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A
Presentation
On
Fluid Mechanics
Mechanical Engineering
By
P.A. Bojage
Sanjivani College of Engineering, Kopargaon
Contents
 Introduction to Fluid Mechanics
 Fluid
 Fluid & Their Properties
 Density
 Specific Gravity
 Viscosity
 Vapour Pressure
 Surface Tension & Capillarity
 Pascal’s Law
Sanjivani College of Engineering, Kopargaon
Fluid :-
Fluid :-
“ Fluid is a substance which is capable of Flowing”
Fluid Characteristics :-
1. It has no definite shape.
2. It occupies the shape of the vessel in which it is
filled.
3. A small amount of shear force exerted on a
liquid will cause deformation which continuous
as long as the force continues to be applied.
Sanjivani College of Engineering, Kopargaon
Classification of Fluids:-
1. Liquid :- A Fluid that has a definite volume.
2. Gas :- It possesses no definite volume & is
compressible.
3. Vapour :- It is a gas whose temperature and
pressure are such that it is very near to the
liquid state. (e.g. steam).
4. Ideal Fluid :- An ideal fluid is fluid which has
no viscosity, surface tension and is
incompressible.
( Ideal fluids don’t exists in nature.)
5. Real Fluid:- A real fluid is one which has
viscosity, surface tension and compressibility
along with density.
( All fluids existing in nature are real fluids.)
Sanjivani College of Engineering, Kopargaon
Fluid Mechanics:-
Fluid Mechanics :-
“ It is the branch of Engineering which deals with the behavior of
fluid under the conditions of rest and motion.”
Fluid Mechanics is divided into three parts.
1. Statics :- The study of incompressible fluids under static
condition is called Fluid Statics.
2. Kinematics :- It deals study of fluid with velocity, acceleration
and the patterns of flow.
3. Dynamics :- It deals with the relations between velocities,
accelerations of fluid with the forces causing them.
Sanjivani College of Engineering, Kopargaon
Fluid Properties :-
1. Density :-
Density is simply mass per unit volume at standard
temperature & pressure.
 = m
V(It varies slightly with temperature and pressure.)
The S.I. unit for density is the kg / m 3.
Density is the measure of the “compactness” of a
material
Sanjivani College of Engineering, Kopargaon
2. Weight Density :-
It is defined as the weight per unit volume at standard
temperature & pressure.
ω = ϱ . g
The S.I. unit for density is the kN / m 3.
The Specific weight of Water is ω = 9.81 kN / m 3
Sanjivani College of Engineering, Kopargaon
2. Specific Gravity :-
Specific gravity is the ratio of the specific weight of the
liquid to the specific weight of a standard fluid.
Specific Weight = (Sp Wt of Liquid/Sp Wt of pure water)
It is dimensionless & has no unit.
For Liquids, the standard fluid is pure water at 4° C.
Sanjivani College of Engineering, Kopargaon
Viscosity:-
“Viscosity is the resistance that a fluid
offers to flow when subject to a shear”
In an ideal liquid there would be no
viscosity, as there would be no
forces acting between layers of a
fluid
In reality, fluid layers interact through
“frictional” forces. Each layer of fluid
will drag the next layer to some
extent
Force
Ideal Fluid
Real Fluid
Sanjivani College of Engineering, Kopargaon
Newton’s Law of Viscosity:-
F-
Force
“This law states that the shear stress on a
Fluid Element layer is directly proportional
to the rate of Shear strain”.
The constant of proportionality is called
co-efficient of viscosity. Sir Isaac Newton( 1642 – 1727)
Sanjivani College of Engineering, Kopargaon
Describing Viscosity :
(fluid is still at lower surface)
(Fastest moving layer of fluid)
Velocity gradient at y1: g =
(shear rate)
du
dy
Sanjivani College of Engineering, Kopargaon
Newton’s Law:-
Area
A
Force
Shear Stress: t = F/A
Shear stress is the force delivered parallel to
an area of the fluid surface
Shear stress and shear rate are related by the
proportionality constant h (known as the viscosity)
dy
du
 
Sanjivani College of Engineering, Kopargaon
Vapour Pressure:-
 Consider a liquid contained in a closed vessel, the
vapour molecules gets accumulated in the space
between the free surface & the top of vessel.
 This accumulated vapour of the liquid exerts a
partial pressure on the liquid surface is known as
vapour pressure.
 Mercury has very low vapour pressure (0.173 N/m²)
and high density (13000 kg/m³)
Vapour Pressure =
F
A
Sanjivani College of Engineering, Kopargaon
Surface Tension:
 Surface tension is caused by the force of cohesion &
adhesion.
 Cohesion:-
Cohesion means intermolecular attraction between
molecules of the same liquid.
• Adhesion:-
• Adhesion means attraction between the molecules of a
liquid & the molecules of a solid boundary surface in
contact with the liquid.
• Surface tension is expressed in N/m.
Sanjivani College of Engineering, Kopargaon
Cohesion:-
Sanjivani College of Engineering, Kopargaon
Surface Tension:-
Cohesion Adhesion
Sanjivani College of Engineering, Kopargaon
Pascal’s Law:-
 Pascal's Law-- It states that pressure at any
point in a body of fluid is the same in every
direction, exerting equal force on equal areas.
 This is applicable for gases and liquids (both
are fluids).
Sanjivani College of Engineering, Kopargaon

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Introduction to fluid properties

  • 1. A Presentation On Fluid Mechanics Mechanical Engineering By P.A. Bojage Sanjivani College of Engineering, Kopargaon
  • 2. Contents  Introduction to Fluid Mechanics  Fluid  Fluid & Their Properties  Density  Specific Gravity  Viscosity  Vapour Pressure  Surface Tension & Capillarity  Pascal’s Law Sanjivani College of Engineering, Kopargaon
  • 3. Fluid :- Fluid :- “ Fluid is a substance which is capable of Flowing” Fluid Characteristics :- 1. It has no definite shape. 2. It occupies the shape of the vessel in which it is filled. 3. A small amount of shear force exerted on a liquid will cause deformation which continuous as long as the force continues to be applied. Sanjivani College of Engineering, Kopargaon
  • 4. Classification of Fluids:- 1. Liquid :- A Fluid that has a definite volume. 2. Gas :- It possesses no definite volume & is compressible. 3. Vapour :- It is a gas whose temperature and pressure are such that it is very near to the liquid state. (e.g. steam). 4. Ideal Fluid :- An ideal fluid is fluid which has no viscosity, surface tension and is incompressible. ( Ideal fluids don’t exists in nature.) 5. Real Fluid:- A real fluid is one which has viscosity, surface tension and compressibility along with density. ( All fluids existing in nature are real fluids.) Sanjivani College of Engineering, Kopargaon
  • 5. Fluid Mechanics:- Fluid Mechanics :- “ It is the branch of Engineering which deals with the behavior of fluid under the conditions of rest and motion.” Fluid Mechanics is divided into three parts. 1. Statics :- The study of incompressible fluids under static condition is called Fluid Statics. 2. Kinematics :- It deals study of fluid with velocity, acceleration and the patterns of flow. 3. Dynamics :- It deals with the relations between velocities, accelerations of fluid with the forces causing them. Sanjivani College of Engineering, Kopargaon
  • 6. Fluid Properties :- 1. Density :- Density is simply mass per unit volume at standard temperature & pressure.  = m V(It varies slightly with temperature and pressure.) The S.I. unit for density is the kg / m 3. Density is the measure of the “compactness” of a material Sanjivani College of Engineering, Kopargaon
  • 7. 2. Weight Density :- It is defined as the weight per unit volume at standard temperature & pressure. ω = ϱ . g The S.I. unit for density is the kN / m 3. The Specific weight of Water is ω = 9.81 kN / m 3 Sanjivani College of Engineering, Kopargaon
  • 8. 2. Specific Gravity :- Specific gravity is the ratio of the specific weight of the liquid to the specific weight of a standard fluid. Specific Weight = (Sp Wt of Liquid/Sp Wt of pure water) It is dimensionless & has no unit. For Liquids, the standard fluid is pure water at 4° C. Sanjivani College of Engineering, Kopargaon
  • 9. Viscosity:- “Viscosity is the resistance that a fluid offers to flow when subject to a shear” In an ideal liquid there would be no viscosity, as there would be no forces acting between layers of a fluid In reality, fluid layers interact through “frictional” forces. Each layer of fluid will drag the next layer to some extent Force Ideal Fluid Real Fluid Sanjivani College of Engineering, Kopargaon
  • 10. Newton’s Law of Viscosity:- F- Force “This law states that the shear stress on a Fluid Element layer is directly proportional to the rate of Shear strain”. The constant of proportionality is called co-efficient of viscosity. Sir Isaac Newton( 1642 – 1727) Sanjivani College of Engineering, Kopargaon
  • 11. Describing Viscosity : (fluid is still at lower surface) (Fastest moving layer of fluid) Velocity gradient at y1: g = (shear rate) du dy Sanjivani College of Engineering, Kopargaon
  • 12. Newton’s Law:- Area A Force Shear Stress: t = F/A Shear stress is the force delivered parallel to an area of the fluid surface Shear stress and shear rate are related by the proportionality constant h (known as the viscosity) dy du   Sanjivani College of Engineering, Kopargaon
  • 13. Vapour Pressure:-  Consider a liquid contained in a closed vessel, the vapour molecules gets accumulated in the space between the free surface & the top of vessel.  This accumulated vapour of the liquid exerts a partial pressure on the liquid surface is known as vapour pressure.  Mercury has very low vapour pressure (0.173 N/m²) and high density (13000 kg/m³) Vapour Pressure = F A Sanjivani College of Engineering, Kopargaon
  • 14. Surface Tension:  Surface tension is caused by the force of cohesion & adhesion.  Cohesion:- Cohesion means intermolecular attraction between molecules of the same liquid. • Adhesion:- • Adhesion means attraction between the molecules of a liquid & the molecules of a solid boundary surface in contact with the liquid. • Surface tension is expressed in N/m. Sanjivani College of Engineering, Kopargaon
  • 15. Cohesion:- Sanjivani College of Engineering, Kopargaon
  • 16. Surface Tension:- Cohesion Adhesion Sanjivani College of Engineering, Kopargaon
  • 17. Pascal’s Law:-  Pascal's Law-- It states that pressure at any point in a body of fluid is the same in every direction, exerting equal force on equal areas.  This is applicable for gases and liquids (both are fluids). Sanjivani College of Engineering, Kopargaon