ºÝºÝߣ

ºÝºÝߣShare a Scribd company logo
FLUID MECHANICS
BOUNDARY LAYER THEORY
LECTURE-03
CONTENTS:-
 Momentum Integral Equation (Von Karman Momentum Integral
Equation)
PROF. SANJEEV GUPTA
Von Karman Momentum Integral Equation
According to the continuity equation for a steady incompressible fluid flow
Mass rate of flow entering AD + Mass rate of flow entering DC
= Mass Rate of flow leaving BC
Mass rate of flow entering DC
= Mass Rate of flow leaving BC - Mass rate of flow entering AD
Or
Boundary layer theory 3
Now let us calculate momentum flux through CV
Rate of change of momentum of the CV = Momentum flux through BC - Momentum
flux through AD - Momentum flux through DC
Boundary layer theory 3
Boundary layer theory 3
Boundary layer theory 3
Boundary layer theory 3
THANK YOU!!
STAY AT HOME BE SAFE

More Related Content

What's hot (20)

Flow through pipes
Flow through pipesFlow through pipes
Flow through pipes
Chirag Bhanagale
Ìý
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theory
Manthan Chavda
Ìý
Laminar Flow.pptx
Laminar Flow.pptxLaminar Flow.pptx
Laminar Flow.pptx
vinukorekar
Ìý
Separation of boundary layer
Separation of boundary layerSeparation of boundary layer
Separation of boundary layer
Karan Patel
Ìý
Fluid mechanics notes
Fluid mechanics notesFluid mechanics notes
Fluid mechanics notes
shone john
Ìý
Fluid Kinematics
Fluid KinematicsFluid Kinematics
Fluid Kinematics
Malla Reddy University
Ìý
open channel flow
open channel flowopen channel flow
open channel flow
GeoRuizO
Ìý
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
Rajibul Alam
Ìý
Flow through pipes ppt
Flow through pipes pptFlow through pipes ppt
Flow through pipes ppt
Vishal Chaudhari
Ìý
Kinematics of fluid flow & it’s application.
Kinematics of fluid flow & it’s application.Kinematics of fluid flow & it’s application.
Kinematics of fluid flow & it’s application.
NIKHIL PAKWANNE
Ìý
Fluid dynamic
Fluid dynamicFluid dynamic
Fluid dynamic
Mohsin Siddique
Ìý
Chapter four fluid mechanics
Chapter four fluid mechanicsChapter four fluid mechanics
Chapter four fluid mechanics
abrish shewa
Ìý
Principal stresses and strains (Mos)
Principal stresses and strains (Mos)Principal stresses and strains (Mos)
Principal stresses and strains (Mos)
Bhavik Patel
Ìý
Fluid properties
Fluid propertiesFluid properties
Fluid properties
Ashish Khudaiwala
Ìý
A Seminar Topic On Boundary Layer
A Seminar Topic On Boundary LayerA Seminar Topic On Boundary Layer
A Seminar Topic On Boundary Layer
RAJKUMAR PATRA
Ìý
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theory
SanmitaVarma
Ìý
Compressible Fluid
Compressible FluidCompressible Fluid
Compressible Fluid
Dhaval Jalalpara
Ìý
Fluid mechanics-ppt
Fluid mechanics-pptFluid mechanics-ppt
Fluid mechanics-ppt
Anil Rout
Ìý
Momentum equation.pdf
 Momentum equation.pdf Momentum equation.pdf
Momentum equation.pdf
Dr. Ezzat Elsayed Gomaa
Ìý
Darcy weisbach formula
Darcy weisbach formulaDarcy weisbach formula
Darcy weisbach formula
Harkat Bouaddi
Ìý
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theory
Manthan Chavda
Ìý
Laminar Flow.pptx
Laminar Flow.pptxLaminar Flow.pptx
Laminar Flow.pptx
vinukorekar
Ìý
Separation of boundary layer
Separation of boundary layerSeparation of boundary layer
Separation of boundary layer
Karan Patel
Ìý
Fluid mechanics notes
Fluid mechanics notesFluid mechanics notes
Fluid mechanics notes
shone john
Ìý
open channel flow
open channel flowopen channel flow
open channel flow
GeoRuizO
Ìý
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
A STUDY ON VISCOUS FLOW (With A Special Focus On Boundary Layer And Its Effects)
Rajibul Alam
Ìý
Flow through pipes ppt
Flow through pipes pptFlow through pipes ppt
Flow through pipes ppt
Vishal Chaudhari
Ìý
Kinematics of fluid flow & it’s application.
Kinematics of fluid flow & it’s application.Kinematics of fluid flow & it’s application.
Kinematics of fluid flow & it’s application.
NIKHIL PAKWANNE
Ìý
Chapter four fluid mechanics
Chapter four fluid mechanicsChapter four fluid mechanics
Chapter four fluid mechanics
abrish shewa
Ìý
Principal stresses and strains (Mos)
Principal stresses and strains (Mos)Principal stresses and strains (Mos)
Principal stresses and strains (Mos)
Bhavik Patel
Ìý
A Seminar Topic On Boundary Layer
A Seminar Topic On Boundary LayerA Seminar Topic On Boundary Layer
A Seminar Topic On Boundary Layer
RAJKUMAR PATRA
Ìý
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theory
SanmitaVarma
Ìý
Fluid mechanics-ppt
Fluid mechanics-pptFluid mechanics-ppt
Fluid mechanics-ppt
Anil Rout
Ìý
Darcy weisbach formula
Darcy weisbach formulaDarcy weisbach formula
Darcy weisbach formula
Harkat Bouaddi
Ìý

Recently uploaded (20)

Von karman Equation full derivation .pdf
Von karman Equation full derivation  .pdfVon karman Equation full derivation  .pdf
Von karman Equation full derivation .pdf
Er. Gurmeet Singh
Ìý
AO Star Algorithm in Artificial Intellligence
AO Star Algorithm in Artificial IntellligenceAO Star Algorithm in Artificial Intellligence
AO Star Algorithm in Artificial Intellligence
vipulkondekar
Ìý
TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...
TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...
TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...
samueljackson3773
Ìý
Dijkstra Shortest Path Algorithm in Network.ppt
Dijkstra Shortest Path Algorithm in Network.pptDijkstra Shortest Path Algorithm in Network.ppt
Dijkstra Shortest Path Algorithm in Network.ppt
RAJASEKARAN G
Ìý
Wireless-Charger presentation for seminar .pdf
Wireless-Charger presentation for seminar .pdfWireless-Charger presentation for seminar .pdf
Wireless-Charger presentation for seminar .pdf
AbhinandanMishra30
Ìý
Soil Properties and Methods of Determination
Soil Properties and  Methods of DeterminationSoil Properties and  Methods of Determination
Soil Properties and Methods of Determination
Rajani Vyawahare
Ìý
GREEN BULIDING PPT FOR THE REFRENACE.PPT
GREEN BULIDING PPT FOR THE REFRENACE.PPTGREEN BULIDING PPT FOR THE REFRENACE.PPT
GREEN BULIDING PPT FOR THE REFRENACE.PPT
kamalkeerthan61
Ìý
Instruction execution cycle _
Instruction execution cycle                  _Instruction execution cycle                  _
Instruction execution cycle _
SwatiHans10
Ìý
Design of cannal by Kennedy Theory full problem solved
Design of cannal by Kennedy Theory full problem solvedDesign of cannal by Kennedy Theory full problem solved
Design of cannal by Kennedy Theory full problem solved
Er. Gurmeet Singh
Ìý
The Golden Gate Bridge a structural marvel inspired by mother nature.pptx
The Golden Gate Bridge a structural marvel inspired by mother nature.pptxThe Golden Gate Bridge a structural marvel inspired by mother nature.pptx
The Golden Gate Bridge a structural marvel inspired by mother nature.pptx
AkankshaRawat75
Ìý
Data recovery and Digital evidence controls in digital frensics.pdf
Data recovery and Digital evidence controls in digital frensics.pdfData recovery and Digital evidence controls in digital frensics.pdf
Data recovery and Digital evidence controls in digital frensics.pdf
Abhijit Bodhe
Ìý
Failover System in Cloud Computing System
Failover System in Cloud Computing SystemFailover System in Cloud Computing System
Failover System in Cloud Computing System
Hitesh Mohapatra
Ìý
Taykon-Kalite belgeleri
Taykon-Kalite belgeleriTaykon-Kalite belgeleri
Taykon-Kalite belgeleri
TAYKON
Ìý
GE 6B GT Ratcheting Animation- Hemananda Chinara.ppsx
GE 6B GT Ratcheting Animation- Hemananda Chinara.ppsxGE 6B GT Ratcheting Animation- Hemananda Chinara.ppsx
GE 6B GT Ratcheting Animation- Hemananda Chinara.ppsx
Hemananda Chinara
Ìý
Biases, our brain and software development
Biases, our brain and software developmentBiases, our brain and software development
Biases, our brain and software development
Matias Iacono
Ìý
AI-Powered Power Converter Design Workflow.pdf
AI-Powered Power Converter Design Workflow.pdfAI-Powered Power Converter Design Workflow.pdf
AI-Powered Power Converter Design Workflow.pdf
Aleksandr Terlo
Ìý
-PPT-5-Wind-Energy conversion slides contents
-PPT-5-Wind-Energy conversion   slides contents-PPT-5-Wind-Energy conversion   slides contents
-PPT-5-Wind-Energy conversion slides contents
senthilkumarmamse
Ìý
direct current machine first part about machine.pdf
direct current machine first part about machine.pdfdirect current machine first part about machine.pdf
direct current machine first part about machine.pdf
sahilshah890338
Ìý
Helium Boosting & Decanting With Hydro Test Machine
Helium Boosting & Decanting With Hydro Test MachineHelium Boosting & Decanting With Hydro Test Machine
Helium Boosting & Decanting With Hydro Test Machine
Paskals Fluid Systems Pvt. Ltd.
Ìý
Practice Head Torpedo - Neometrix Defence.pptx
Practice Head Torpedo - Neometrix Defence.pptxPractice Head Torpedo - Neometrix Defence.pptx
Practice Head Torpedo - Neometrix Defence.pptx
Neometrix_Engineering_Pvt_Ltd
Ìý
Von karman Equation full derivation .pdf
Von karman Equation full derivation  .pdfVon karman Equation full derivation  .pdf
Von karman Equation full derivation .pdf
Er. Gurmeet Singh
Ìý
AO Star Algorithm in Artificial Intellligence
AO Star Algorithm in Artificial IntellligenceAO Star Algorithm in Artificial Intellligence
AO Star Algorithm in Artificial Intellligence
vipulkondekar
Ìý
TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...
TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...
TASK-DECOMPOSITION BASED ANOMALY DETECTION OF MASSIVE AND HIGH-VOLATILITY SES...
samueljackson3773
Ìý
Dijkstra Shortest Path Algorithm in Network.ppt
Dijkstra Shortest Path Algorithm in Network.pptDijkstra Shortest Path Algorithm in Network.ppt
Dijkstra Shortest Path Algorithm in Network.ppt
RAJASEKARAN G
Ìý
Wireless-Charger presentation for seminar .pdf
Wireless-Charger presentation for seminar .pdfWireless-Charger presentation for seminar .pdf
Wireless-Charger presentation for seminar .pdf
AbhinandanMishra30
Ìý
Soil Properties and Methods of Determination
Soil Properties and  Methods of DeterminationSoil Properties and  Methods of Determination
Soil Properties and Methods of Determination
Rajani Vyawahare
Ìý
GREEN BULIDING PPT FOR THE REFRENACE.PPT
GREEN BULIDING PPT FOR THE REFRENACE.PPTGREEN BULIDING PPT FOR THE REFRENACE.PPT
GREEN BULIDING PPT FOR THE REFRENACE.PPT
kamalkeerthan61
Ìý
Instruction execution cycle _
Instruction execution cycle                  _Instruction execution cycle                  _
Instruction execution cycle _
SwatiHans10
Ìý
Design of cannal by Kennedy Theory full problem solved
Design of cannal by Kennedy Theory full problem solvedDesign of cannal by Kennedy Theory full problem solved
Design of cannal by Kennedy Theory full problem solved
Er. Gurmeet Singh
Ìý
The Golden Gate Bridge a structural marvel inspired by mother nature.pptx
The Golden Gate Bridge a structural marvel inspired by mother nature.pptxThe Golden Gate Bridge a structural marvel inspired by mother nature.pptx
The Golden Gate Bridge a structural marvel inspired by mother nature.pptx
AkankshaRawat75
Ìý
Data recovery and Digital evidence controls in digital frensics.pdf
Data recovery and Digital evidence controls in digital frensics.pdfData recovery and Digital evidence controls in digital frensics.pdf
Data recovery and Digital evidence controls in digital frensics.pdf
Abhijit Bodhe
Ìý
Failover System in Cloud Computing System
Failover System in Cloud Computing SystemFailover System in Cloud Computing System
Failover System in Cloud Computing System
Hitesh Mohapatra
Ìý
Taykon-Kalite belgeleri
Taykon-Kalite belgeleriTaykon-Kalite belgeleri
Taykon-Kalite belgeleri
TAYKON
Ìý
GE 6B GT Ratcheting Animation- Hemananda Chinara.ppsx
GE 6B GT Ratcheting Animation- Hemananda Chinara.ppsxGE 6B GT Ratcheting Animation- Hemananda Chinara.ppsx
GE 6B GT Ratcheting Animation- Hemananda Chinara.ppsx
Hemananda Chinara
Ìý
Biases, our brain and software development
Biases, our brain and software developmentBiases, our brain and software development
Biases, our brain and software development
Matias Iacono
Ìý
AI-Powered Power Converter Design Workflow.pdf
AI-Powered Power Converter Design Workflow.pdfAI-Powered Power Converter Design Workflow.pdf
AI-Powered Power Converter Design Workflow.pdf
Aleksandr Terlo
Ìý
-PPT-5-Wind-Energy conversion slides contents
-PPT-5-Wind-Energy conversion   slides contents-PPT-5-Wind-Energy conversion   slides contents
-PPT-5-Wind-Energy conversion slides contents
senthilkumarmamse
Ìý
direct current machine first part about machine.pdf
direct current machine first part about machine.pdfdirect current machine first part about machine.pdf
direct current machine first part about machine.pdf
sahilshah890338
Ìý
Helium Boosting & Decanting With Hydro Test Machine
Helium Boosting & Decanting With Hydro Test MachineHelium Boosting & Decanting With Hydro Test Machine
Helium Boosting & Decanting With Hydro Test Machine
Paskals Fluid Systems Pvt. Ltd.
Ìý
Practice Head Torpedo - Neometrix Defence.pptx
Practice Head Torpedo - Neometrix Defence.pptxPractice Head Torpedo - Neometrix Defence.pptx
Practice Head Torpedo - Neometrix Defence.pptx
Neometrix_Engineering_Pvt_Ltd
Ìý

Boundary layer theory 3

  • 1. FLUID MECHANICS BOUNDARY LAYER THEORY LECTURE-03 CONTENTS:-  Momentum Integral Equation (Von Karman Momentum Integral Equation) PROF. SANJEEV GUPTA
  • 2. Von Karman Momentum Integral Equation
  • 3. According to the continuity equation for a steady incompressible fluid flow Mass rate of flow entering AD + Mass rate of flow entering DC = Mass Rate of flow leaving BC Mass rate of flow entering DC = Mass Rate of flow leaving BC - Mass rate of flow entering AD Or
  • 5. Now let us calculate momentum flux through CV
  • 6. Rate of change of momentum of the CV = Momentum flux through BC - Momentum flux through AD - Momentum flux through DC
  • 11. THANK YOU!! STAY AT HOME BE SAFE