SlideShare a Scribd company logo
1 of 15
BY- MOHIT MAYOOR KASHYAP
CUJ/I/2013/IWEM/007
INTRODUCTION
• Reynolds transport theorem is a theorem which is used to
relate statement of any physical law to a system to the
statement of that physical law to a control volume.
• Mathematically,
• Time rate of change of any extensive
property for a system = rate of change of
property within a control volume + net rate of
efflux of the property from the control volume
• N= property η = property/mass
• {DN/Dt}system = {δ/δt ∫ ∫ ∫ η ρdv }control volume +
{∫ ∫ η ρv.dA}control surface
IMPORTANT POINTS
• A particle is a differential concept of system.
• Any thing is defined with respect to system .
• Basic laws are first initiated with respect to system.
• But later on , it was much simplified by defining the basic
laws with respect to control volume.
• SYSTEM- some amount of mass and boundary.
• Mass and boundary are the important characteristics of
the system.
surroundingMass system
boundary
SYSTEM
CONTROL MASS SYSTEM
OR CLOSED SYSTEM OR
SYSTEM
CONTROL
VOLUME
SYSTEM
OR OPEN
SYSTEM
ISOLATED
SYSTEM
CONTROL MASS SYSTEM
• Mass transfer is not allowed.
• So identity remains constant
• Boundary may contract or expand as energy transfer is
allowed, so the boundary is flexible.
M closed
No mass
transfer
CONTROL VOLUME SYSTEM
• Also known as open system.
• In this kind of system mass and energy transfer both take
place , so identity is lost.
• Boundary is rigid.
ISOLATED SYSTEM
• No mass transfer and no energy transfer.
• It is isolated from the surrounding.
• Let us take an example of conservation of mass in fluid flow.
• e.g. for system :-{ dm/dt = 0 } rate of change of
mass within a system is zero i.e. mass remains
constant inside the system.
• For control volume- continuity equation states
that the net rate of increase in mass in the
control volume + net rate of mass efflux from
the control volume = 0
CONTINUITY EQUATION FOR
CONTROL VOLUME
• δρ/δt +δ(ρu)/δx + δ(ρv)/δy + δ(ρw)/δz = 0
• DIFFERENTIAL FORM
• δρ/δt + ∇. (ρV)
Where ∇ = i δ/ δx + j δ/ δy + k δ/ δz
V= iu + jv + kw
• CONTINUITY EQUATION IN
INTEGRAL FORM
• Net rate of mass efflux from c.v. = ∫ ∫ A ρV.ndA
• Net rate of increase of mass in cv = ∫ ∫ ∫v ρdv
CONTROL
VOLUME
dA
RTT APPLICATION
• CONSERVATION OF MASS
• Let N= mass= m Dm/Dt=0 {wrt system}
• η=1 {N/mass}
• Dm/Dt= δ/ δt∫ ∫ ∫cv ρdv + ∫ ∫ cs Ρv. dA
0
• CUJ/I/2103/IWEM/007
• THANKS

More Related Content

What's hot

Boundary layer equation
Boundary layer equationBoundary layer equation
Boundary layer equationJustin Myint
 
Fluid Mechanics Chapter 5. Dimensional Analysis and Similitude
Fluid Mechanics Chapter 5. Dimensional Analysis and SimilitudeFluid Mechanics Chapter 5. Dimensional Analysis and Similitude
Fluid Mechanics Chapter 5. Dimensional Analysis and SimilitudeAddisu Dagne Zegeye
 
Equation of continuity
Equation of continuityEquation of continuity
Equation of continuitysahbg
 
Transport phenomena (Continuity Equation)
Transport phenomena (Continuity Equation)Transport phenomena (Continuity Equation)
Transport phenomena (Continuity Equation)Mujeeb UR Rahman
 
Fm gtu hydrostatics static forces on surface ppt
Fm gtu hydrostatics static forces on surface pptFm gtu hydrostatics static forces on surface ppt
Fm gtu hydrostatics static forces on surface pptHarekrishna Jariwala
 
Boundary Layer Displacement Thickness & Momentum Thickness
Boundary Layer Displacement Thickness & Momentum ThicknessBoundary Layer Displacement Thickness & Momentum Thickness
Boundary Layer Displacement Thickness & Momentum ThicknessHaroon Rashid
 
Hydrostatics 160311202946
Hydrostatics 160311202946Hydrostatics 160311202946
Hydrostatics 160311202946PRABIR DATTA
 
Types of flow in fluid mechanics
Types of flow in fluid mechanicsTypes of flow in fluid mechanics
Types of flow in fluid mechanicsAmit Mak
 
losses in pipe flow
losses in pipe flowlosses in pipe flow
losses in pipe flowKaran Patel
 
Bernoulli’s equation
Bernoulli’s equationBernoulli’s equation
Bernoulli’s equationSajjad Ahmad
 
Newtons law of viscosity
Newtons law of viscosityNewtons law of viscosity
Newtons law of viscosityknowledge1995
 
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theorySanmitaVarma
 
Turbulent flows and equations
Turbulent flows and equationsTurbulent flows and equations
Turbulent flows and equationsOm Prakash Singh
 
Flow In Pipes
Flow In PipesFlow In Pipes
Flow In PipesIla Lee
 

What's hot (20)

Boundary layer equation
Boundary layer equationBoundary layer equation
Boundary layer equation
 
Fluid Mechanics Chapter 5. Dimensional Analysis and Similitude
Fluid Mechanics Chapter 5. Dimensional Analysis and SimilitudeFluid Mechanics Chapter 5. Dimensional Analysis and Similitude
Fluid Mechanics Chapter 5. Dimensional Analysis and Similitude
 
Equation of continuity
Equation of continuityEquation of continuity
Equation of continuity
 
Transport phenomena (Continuity Equation)
Transport phenomena (Continuity Equation)Transport phenomena (Continuity Equation)
Transport phenomena (Continuity Equation)
 
Fm gtu hydrostatics static forces on surface ppt
Fm gtu hydrostatics static forces on surface pptFm gtu hydrostatics static forces on surface ppt
Fm gtu hydrostatics static forces on surface ppt
 
Boundary layer
Boundary layerBoundary layer
Boundary layer
 
Boundary Layer Displacement Thickness & Momentum Thickness
Boundary Layer Displacement Thickness & Momentum ThicknessBoundary Layer Displacement Thickness & Momentum Thickness
Boundary Layer Displacement Thickness & Momentum Thickness
 
Hydrostatics 160311202946
Hydrostatics 160311202946Hydrostatics 160311202946
Hydrostatics 160311202946
 
Couette flow
Couette flowCouette flow
Couette flow
 
Fluid mechanics
Fluid mechanics Fluid mechanics
Fluid mechanics
 
Types of flow in fluid mechanics
Types of flow in fluid mechanicsTypes of flow in fluid mechanics
Types of flow in fluid mechanics
 
losses in pipe flow
losses in pipe flowlosses in pipe flow
losses in pipe flow
 
Bernoulli’s equation
Bernoulli’s equationBernoulli’s equation
Bernoulli’s equation
 
Heat transfer
Heat transferHeat transfer
Heat transfer
 
Newtons law of viscosity
Newtons law of viscosityNewtons law of viscosity
Newtons law of viscosity
 
Boundary layer theory
Boundary layer theoryBoundary layer theory
Boundary layer theory
 
Turbulent flows and equations
Turbulent flows and equationsTurbulent flows and equations
Turbulent flows and equations
 
Flow In Pipes
Flow In PipesFlow In Pipes
Flow In Pipes
 
Concept of Boundary Layer
Concept of Boundary LayerConcept of Boundary Layer
Concept of Boundary Layer
 
Eulers equation
Eulers equationEulers equation
Eulers equation
 

Viewers also liked

Active role of plants in hydrologic processes
Active role of plants in hydrologic processesActive role of plants in hydrologic processes
Active role of plants in hydrologic processesMOHIT MAYOOR
 
Stream flow measurement
Stream flow measurementStream flow measurement
Stream flow measurementMOHIT MAYOOR
 
Mechanistic models
Mechanistic modelsMechanistic models
Mechanistic modelsMOHIT MAYOOR
 
Navier stokes equation
Navier stokes equationNavier stokes equation
Navier stokes equationnaveensapare
 
Fundamental concepts of fluid mechanics
Fundamental concepts of fluid mechanicsFundamental concepts of fluid mechanics
Fundamental concepts of fluid mechanicsVishu Sharma
 
Soil water plant relationship
Soil water  plant relationshipSoil water  plant relationship
Soil water plant relationshipMOHIT MAYOOR
 
Applications of fluid mechanics
Applications of fluid mechanicsApplications of fluid mechanics
Applications of fluid mechanicsVishu Sharma
 
Chapter 1-Introduction fluids Mechanics
Chapter 1-Introduction fluids MechanicsChapter 1-Introduction fluids Mechanics
Chapter 1-Introduction fluids MechanicsHaslinda Mohammad
 
Fluid mechanics lectur notes
Fluid mechanics lectur notesFluid mechanics lectur notes
Fluid mechanics lectur notesisminci
 
Heart Slides
Heart SlidesHeart Slides
Heart SlidesSatnam
 
Basic differential equations in fluid mechanics
Basic differential equations in fluid mechanicsBasic differential equations in fluid mechanics
Basic differential equations in fluid mechanicsTarun Gehlot
 

Viewers also liked (20)

Active role of plants in hydrologic processes
Active role of plants in hydrologic processesActive role of plants in hydrologic processes
Active role of plants in hydrologic processes
 
Stream flow measurement
Stream flow measurementStream flow measurement
Stream flow measurement
 
Mechanistic models
Mechanistic modelsMechanistic models
Mechanistic models
 
Navier stokes equation
Navier stokes equationNavier stokes equation
Navier stokes equation
 
Rating curve design,practice and problems
Rating curve design,practice and problemsRating curve design,practice and problems
Rating curve design,practice and problems
 
River training works lecture
River training works lectureRiver training works lecture
River training works lecture
 
Fundamental concepts of fluid mechanics
Fundamental concepts of fluid mechanicsFundamental concepts of fluid mechanics
Fundamental concepts of fluid mechanics
 
MOHAN PPT
MOHAN PPTMOHAN PPT
MOHAN PPT
 
Soil water plant relationship
Soil water  plant relationshipSoil water  plant relationship
Soil water plant relationship
 
Stream flow
Stream flow Stream flow
Stream flow
 
River engineering
River engineeringRiver engineering
River engineering
 
Applications of fluid mechanics
Applications of fluid mechanicsApplications of fluid mechanics
Applications of fluid mechanics
 
Chapter 1-Introduction fluids Mechanics
Chapter 1-Introduction fluids MechanicsChapter 1-Introduction fluids Mechanics
Chapter 1-Introduction fluids Mechanics
 
Fluid mechanics
Fluid mechanicsFluid mechanics
Fluid mechanics
 
Flow measurement pdf
Flow measurement pdfFlow measurement pdf
Flow measurement pdf
 
Soil Water Plant Relationships
Soil Water Plant RelationshipsSoil Water Plant Relationships
Soil Water Plant Relationships
 
Fluid mechanics
Fluid mechanicsFluid mechanics
Fluid mechanics
 
Fluid mechanics lectur notes
Fluid mechanics lectur notesFluid mechanics lectur notes
Fluid mechanics lectur notes
 
Heart Slides
Heart SlidesHeart Slides
Heart Slides
 
Basic differential equations in fluid mechanics
Basic differential equations in fluid mechanicsBasic differential equations in fluid mechanics
Basic differential equations in fluid mechanics
 

Similar to Reynolds transport theorem

thermodynamics introduction & first law
thermodynamics introduction & first lawthermodynamics introduction & first law
thermodynamics introduction & first lawAshish Mishra
 
1konsep-dasar-termodinamika.ppt
1konsep-dasar-termodinamika.ppt1konsep-dasar-termodinamika.ppt
1konsep-dasar-termodinamika.pptNadhifahAlIndis1
 
GATE Coaching Classes in Chandigarh
GATE Coaching Classes in ChandigarhGATE Coaching Classes in Chandigarh
GATE Coaching Classes in ChandigarhEduGaps Chandigarh
 
Basis review of thermodynamics_Aircraft Propulsion
Basis review of thermodynamics_Aircraft PropulsionBasis review of thermodynamics_Aircraft Propulsion
Basis review of thermodynamics_Aircraft PropulsionSuthan Rajendran
 
Thermodynamics basics
Thermodynamics basicsThermodynamics basics
Thermodynamics basicsarunkappen3
 
Introduction and first law of tehrmodynamics
Introduction and first law of tehrmodynamicsIntroduction and first law of tehrmodynamics
Introduction and first law of tehrmodynamicsHEENAKATARIYA1
 
02 Mathematical Modelling.pptx
02 Mathematical Modelling.pptx02 Mathematical Modelling.pptx
02 Mathematical Modelling.pptxSaadAli105813
 
Chapter 5 fluid mechanics
Chapter 5 fluid mechanicsChapter 5 fluid mechanics
Chapter 5 fluid mechanicsabrish shewa
 
First law of thermodynamics, temperature scales
First law of thermodynamics, temperature scalesFirst law of thermodynamics, temperature scales
First law of thermodynamics, temperature scalessravanthi chandanala
 
Gas Dynamics, Lecture 1.pptx
Gas Dynamics, Lecture 1.pptxGas Dynamics, Lecture 1.pptx
Gas Dynamics, Lecture 1.pptxNamLe218588
 
Basics of Thermodynamics with problems
Basics of Thermodynamics with problemsBasics of Thermodynamics with problems
Basics of Thermodynamics with problemsSATISHINDUPURI
 
ppt-4 First Law of Thermodynamics.pptx
ppt-4 First Law of Thermodynamics.pptxppt-4 First Law of Thermodynamics.pptx
ppt-4 First Law of Thermodynamics.pptxLalithaP20
 
The first law of thermodynamics.ppt
The first law of thermodynamics.pptThe first law of thermodynamics.ppt
The first law of thermodynamics.pptDave376110
 
MET 211 Module 2 introduction_to_thermodynamics
MET 211 Module 2 introduction_to_thermodynamicsMET 211 Module 2 introduction_to_thermodynamics
MET 211 Module 2 introduction_to_thermodynamicsIbrahim AboKhalil
 
Reversible and Irreversible process.pptx
Reversible and Irreversible process.pptxReversible and Irreversible process.pptx
Reversible and Irreversible process.pptxNovaluise
 

Similar to Reynolds transport theorem (20)

Thermo lecture no.2
Thermo lecture no.2Thermo lecture no.2
Thermo lecture no.2
 
Basic concepts
Basic conceptsBasic concepts
Basic concepts
 
thermodynamics introduction & first law
thermodynamics introduction & first lawthermodynamics introduction & first law
thermodynamics introduction & first law
 
1konsep-dasar-termodinamika.ppt
1konsep-dasar-termodinamika.ppt1konsep-dasar-termodinamika.ppt
1konsep-dasar-termodinamika.ppt
 
GATE Coaching Classes in Chandigarh
GATE Coaching Classes in ChandigarhGATE Coaching Classes in Chandigarh
GATE Coaching Classes in Chandigarh
 
Basis review of thermodynamics_Aircraft Propulsion
Basis review of thermodynamics_Aircraft PropulsionBasis review of thermodynamics_Aircraft Propulsion
Basis review of thermodynamics_Aircraft Propulsion
 
Thermodynamics basics
Thermodynamics basicsThermodynamics basics
Thermodynamics basics
 
Introduction and first law of tehrmodynamics
Introduction and first law of tehrmodynamicsIntroduction and first law of tehrmodynamics
Introduction and first law of tehrmodynamics
 
fluid mechanics
fluid mechanicsfluid mechanics
fluid mechanics
 
02 Mathematical Modelling.pptx
02 Mathematical Modelling.pptx02 Mathematical Modelling.pptx
02 Mathematical Modelling.pptx
 
Chapter 5 fluid mechanics
Chapter 5 fluid mechanicsChapter 5 fluid mechanics
Chapter 5 fluid mechanics
 
Thermodynamic
ThermodynamicThermodynamic
Thermodynamic
 
First law of thermodynamics, temperature scales
First law of thermodynamics, temperature scalesFirst law of thermodynamics, temperature scales
First law of thermodynamics, temperature scales
 
Gas Dynamics, Lecture 1.pptx
Gas Dynamics, Lecture 1.pptxGas Dynamics, Lecture 1.pptx
Gas Dynamics, Lecture 1.pptx
 
Basics of Thermodynamics with problems
Basics of Thermodynamics with problemsBasics of Thermodynamics with problems
Basics of Thermodynamics with problems
 
ppt-4 First Law of Thermodynamics.pptx
ppt-4 First Law of Thermodynamics.pptxppt-4 First Law of Thermodynamics.pptx
ppt-4 First Law of Thermodynamics.pptx
 
The first law of thermodynamics.ppt
The first law of thermodynamics.pptThe first law of thermodynamics.ppt
The first law of thermodynamics.ppt
 
MET 211 Module 2 introduction_to_thermodynamics
MET 211 Module 2 introduction_to_thermodynamicsMET 211 Module 2 introduction_to_thermodynamics
MET 211 Module 2 introduction_to_thermodynamics
 
02 part5 energy balance
02 part5 energy balance02 part5 energy balance
02 part5 energy balance
 
Reversible and Irreversible process.pptx
Reversible and Irreversible process.pptxReversible and Irreversible process.pptx
Reversible and Irreversible process.pptx
 

Recently uploaded

Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmComputer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmDeepika Walanjkar
 
Levelling - Rise and fall - Height of instrument method
Levelling - Rise and fall - Height of instrument methodLevelling - Rise and fall - Height of instrument method
Levelling - Rise and fall - Height of instrument methodManicka Mamallan Andavar
 
Theory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdfTheory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdfShreyas Pandit
 
Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Romil Mishra
 
70 POWER PLANT IAE V2500 technical training
70 POWER PLANT IAE V2500 technical training70 POWER PLANT IAE V2500 technical training
70 POWER PLANT IAE V2500 technical trainingGladiatorsKasper
 
Virtual memory management in Operating System
Virtual memory management in Operating SystemVirtual memory management in Operating System
Virtual memory management in Operating SystemRashmi Bhat
 
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptxTriangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptxRomil Mishra
 
TEST CASE GENERATION GENERATION BLOCK BOX APPROACH
TEST CASE GENERATION GENERATION BLOCK BOX APPROACHTEST CASE GENERATION GENERATION BLOCK BOX APPROACH
TEST CASE GENERATION GENERATION BLOCK BOX APPROACHSneha Padhiar
 
List of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdfList of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdfisabel213075
 
priority interrupt computer organization
priority interrupt computer organizationpriority interrupt computer organization
priority interrupt computer organizationchnrketan
 
Forming section troubleshooting checklist for improving wire life (1).ppt
Forming section troubleshooting checklist for improving wire life (1).pptForming section troubleshooting checklist for improving wire life (1).ppt
Forming section troubleshooting checklist for improving wire life (1).pptNoman khan
 
THE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTION
THE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTIONTHE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTION
THE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTIONjhunlian
 
『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书
『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书
『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书rnrncn29
 
Energy Awareness training ppt for manufacturing process.pptx
Energy Awareness training ppt for manufacturing process.pptxEnergy Awareness training ppt for manufacturing process.pptx
Energy Awareness training ppt for manufacturing process.pptxsiddharthjain2303
 
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSHigh Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSsandhya757531
 
Python Programming for basic beginners.pptx
Python Programming for basic beginners.pptxPython Programming for basic beginners.pptx
Python Programming for basic beginners.pptxmohitesoham12
 
Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...
Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...
Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...Erbil Polytechnic University
 
Mine Environment II Lab_MI10448MI__________.pptx
Mine Environment II Lab_MI10448MI__________.pptxMine Environment II Lab_MI10448MI__________.pptx
Mine Environment II Lab_MI10448MI__________.pptxRomil Mishra
 
KCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosKCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosVictor Morales
 

Recently uploaded (20)

Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmComputer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
 
Levelling - Rise and fall - Height of instrument method
Levelling - Rise and fall - Height of instrument methodLevelling - Rise and fall - Height of instrument method
Levelling - Rise and fall - Height of instrument method
 
Theory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdfTheory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdf
 
Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________
 
70 POWER PLANT IAE V2500 technical training
70 POWER PLANT IAE V2500 technical training70 POWER PLANT IAE V2500 technical training
70 POWER PLANT IAE V2500 technical training
 
Virtual memory management in Operating System
Virtual memory management in Operating SystemVirtual memory management in Operating System
Virtual memory management in Operating System
 
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptxTriangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptx
 
TEST CASE GENERATION GENERATION BLOCK BOX APPROACH
TEST CASE GENERATION GENERATION BLOCK BOX APPROACHTEST CASE GENERATION GENERATION BLOCK BOX APPROACH
TEST CASE GENERATION GENERATION BLOCK BOX APPROACH
 
List of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdfList of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdf
 
priority interrupt computer organization
priority interrupt computer organizationpriority interrupt computer organization
priority interrupt computer organization
 
Forming section troubleshooting checklist for improving wire life (1).ppt
Forming section troubleshooting checklist for improving wire life (1).pptForming section troubleshooting checklist for improving wire life (1).ppt
Forming section troubleshooting checklist for improving wire life (1).ppt
 
THE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTION
THE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTIONTHE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTION
THE SENDAI FRAMEWORK FOR DISASTER RISK REDUCTION
 
『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书
『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书
『澳洲文凭』买麦考瑞大学毕业证书成绩单办理澳洲Macquarie文凭学位证书
 
Energy Awareness training ppt for manufacturing process.pptx
Energy Awareness training ppt for manufacturing process.pptxEnergy Awareness training ppt for manufacturing process.pptx
Energy Awareness training ppt for manufacturing process.pptx
 
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSHigh Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
 
Python Programming for basic beginners.pptx
Python Programming for basic beginners.pptxPython Programming for basic beginners.pptx
Python Programming for basic beginners.pptx
 
Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...
Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...
Comparative study of High-rise Building Using ETABS,SAP200 and SAFE., SAFE an...
 
Mine Environment II Lab_MI10448MI__________.pptx
Mine Environment II Lab_MI10448MI__________.pptxMine Environment II Lab_MI10448MI__________.pptx
Mine Environment II Lab_MI10448MI__________.pptx
 
Designing pile caps according to ACI 318-19.pptx
Designing pile caps according to ACI 318-19.pptxDesigning pile caps according to ACI 318-19.pptx
Designing pile caps according to ACI 318-19.pptx
 
KCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosKCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitos
 

Reynolds transport theorem

  • 1. BY- MOHIT MAYOOR KASHYAP CUJ/I/2013/IWEM/007
  • 2. INTRODUCTION • Reynolds transport theorem is a theorem which is used to relate statement of any physical law to a system to the statement of that physical law to a control volume.
  • 3. • Mathematically, • Time rate of change of any extensive property for a system = rate of change of property within a control volume + net rate of efflux of the property from the control volume • N= property η = property/mass • {DN/Dt}system = {δ/δt ∫ ∫ ∫ η ρdv }control volume + {∫ ∫ η ρv.dA}control surface
  • 4. IMPORTANT POINTS • A particle is a differential concept of system. • Any thing is defined with respect to system . • Basic laws are first initiated with respect to system. • But later on , it was much simplified by defining the basic laws with respect to control volume.
  • 5.
  • 6. • SYSTEM- some amount of mass and boundary. • Mass and boundary are the important characteristics of the system. surroundingMass system boundary
  • 7. SYSTEM CONTROL MASS SYSTEM OR CLOSED SYSTEM OR SYSTEM CONTROL VOLUME SYSTEM OR OPEN SYSTEM ISOLATED SYSTEM
  • 8. CONTROL MASS SYSTEM • Mass transfer is not allowed. • So identity remains constant • Boundary may contract or expand as energy transfer is allowed, so the boundary is flexible. M closed No mass transfer
  • 9. CONTROL VOLUME SYSTEM • Also known as open system. • In this kind of system mass and energy transfer both take place , so identity is lost. • Boundary is rigid.
  • 10. ISOLATED SYSTEM • No mass transfer and no energy transfer. • It is isolated from the surrounding.
  • 11. • Let us take an example of conservation of mass in fluid flow. • e.g. for system :-{ dm/dt = 0 } rate of change of mass within a system is zero i.e. mass remains constant inside the system. • For control volume- continuity equation states that the net rate of increase in mass in the control volume + net rate of mass efflux from the control volume = 0
  • 12. CONTINUITY EQUATION FOR CONTROL VOLUME • δρ/δt +δ(ρu)/δx + δ(ρv)/δy + δ(ρw)/δz = 0 • DIFFERENTIAL FORM • δρ/δt + ∇. (ρV) Where ∇ = i δ/ δx + j δ/ δy + k δ/ δz V= iu + jv + kw
  • 13. • CONTINUITY EQUATION IN INTEGRAL FORM • Net rate of mass efflux from c.v. = ∫ ∫ A ρV.ndA • Net rate of increase of mass in cv = ∫ ∫ ∫v ρdv CONTROL VOLUME dA
  • 14. RTT APPLICATION • CONSERVATION OF MASS • Let N= mass= m Dm/Dt=0 {wrt system} • η=1 {N/mass} • Dm/Dt= δ/ δt∫ ∫ ∫cv ρdv + ∫ ∫ cs Ρv. dA 0