Basic Equations in Integral Form

Basic Equations in Integral Form

1. Conservation of Mass

   • Incompressible Fluids
     • Incompressible nondeformable control volume of fixed size and shape
     • Uniform Velocity at Each Inlet and Exit
   • Compressible flow through a fixed control volume
     • Uniform velocity at each inlet and exit

2. Newton's Second Law

3. Linear Momentum

4. Angular Momentum

   • Angular Momentum Principle
   • Angular Momentum of the System

5. First Law of Thermodynamics

6. Total Energy of the System

7. Reynolds Transport Theorem

8. Momentum Equations

   • Momentum Equation for Inertial Control Volume
   • Special Cases
     • Nonaccelerating Inertial Control Volume
     • Body Force
     • Surface Force

9. Basic Equation of a System for Control Volume

   • x components
   • y components
   • z components
   • Uniform Flow at each inlet and outlet

10. Control Volume Moving with Constant Velocity

    • Rectilinear acceleration of the system
      • Relative to non-inertial reference frame
      • Relative to inertial reference frame
    • Rectilinear acceleration of non-inertial xyz relative to inertial reference frame XYZ

11. Continuity Equation