Introduction to Fluid Mechanics

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Presentation transcript:

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 Momentum Equation for Inertial Control Volume with Rectilinear Acceleration The Angular Momentum Principle The First Law of Thermodynamics The Second Law of Thermodynamics

Basic Laws for a System Conservation of Mass

Basic Laws for a System Momentum Equation for Inertial Control Volume

Basic Laws for a System The Angular Momentum Principle

Basic Laws for a System The First Law of Thermodynamics

Basic Laws for a System The Second Law of Thermodynamics

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

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

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

Conservation of Mass Basic Law, and Transport Theorem

Conservation of Mass

Conservation of Mass Incompressible Fluids Steady, Compressible Flow

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

Momentum Equation for Inertial Control Volume

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

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

Momentum Equation for Inertial Control Volume with Rectilinear Acceleration

The Angular Momentum Principle Basic Law, and Transport Theorem

The Angular Momentum Principle

The First Law of Thermodynamics Basic Law, and Transport Theorem

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

The Second Law of Thermodynamics Basic Law, and Transport Theorem

The Second Law of Thermodynamics