SlideShare a Scribd company logo
1 of 9
FLUID MECHANICS
BOUNDARY LAYER THEORY
LECTURE-02
CONTENTS:-
Numerical Related to
 Displacement Thickness (δ*)
 Momentum Thickness and (θ)
 Energy Thickness (δ**)
 Shape Factor (H)
PROF. SANJEEV GUPTA
USEFUL FORMULAS
1. Displacement Thickness (δ*)
2. Momentum Thickness and (θ)
3. Energy Thickness (δ**)
4. Shape Factor(H)
H =
Q.1 Find the displacement thickness, momentum thickness and energy thickness for the
velocity distribution in the boundary layer given by
𝒖
𝑼
=
𝒚
𝜹
Where u is the velocity at a distance y from the plate and u = U at y = δ where δ =
boundary layer thickness, also calculate the value of
𝛅∗
𝜽
………..1
ASSIGNMENT
Find the displacement thickness, the momentum thickness and energy thickness for the
velocity distribution in the boundary layer given by
NEXT LECTURE ON –
MOMENTUM INTEGRAL EQUATION
THANK YOU!!
STAY AT HOME BE SAFE

More Related Content

What's hot

Level set method for droplet simulation
Level set method for droplet simulationLevel set method for droplet simulation
Level set method for droplet simulation
Jongsu "Liam" Kim
 
Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...
Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...
Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...
Rachel McAdams
 
Shear & torsion
Shear & torsionShear & torsion
Shear & torsion
aero103
 

What's hot (19)

17. seepage through anisotropic soil
17. seepage through anisotropic soil17. seepage through anisotropic soil
17. seepage through anisotropic soil
 
techDynamic characteristics and stability of cylindrical textured journal bea...
techDynamic characteristics and stability of cylindrical textured journal bea...techDynamic characteristics and stability of cylindrical textured journal bea...
techDynamic characteristics and stability of cylindrical textured journal bea...
 
NFFSdigestpaper
NFFSdigestpaperNFFSdigestpaper
NFFSdigestpaper
 
Utility maximisation and regret minimisation - a mixture of a generalisation
Utility maximisation and regret minimisation - a mixture of a generalisationUtility maximisation and regret minimisation - a mixture of a generalisation
Utility maximisation and regret minimisation - a mixture of a generalisation
 
Level Set Method
Level Set MethodLevel Set Method
Level Set Method
 
Thick cylinders
Thick cylindersThick cylinders
Thick cylinders
 
Level set method for droplet simulation
Level set method for droplet simulationLevel set method for droplet simulation
Level set method for droplet simulation
 
Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...
Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...
Resistive wall mode and neoclassical tearing mode coupling in rotating tokama...
 
Max gravity asteroid
Max gravity asteroidMax gravity asteroid
Max gravity asteroid
 
Preliminary design of column
Preliminary design of columnPreliminary design of column
Preliminary design of column
 
ctr_tessicini
ctr_tessicinictr_tessicini
ctr_tessicini
 
Ugntitled(2)
Ugntitled(2)Ugntitled(2)
Ugntitled(2)
 
Asymptotic analysis
Asymptotic analysisAsymptotic analysis
Asymptotic analysis
 
Examples on stress distribution
Examples on stress distributionExamples on stress distribution
Examples on stress distribution
 
Principal stress
Principal stressPrincipal stress
Principal stress
 
Shear & torsion
Shear & torsionShear & torsion
Shear & torsion
 
ASC
ASCASC
ASC
 
Plank on a log
Plank on a logPlank on a log
Plank on a log
 
Vibration advance longi and trans equation.
Vibration advance   longi and trans equation.Vibration advance   longi and trans equation.
Vibration advance longi and trans equation.
 

Similar to Boundary layer theory 2

Design alternative revetments pilarczyk2008+
Design alternative revetments pilarczyk2008+Design alternative revetments pilarczyk2008+
Design alternative revetments pilarczyk2008+
Krystian Pilarczyk
 
Boundary layer equation
Boundary layer equationBoundary layer equation
Boundary layer equation
Justin Myint
 

Similar to Boundary layer theory 2 (13)

Design alternative revetments pilarczyk2008+
Design alternative revetments pilarczyk2008+Design alternative revetments pilarczyk2008+
Design alternative revetments pilarczyk2008+
 
Control of vibration through an innovative isolation
Control of vibration through an innovative isolationControl of vibration through an innovative isolation
Control of vibration through an innovative isolation
 
Control of vibration through an innovative isolation technique of a multistor...
Control of vibration through an innovative isolation technique of a multistor...Control of vibration through an innovative isolation technique of a multistor...
Control of vibration through an innovative isolation technique of a multistor...
 
Isostasy and Flexure Of Lithosphere: Estimation Of Effective Elastic Thickness
Isostasy and Flexure Of Lithosphere: Estimation Of Effective Elastic ThicknessIsostasy and Flexure Of Lithosphere: Estimation Of Effective Elastic Thickness
Isostasy and Flexure Of Lithosphere: Estimation Of Effective Elastic Thickness
 
Whats
WhatsWhats
Whats
 
Boundary layer equation
Boundary layer equationBoundary layer equation
Boundary layer equation
 
10 simple mathematical approach for granular fill
10  simple mathematical approach for granular fill 10  simple mathematical approach for granular fill
10 simple mathematical approach for granular fill
 
Boundary layer theory 4
Boundary layer theory 4Boundary layer theory 4
Boundary layer theory 4
 
Review of Analysis of Retaining Wall Under Static and Seismic Loading
Review of Analysis of Retaining Wall Under Static and Seismic LoadingReview of Analysis of Retaining Wall Under Static and Seismic Loading
Review of Analysis of Retaining Wall Under Static and Seismic Loading
 
Cambridge 2014 Complexity, tails and trends
Cambridge 2014  Complexity, tails and trendsCambridge 2014  Complexity, tails and trends
Cambridge 2014 Complexity, tails and trends
 
Bd4102397403
Bd4102397403Bd4102397403
Bd4102397403
 
011 (PPT) Boundary Layer Flow.pdf .
011 (PPT) Boundary Layer Flow.pdf          .011 (PPT) Boundary Layer Flow.pdf          .
011 (PPT) Boundary Layer Flow.pdf .
 
Deflection characteristics of cross ply laminates under different loading con...
Deflection characteristics of cross ply laminates under different loading con...Deflection characteristics of cross ply laminates under different loading con...
Deflection characteristics of cross ply laminates under different loading con...
 

Recently uploaded

一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
c3384a92eb32
 
一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样
一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样
一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样
A
 

Recently uploaded (20)

Presentation on Slab, Beam, Column, and Foundation/Footing
Presentation on Slab,  Beam, Column, and Foundation/FootingPresentation on Slab,  Beam, Column, and Foundation/Footing
Presentation on Slab, Beam, Column, and Foundation/Footing
 
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...
 
Databricks Generative AI Fundamentals .pdf
Databricks Generative AI Fundamentals  .pdfDatabricks Generative AI Fundamentals  .pdf
Databricks Generative AI Fundamentals .pdf
 
Developing a smart system for infant incubators using the internet of things ...
Developing a smart system for infant incubators using the internet of things ...Developing a smart system for infant incubators using the internet of things ...
Developing a smart system for infant incubators using the internet of things ...
 
analog-vs-digital-communication (concept of analog and digital).pptx
analog-vs-digital-communication (concept of analog and digital).pptxanalog-vs-digital-communication (concept of analog and digital).pptx
analog-vs-digital-communication (concept of analog and digital).pptx
 
CLOUD COMPUTING SERVICES - Cloud Reference Modal
CLOUD COMPUTING SERVICES - Cloud Reference ModalCLOUD COMPUTING SERVICES - Cloud Reference Modal
CLOUD COMPUTING SERVICES - Cloud Reference Modal
 
Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...
 
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
 
Working Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdfWorking Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdf
 
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
 
Theory of Time 2024 (Universal Theory for Everything)
Theory of Time 2024 (Universal Theory for Everything)Theory of Time 2024 (Universal Theory for Everything)
Theory of Time 2024 (Universal Theory for Everything)
 
Databricks Generative AI FoundationCertified.pdf
Databricks Generative AI FoundationCertified.pdfDatabricks Generative AI FoundationCertified.pdf
Databricks Generative AI FoundationCertified.pdf
 
一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样
一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样
一比一原版(NEU毕业证书)东北大学毕业证成绩单原件一模一样
 
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and ToolsMaximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
 
History of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & ModernizationHistory of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & Modernization
 
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
 
Passive Air Cooling System and Solar Water Heater.ppt
Passive Air Cooling System and Solar Water Heater.pptPassive Air Cooling System and Solar Water Heater.ppt
Passive Air Cooling System and Solar Water Heater.ppt
 
Path loss model, OKUMURA Model, Hata Model
Path loss model, OKUMURA Model, Hata ModelPath loss model, OKUMURA Model, Hata Model
Path loss model, OKUMURA Model, Hata Model
 
Autodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptxAutodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptx
 
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdfInvolute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
 

Boundary layer theory 2

  • 1. FLUID MECHANICS BOUNDARY LAYER THEORY LECTURE-02 CONTENTS:- Numerical Related to  Displacement Thickness (δ*)  Momentum Thickness and (θ)  Energy Thickness (δ**)  Shape Factor (H) PROF. SANJEEV GUPTA
  • 2. USEFUL FORMULAS 1. Displacement Thickness (δ*) 2. Momentum Thickness and (θ) 3. Energy Thickness (δ**) 4. Shape Factor(H) H =
  • 3. Q.1 Find the displacement thickness, momentum thickness and energy thickness for the velocity distribution in the boundary layer given by 𝒖 𝑼 = 𝒚 𝜹 Where u is the velocity at a distance y from the plate and u = U at y = δ where δ = boundary layer thickness, also calculate the value of 𝛅∗ 𝜽 ………..1
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. ASSIGNMENT Find the displacement thickness, the momentum thickness and energy thickness for the velocity distribution in the boundary layer given by
  • 9. NEXT LECTURE ON – MOMENTUM INTEGRAL EQUATION THANK YOU!! STAY AT HOME BE SAFE