, and aerodynamics. It also discusses classifications of fluid flow such as viscous vs inviscid flow, internal vs external flow, and compressible vs incompressible flow. Finally, it covers key concepts like laminar vs turbulent flow, steady vs unsteady flow, and dimensional flows.
Final Report Turbulant Flat Plate AnsysSultan Islam
- The document describes a computational fluid dynamics (CFD) simulation of turbulent flow over a flat plate using ANSYS CFX.
- The simulation aims to validate results against experimental data from NASA and analyze sensitivity of skin friction coefficient and velocity profiles.
- The flat plate geometry, meshing approach, and boundary conditions are described based on the NASA and Caelus experiments.
- Results for velocity profiles and skin friction coefficients along the plate are presented and validated against experimental trends.
- Grid convergence and sensitivity to turbulence models are analyzed, with the SST and k-epsilon models showing similar results.
This document defines and provides formulas for several dimensionless numbers that are used in engineering calculations involving fluid flow and heat transfer. It discusses the Reynolds number (Re), Prandtl number (Pr), Nusselt number (Nu), Grashof number, Biot number (Bi), Fourier number (Fo), Lewis number (Le), and Mach number (Ma). For each number, it provides the definition and explains what physical phenomenon or calculation the number relates to or can be used for.
This document discusses boundary layer development. It begins by defining boundary layers and describing the velocity profile near a surface. As distance from the leading edge increases, the boundary layer thickness grows due to viscous forces slowing fluid particles. The boundary layer then transitions from laminar to turbulent. Turbulent boundary layers have a logarithmic velocity profile and thicker boundary layer compared to laminar. Pressure gradients and surface roughness also impact boundary layer development and transition.
B.TECH. DEGREE COURSE
SCHEME AND SYLLABUS
(2002-03 admission onwards)
MAHATMA GANDHI UNIVERSITY,mg university, KTU
KOTTAYAM
KERALA
Module 1
Introduction - Proprties of fluids - pressure, force, density, specific weight, compressibility, capillarity, surface tension, dynamic and kinematic viscosity-Pascal’s law-Newtonian and non-Newtonian fluids-fluid statics-measurement of pressure-variation of pressure-manometry-hydrostatic pressure on plane and curved surfaces-centre of pressure-buoyancy-floation-stability of submerged and floating bodies-metacentric height-period of oscillation.
Module 2
Kinematics of fluid motion-Eulerian and Lagrangian approach-classification and representation of fluid flow- path line, stream line and streak line. Basic hydrodynamics-equation for acceleration-continuity equation-rotational and irrotational flow-velocity potential and stream function-circulation and vorticity-vortex flow-energy variation across stream lines-basic field flow such as uniform flow, spiral flow, source, sink, doublet, vortex pair, flow past a cylinder with a circulation, Magnus effect-Joukowski theorem-coefficient of lift.
Module 3
Euler’s momentum equation-Bernoulli’s equation and its limitations-momentum and energy correction factors-pressure variation across uniform conduit and uniform bend-pressure distribution in irrotational flow and in curved boundaries-flow through orifices and mouthpieces, notches and weirs-time of emptying a tank-application of Bernoulli’s theorem-orifice meter, ventury meter, pitot tube, rotameter.
Module 4
Navier-Stoke’s equation-body force-Hagen-Poiseullie equation-boundary layer flow theory-velocity variation- methods of controlling-applications-diffuser-boundary layer separation –wakes, drag force, coefficient of drag, skin friction, pressure, profile and total drag-stream lined body, bluff body-drag force on a rectangular plate-drag coefficient for flow around a cylinder-lift and drag force on an aerofoil-applications of aerofoil- characteristics-work done-aerofoil flow recorder-polar diagram-simple problems.
Module 5
Flow of a real fluid-effect of viscosity on fluid flow-laminar and turbulent flow-boundary layer thickness-displacement, momentum and energy thickness-flow through pipes-laminar and turbulent flow in pipes-critical Reynolds number-Darcy-Weisback equation-hydraulic radius-Moody;s chart-pipes in series and parallel-siphon losses in pipes-power transmission through pipes-water hammer-equivalent pipe-open channel flow-Chezy’s equation-most economical cross section-hydraulic jump.
The document defines and provides the significance of 20 dimensionless numbers used in fluid mechanics and heat transfer analyses. It states the variables and equations used to calculate each number, such as the Reynolds number being the ratio of inertia to viscous forces, the Froude number comparing inertia to gravity forces, and the Nusselt number relating convective to conductive heat transfer. The dimensionless numbers described are used to characterize different types of flows and analyze phenomena involving forces, heat and mass transfer, phase changes, lubrication, and more.
This document discusses different types of boiling phenomena including pool boiling and flow boiling. It explains that pool boiling occurs when a stagnant pool of liquid is heated from below, while flow boiling occurs under bulk motion of the fluid. The document also describes the different boiling regimes that can occur during pool boiling, including nucleate boiling, boiling crisis/departure from nucleate boiling, and film boiling. It discusses bubble growth and collapse during boiling and provides diagrams to illustrate boiling heat flux versus temperature difference.
This document provides an overview of compressible flow concepts including:
- Thermodynamic relations for perfect gases including equations of state relating pressure, density, temperature, and specific heats.
- Stagnation properties and how stagnation pressure, temperature, and density relate to static properties for isentropic flow.
- The Mach number, defined as the ratio of flow velocity to local speed of sound, and its importance in determining whether flow is compressible.
- How conservation of energy applies to nozzles, with stagnation properties (pressure, temperature) remaining constant for isentropic flow.
This presentation discusses filmwise and dropwise condensation. Condensation occurs when vapor is cooled below its saturation temperature, causing it to change into liquid when contacting a cooler surface. Dropwise condensation forms discrete droplets on the surface, which grow and slide off. It occurs on highly polished or contaminated surfaces treated with promoters. Filmwise condensation forms a continuous liquid film on the surface as more vapor condenses. The main differences are that dropwise condensation has 10 times higher heat transfer than filmwise, and occurs on non-wetting surfaces while filmwise occurs on wetting surfaces.
This document provides an introduction and overview of a fluid mechanics course taught by Dr. Mohsin Siddique. It outlines the course details including goals, topics, textbook, and assessment methods. The course aims to provide an understanding of fluid statics and dynamics concepts. Key topics covered include fluid properties, fluid statics, fluid flow measurements, dimensional analysis, and fluid flow in pipes and open channels. Students will be evaluated through assignments, quizzes, a midterm exam, and a final exam. The course intends to develop skills relevant to various engineering fields involving fluid mechanics.
This document discusses key concepts in fluid dynamics, including:
1. Fluid flow, viscosity, and Bernoulli's equation are the main properties of fluid dynamics. Fluid flow is the movement of a fluid and can be steady or turbulent. Viscosity is the resistance of fluid layers sliding past one another.
2. Bernoulli's equation relates pressure, velocity, and elevation in fluid systems. It states that the total mechanical energy (pressure + potential + kinetic energy) remains constant in fluid flow. Higher velocities correspond to lower pressures.
3. Other topics covered include streamlines, continuity equation, rate of flow, factors affecting viscosity, and examples applying Bernoulli's equation. The goal is to analyze pressure and velocity in various
This document discusses forces on bodies immersed in fluids, specifically drag and lift forces. It defines drag as the force component in the direction of fluid flow and lift as the perpendicular component. Drag and lift depend on factors like fluid density, velocity, and body size/shape. Dimensionless coefficients are used to characterize drag and lift. Specific examples like Stokes' law for drag on a sphere in low Reynolds number flow are provided. Applications like calculating terminal velocity and fluid viscosity are also mentioned.
The document introduces boundary layer analysis and its key concepts. It discusses that near a solid boundary, viscosity causes a thin boundary layer to form where velocity gradients exist. Outside this layer, viscosity effects are small and potential flow can be assumed. The boundary layer thickness increases downstream and may transition from laminar to turbulent. Key definitions are provided for boundary layer thickness, displacement thickness, momentum thickness, and energy thickness. Applications of boundary layer analysis include external aerodynamics and heat transfer calculations.
Cafe Coffee Day (CCD) average sale per day were up 11.58% to ₹17,140 during the quarter as against ₹15,361 in January-March last fiscal year.
During the quarter under review, its same-store sales growth was up 4.9%. However, year-on-year, its cafe outlet count was down by 13.46% as the number of operational stores came down to 495 in Q4.
It was operating 501 stores in October-December of FY22 and 572 in the corresponding January-March quarter of FY21. Vending machine count was down to 45,217 during the quarter under review from 45,959 in the year-ago period.
For the fiscal ended March 2022, Coffee Day Global narrowed net loss to ₹113.44 crore. It had reported a net loss of ₹306.54 crore in the previous fiscal. Its revenue from operations was ₹496.26 crore in FY22 - 23.81% higher than in the year-ago period.
Boundary layer concept
Characteristics of boundary layer along a thin flat plate,
Von Karman momentum integral equation,
Laminar and Turbulent Boundary layers
Separation of Boundary Layer,
Control of Boundary Layer,
flow around submerged objects-
Drag and Lift- Expression
Magnus effect.
There are several types of drag that oppose the forward motion of an aircraft:
1) Form drag is caused by the shape of the aircraft and separation of air flowing over it. Skin friction drag results from air particles contacting the aircraft surface.
2) Induced drag is caused by lift and increases with angle of attack. It varies inversely with airspeed.
3) Parasitic drag includes form and skin friction drag and increases with airspeed. Wave drag occurs above the speed of sound due to shock waves.
4) Induced drag dominates at low speeds while parasitic drag increases rapidly at high speeds. Total drag equals parasitic plus induced drag. Drag decreases with reduced air density at higher altitudes.
The document discusses boundary layer concepts and applications including:
1) Boundary layer thicknesses such as displacement thickness and momentum thickness.
2) The exact solution of laminar flow over a flat plate including the governing equations and Blasius solution.
3) Using the momentum integral equation to estimate boundary layer thickness for flows with zero pressure gradient, comparing laminar and turbulent flow results.
4) Drag concepts including friction drag on flat plates and pressure drag on spheres and cylinders, and how streamlining can reduce pressure drag.
5) Lift concepts including characteristics of airfoils and induced drag.
This document discusses boundary layer theory. It introduces boundary layers, which form along surfaces where a fluid is flowing. In the boundary layer region near the surface, viscosity causes the fluid velocity to gradually increase from zero at the surface to the free stream velocity. Boundary layers can be laminar or turbulent depending on the Reynolds number. Separation occurs when the boundary layer detaches from the surface, such as in adverse pressure gradients. Methods to control separation include streamlining objects, adding roughness to promote turbulence, and accelerating the fluid within the boundary layer.
This document discusses surface and interfacial phenomena. It defines interfaces and surfaces, and describes different types of interfaces including liquid interfaces. It explains concepts such as surface tension, interfacial tension, and surface free energy. Methods for measuring surface and interfacial tensions like the capillary rise method, Du Nouy ring method, and drop weight method are summarized. The document also discusses spreading coefficients and adsorption at liquid interfaces.
When a fluid flows over a solid boundary, its velocity matches that of the boundary due to no slip. Near the boundary, a thin region called the boundary layer forms where velocity increases from zero at the boundary to the free stream value. Within this layer, a velocity gradient and shear stress exist due to the changing velocity from the boundary to outside flow. The boundary layer thickness is where velocity reaches 99% of the free stream value, while displacement thickness represents the boundary shift needed to compensate for reduced flow due to the layer. Boundary layer separation can occur where flow detaches from the boundary.
This document discusses laminar and turbulent flow, boundary layer theory, and the Moody chart. It defines laminar and turbulent flow and describes Reynold's experiment. It introduces boundary layer theory, defining boundary layer thickness using nominal, displacement, momentum, and energy thicknesses. It describes how the boundary layer develops over a flat plate from laminar to turbulent. The Moody chart is introduced as relating friction factor, Reynolds number, and surface roughness to predict pressure drop in pipe flow.
The document discusses boundary layer separation, which occurs when the boundary layer can no longer stick to the surface of a solid body as the fluid flows over it. This is called boundary layer separation and leads to disadvantages like additional resistance to flow and loss of energy. Methods to control separation include accelerating the fluid in the boundary layer, suctioning fluid from the boundary layer, and moving the solid boundary to match the fluid velocity. Boundary layer separation tends to occur at the inner radius of bends due to pressure gradients.
Boundary layer PCS1.pptx Fluid Mechanics and Fluid DynamicsRoshanNayak26
The document discusses boundary layer theory and flow separation. Some key points:
- A boundary layer exists near surfaces where a fluid is flowing, within which viscous forces are present. Boundary layers can be laminar or turbulent depending on the Reynolds number.
- Flow separation occurs when the boundary layer detaches from the surface, such as when flowing in an adverse pressure gradient. After separation, eddies and vortices form downstream.
- Separation causes increased drag and other problems. Efforts are made to delay separation through surface design, such as dimples on golf balls and vortex generators on aircraft.
- The Strouhal number characterizes vortex shedding and is a function of flow
The document discusses boundary layers and flow separation. It defines a boundary layer as the layer of fluid close to a surface where viscous forces are present when there is relative motion between the fluid and surface. It notes that boundary layers can be laminar or turbulent, and the Reynolds number determines which type will form. It then explains that flow separation occurs when the boundary layer detaches from the surface, often due to an adverse pressure gradient causing the flow speed at the surface to reduce to zero or become negative. Flow separation can reduce lift and increase drag on objects like aircraft.
This document provides an overview of boundary layer theory, including:
1) The boundary layer is the thin layer of fluid near a solid surface where shear stresses exist due to viscosity.
2) Boundary layers can be laminar or turbulent, and develop differently over flat plates.
3) Displacement thickness, momentum thickness, and energy thickness are concepts used to characterize boundary layers.
4) Boundary layer separation can occur when pressure forces increase in the flow direction, overwhelming viscous and inertia forces. Methods to control separation include accelerating the boundary layer, suction, or moving the solid boundary.
This document discusses various types of fluid motion in the atmosphere. It begins by defining turbulence as chaotic and irregular fluid motion, in contrast to laminar flow. Turbulence is more likely at high fluid velocities and low viscosities. The onset of turbulence can be predicted using the Reynolds number. Vorticity measures the local spinning motion of a fluid and is related to circulation via Stokes' theorem. Atmospheric waves, including gravity waves and Rossby waves, are periodic disturbances that can propagate through the atmosphere. Gravity waves result from displacement of air masses, while Rossby waves are planetary-scale waves caused by variations in the Coriolis effect with latitude.
When a body moves through a fluid, it experiences two forces: drag and lift. Drag acts in the direction of flow and slows the body down, while lift acts perpendicular to flow. These forces depend on factors like the fluid's velocity, density, the body's size and shape, and its orientation to the flow. For streamlined bodies, drag is minimized by reducing pressure drag from separated or turbulent flow. Blunt bodies experience greater pressure drag due to larger separated regions behind them. The boundary layer concept is used to analyze fluid forces on a body by considering the very thin layer of slowed fluid near the body's surface.
Slip and twinning are two important deformation mechanisms in crystals. Slip involves the sliding of atomic planes over one another along crystallographic planes called slip planes, and occurs when the critical resolved shear stress is exceeded. It is controlled by dislocations. Twinning involves mirror-image reflections on either side of a twinning plane, where successive atomic planes are displaced by increasing amounts. Twinning accommodates deformation by changing the crystal orientation and is important when slip systems are limited. The key differences between slip and twinning are that slip is a line defect controlled by dislocations while twinning is a grain boundary surface defect.
Fluid mechanics concepts and properties are introduced. Key points include:
- Fluids continuously deform under shear stress, while solids resist deformation. Fluid properties like density, viscosity, and surface tension are defined.
- Pressure in static fluids is the same in all directions at a point (Pascal's law) and decreases with height due to gravity.
- Viscosity measures a fluid's resistance to flow and can vary between Newtonian and non-Newtonian fluids. Surface tension causes minimization of surface area.
- Capillarity describes how liquids rise in narrow spaces due to cohesive and adhesive forces. Kinematic viscosity relates absolute viscosity to density.
1) The document discusses heat transfer via external forced convection, specifically over flat plates, cylinders, spheres, and tube banks. It provides equations and correlations for calculating the Nusselt number, heat transfer coefficient, friction factor, and drag coefficient in these situations.
2) Key aspects covered include the transition from laminar to turbulent flow, variations in the local heat transfer coefficient, and the effects of surface roughness.
3) Flow over tube banks is also analyzed, considering both inline and staggered tube arrangements. Correlations are given for calculating the average Nusselt number in these tube bank configurations.
Folds are undulations or bends in rock layers caused by compressional forces. Key elements of folds include the wavelength, amplitude, hinge point, hinge line, and limbs. Folds can be classified based on their shape, orientation, and other geometric properties. Folds form as a result of tectonic and non-tectonic processes and can be recognized based on field observations like bedding repetition patterns and thickness variations.
Height and depth gauge linear metrology.pdfq30122000
Height gauges may also be used to measure the height of an object by using the underside of the scriber as the datum. The datum may be permanently fixed or the height gauge may have provision to adjust the scale, this is done by sliding the scale vertically along the body of the height gauge by turning a fine feed screw at the top of the gauge; then with the scriber set to the same level as the base, the scale can be matched to it. This adjustment allows different scribers or probes to be used, as well as adjusting for any errors in a damaged or resharpened probe.
Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...PriyankaKilaniya
Energy efficiency has been important since the latter part of the last century. The main object of this survey is to determine the energy efficiency knowledge among consumers. Two separate districts in Bangladesh are selected to conduct the survey on households and showrooms about the energy and seller also. The survey uses the data to find some regression equations from which it is easy to predict energy efficiency knowledge. The data is analyzed and calculated based on five important criteria. The initial target was to find some factors that help predict a person's energy efficiency knowledge. From the survey, it is found that the energy efficiency awareness among the people of our country is very low. Relationships between household energy use behaviors are estimated using a unique dataset of about 40 households and 20 showrooms in Bangladesh's Chapainawabganj and Bagerhat districts. Knowledge of energy consumption and energy efficiency technology options is found to be associated with household use of energy conservation practices. Household characteristics also influence household energy use behavior. Younger household cohorts are more likely to adopt energy-efficient technologies and energy conservation practices and place primary importance on energy saving for environmental reasons. Education also influences attitudes toward energy conservation in Bangladesh. Low-education households indicate they primarily save electricity for the environment while high-education households indicate they are motivated by environmental concerns.
Blood finder application project report (1).pdfKamal Acharya
Blood Finder is an emergency time app where a user can search for the blood banks as
well as the registered blood donors around Mumbai. This application also provide an
opportunity for the user of this application to become a registered donor for this user have
to enroll for the donor request from the application itself. If the admin wish to make user
a registered donor, with some of the formalities with the organization it can be done.
Specialization of this application is that the user will not have to register on sign-in for
searching the blood banks and blood donors it can be just done by installing the
application to the mobile.
The purpose of making this application is to save the user’s time for searching blood of
needed blood group during the time of the emergency.
This is an android application developed in Java and XML with the connectivity of
SQLite database. This application will provide most of basic functionality required for an
emergency time application. All the details of Blood banks and Blood donors are stored
in the database i.e. SQLite.
This application allowed the user to get all the information regarding blood banks and
blood donors such as Name, Number, Address, Blood Group, rather than searching it on
the different websites and wasting the precious time. This application is effective and
user friendly.
Accident detection system project report.pdfKamal Acharya
The Rapid growth of technology and infrastructure has made our lives easier. The
advent of technology has also increased the traffic hazards and the road accidents take place
frequently which causes huge loss of life and property because of the poor emergency facilities.
Many lives could have been saved if emergency service could get accident information and
reach in time. Our project will provide an optimum solution to this draw back. A piezo electric
sensor can be used as a crash or rollover detector of the vehicle during and after a crash. With
signals from a piezo electric sensor, a severe accident can be recognized. According to this
project when a vehicle meets with an accident immediately piezo electric sensor will detect the
signal or if a car rolls over. Then with the help of GSM module and GPS module, the location
will be sent to the emergency contact. Then after conforming the location necessary action will
be taken. If the person meets with a small accident or if there is no serious threat to anyone’s
life, then the alert message can be terminated by the driver by a switch provided in order to
avoid wasting the valuable time of the medical rescue team.
Software Engineering and Project Management - Software Testing + Agile Method...Prakhyath Rai
Software Testing: A Strategic Approach to Software Testing, Strategic Issues, Test Strategies for Conventional Software, Test Strategies for Object -Oriented Software, Validation Testing, System Testing, The Art of Debugging.
Agile Methodology: Before Agile – Waterfall, Agile Development.
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...Transcat
Join us for this solutions-based webinar on the tools and techniques for commissioning and maintaining PV Systems. In this session, we'll review the process of building and maintaining a solar array, starting with installation and commissioning, then reviewing operations and maintenance of the system. This course will review insulation resistance testing, I-V curve testing, earth-bond continuity, ground resistance testing, performance tests, visual inspections, ground and arc fault testing procedures, and power quality analysis.
Fluke Solar Application Specialist Will White is presenting on this engaging topic:
Will has worked in the renewable energy industry since 2005, first as an installer for a small east coast solar integrator before adding sales, design, and project management to his skillset. In 2022, Will joined Fluke as a solar application specialist, where he supports their renewable energy testing equipment like IV-curve tracers, electrical meters, and thermal imaging cameras. Experienced in wind power, solar thermal, energy storage, and all scales of PV, Will has primarily focused on residential and small commercial systems. He is passionate about implementing high-quality, code-compliant installation techniques.
Open Channel Flow: fluid flow with a free surfaceIndrajeet sahu
Open Channel Flow: This topic focuses on fluid flow with a free surface, such as in rivers, canals, and drainage ditches. Key concepts include the classification of flow types (steady vs. unsteady, uniform vs. non-uniform), hydraulic radius, flow resistance, Manning's equation, critical flow conditions, and energy and momentum principles. It also covers flow measurement techniques, gradually varied flow analysis, and the design of open channels. Understanding these principles is vital for effective water resource management and engineering applications.
Supermarket Management System Project Report.pdfKamal Acharya
Supermarket management is a stand-alone J2EE using Eclipse Juno program.
This project contains all the necessary required information about maintaining
the supermarket billing system.
The core idea of this project to minimize the paper work and centralize the
data. Here all the communication is taken in secure manner. That is, in this
application the information will be stored in client itself. For further security the
data base is stored in the back-end oracle and so no intruders can access it.
Home security is of paramount importance in today's world, where we rely more on technology, home
security is crucial. Using technology to make homes safer and easier to control from anywhere is
important. Home security is important for the occupant’s safety. In this paper, we came up with a low cost,
AI based model home security system. The system has a user-friendly interface, allowing users to start
model training and face detection with simple keyboard commands. Our goal is to introduce an innovative
home security system using facial recognition technology. Unlike traditional systems, this system trains
and saves images of friends and family members. The system scans this folder to recognize familiar faces
and provides real-time monitoring. If an unfamiliar face is detected, it promptly sends an email alert,
ensuring a proactive response to potential security threats.
1. External Flows (Unit- V)
• Fluid mechanics
• Prof. S. B. Powar
• Mechanical Engineering Department
2. • Boundary layer formation for flow over Flat plate, boundary
layer thickness:-displacement, momentum and energy.
• Separation of Boundary Layer and Methods of Controlling.
• Drag force on flat plate due to boundary layer formation
(Von-Karman momentum integral equation)
• Forces on immersed bodies: -Lift and Drag, types of bodies-
Bluff, streamline. Terminal velocity, drag and lift on stationary
and rotating cylinder. Drag on sphere.
Content
3. External Flows
• Flows around the object which is completely surrounded by
the fluid
e.g. Fluid motion over a flat plate.
Air flowing around aeroplane.
Water flowing around submarines.
5. Boundary Layer
• A thin layer of fluid in the vicinity of boundary whose velocity
is affected due to viscous shear is called as Boundary Layer
• The region normal to the surface, in which velocity gradient
exists is known as Boundary Layer.
10. Factors affecting the growth of boundary layer
• The distance from the leading edge
• Viscosity of fluid
• The free stream velocity
• Density of fluid
11. Importance of boundary layer theory
• Calculation of friction drag of bodies in a flow.
• Calculation of pressure drag formed because of boundary
layer separation.
• Answers the important question of what shape a body
must have in order to avoid separation.
12. Nominal thickness
• It is defined as that distance from the boundary in which the
velocity reaches 99% of the main stream velocity
13.
14. • Nominal thickness gives an approximate value of the boundary
layer thickness.
• For greater accuracy the boundary layer thickness is defined in
terms of certain mathematical expressions which are the
measures of the effect of boundary layer on the flow.
15. Displacement Thickness
• It is defined as the distance measured perpendicular from the
actual boundary such that the discharge through this distance
is equal to the reduction in discharge due to boundary layer
formation
17. Consider a strip of height ‘dy’ and width ‘b’
Mass flow rate through the strip =
If there is no surface then Mass
flow rate through the strip =
Reduction in Mass flow rate
through the strip =
20. Momentum Thickness
• It is defined as the distance measured perpendicular from the
actual boundary such that the momentum through this
distance is equal to the reduction in momentum due to
boundary layer formation
21. Momentum Thickness
Reduction in momentum flux
due to boundary layer formation
=
Reduction in momentum flux due
to movement of surface
24. Energy Thickness
• It is defined as the distance measured perpendicular from the
actual boundary such that the kinetic energy through this
distance is equal to the reduction in kinetic energy due to
boundary layer formation
30. • Convergent flow-negative
pressure gradient
• Favourable pressure
gradient
• Pressure decreases and
velocity increases
• Fluid particles are
accelerated
• Boundary layer is held in
place
• Divergent flow-positive
pressure gradient
• Adverse pressure gradient
• Pressure increases and
velocity decreases
• Fluid particles are
deaccelerated
• Adverse pressure gradient
may lead to negative
velocity or flow reversal
gradientpressure
favorable,0
x
P
0, adverse
pressure gradient
P
x
33. Boundary Layer and separation
gradientpressure
favorable,0
x
P
gradientno,0
x
P
0, adverse
pressure gradient
P
x
Flow accelerates Flow decelerates
Constant flow
Flow reversal
free shear layer
highly unstable
Separation point
34. Effects of separation
• Large amount of energy is lost
• Pressure drag is increased and hence additional resistance to
movement of the body is developed
• Bodies are subjected to lateral vibrations
54. Skin friction drag and pressure drag
Pressure drag is nearly zero Friction drag is nearly zero
55.
56. Bluff Body and Streamlined Body
Bluff Body –
The body whose surface does not coincide with the
streamlines when placed in the flow is known as Bluff Body
Flow separation take place much ahead of trailing edge.
Large wake formation zone
57. Bluff Body and Streamlined Body
Streamlined Body –
The body whose surface coincides with the streamlines when
placed in the flow is known as Streamlined Body
Flow separation take place near the trailing edge.
small wake formation zone
Pressure drag is small
60. Terminal Velocity
The maximum constant velocity of a falling body with which
body is travelling is known as terminal velocity
Example- Sphere falling from sufficient height, Parachute with
man
At Terminal velocity
Weight of Body = Drag Force + Buoyant Force
W = FD + FB
A parachutist has a mass of 90 kg and a projected frontal area of 0.30
m2 in free fall. The drag coefficient based on frontal area is found to be
0.75. If the air density is 1.28 kg/m3, the terminal velocity of the
parachutist will be: [IES-1999]
(a) 104.4 m/s (b) 78.3 m/s
(b) (c) 25 m/s (d) 18.5 m/s