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Introduction to Fluid Mechanics

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

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Introduction to Fluid Mechanics

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  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 Derivativesto the Control Volume Formulation • Conservation of Mass • Momentum Equation forInertial 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 forInertial 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 forInertial Control Volume • Basic Law, and Transport Theorem

  15. Momentum Equation forInertial Control Volume

  16. Momentum Equation forInertial Control Volume • Special Case: Bernoulli Equation • Steady Flow • No Friction • Flow Along a Streamline • Incompressible Flow

  17. Momentum Equation forInertial 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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