Introduction to Fluid Mechanics Chapter 4 Basic Equations

Introduction to Fluid Mechanics Chapter 4 Basic Equations in Integral Form for a Control Volume © Fox, Mc. Donald & Pritchard

Main Topics ü Basic Laws for a System ü Relation of System Derivatives to the Control Volume Formulation ü Conservation of Mass ü Momentum Equation for Inertial Control Volume with Rectilinear Acceleration ü The Angular Momentum Principle ü The First Law of Thermodynamics ü The Second Law of Thermodynamics © Fox, Mc. Donald & Pritchard

Basic Laws for a System ü Conservation of Mass © Fox, Mc. Donald & Pritchard

Basic Laws for a System ü Momentum Equation for Inertial Control Volume © Fox, Mc. Donald & Pritchard

Basic Laws for a System ü The Angular Momentum Principle © Fox, Mc. Donald & Pritchard

Basic Laws for a System ü The First Law of Thermodynamics © Fox, Mc. Donald & Pritchard

Basic Laws for a System ü The Second Law of Thermodynamics © Fox, Mc. Donald & Pritchard

Relation of System Derivatives to the Control Volume Formulation ü Extensive and Intensive Properties © Fox, Mc. Donald & Pritchard

Relation of System Derivatives to the Control Volume Formulation ü Reynolds Transport Theorem © Fox, Mc. Donald & Pritchard

Relation of System Derivatives to the Control Volume Formulation ü Interpreting the Scalar Product © Fox, Mc. Donald & Pritchard

Conservation of Mass ü Basic Law, and Transport Theorem © Fox, Mc. Donald & Pritchard

Conservation of Mass © Fox, Mc. Donald & Pritchard

Conservation of Mass ü Incompressible Fluids ü Steady, Compressible Flow © Fox, Mc. Donald & Pritchard

Momentum Equation for Inertial Control Volume ü Basic Law, and Transport Theorem © Fox, Mc. Donald & Pritchard

Momentum Equation for Inertial Control Volume © Fox, Mc. Donald & Pritchard

Momentum Equation for Inertial Control Volume ü Special Case: Bernoulli Equation 1. 2. 3. 4. Steady Flow No Friction Flow Along a Streamline Incompressible Flow © Fox, Mc. Donald & Pritchard

Momentum Equation for Inertial Control Volume ü Special Case: Control Volume Moving with Constant Velocity © Fox, Mc. Donald & Pritchard

Momentum Equation for Inertial Control Volume with Rectilinear Acceleration © Fox, Mc. Donald &

The Angular Momentum Principle ü Basic Law, and Transport Theorem © Fox, Mc. Donald

The Angular Momentum Principle © Fox, Mc. Donald & Pritchard

The First Law of Thermodynamics ü Basic Law, and Transport Theorem © Fox, Mc.

The First Law of Thermodynamics Work Involves ü Shaft Work ü Work by Shear Stresses at the Control Surface ü Other Work © Fox, Mc. Donald & Pritchard