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Introduction to Fluid Mechanics

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Presentation on theme: "Introduction to Fluid Mechanics"— Presentation transcript:

1 Introduction to Fluid Mechanics
Chapter 4 Basic Equations in Integral Form for a Control Volume

2 Main Topics Basic Laws for a System
Relation of System Derivatives to the Control Volume Formulation Conservation of Mass Momentum Equation for Inertial Control Volume Momentum Equation for Inertial Control Volume with Rectilinear Acceleration The Angular Momentum Principle The First Law of Thermodynamics The Second Law of Thermodynamics

3 Basic Laws for a System Conservation of Mass

4 Basic Laws for a System Momentum Equation for Inertial Control Volume

5 Basic Laws for a System The Angular Momentum Principle

6 Basic Laws for a System The First Law of Thermodynamics

7 Basic Laws for a System The Second Law of Thermodynamics

8 Relation of System Derivatives to the Control Volume Formulation
Extensive and Intensive Properties

9 Relation of System Derivatives to the Control Volume Formulation
Reynolds Transport Theorem

10 Relation of System Derivatives to the Control Volume Formulation
Interpreting the Scalar Product

11 Conservation of Mass Basic Law, and Transport Theorem

12 Conservation of Mass

13 Conservation of Mass Incompressible Fluids Steady, Compressible Flow

14 Momentum Equation for Inertial Control Volume
Basic Law, and Transport Theorem

15 Momentum Equation for Inertial Control Volume

16 Momentum Equation for Inertial Control Volume
Special Case: Bernoulli Equation Steady Flow No Friction Flow Along a Streamline Incompressible Flow

17 Momentum Equation for Inertial Control Volume
Special Case: Control Volume Moving with Constant Velocity

18 Momentum Equation for Inertial Control Volume with Rectilinear Acceleration

19 The Angular Momentum Principle
Basic Law, and Transport Theorem

20 The Angular Momentum Principle

21 The First Law of Thermodynamics
Basic Law, and Transport Theorem

22 The First Law of Thermodynamics
Work Involves Shaft Work Work by Shear Stresses at the Control Surface Other Work

23 The Second Law of Thermodynamics
Basic Law, and Transport Theorem

24 The Second Law of Thermodynamics


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