Fundamentals

The following sections are included:

• Some Important Vectors

  • Fluid velocity and acceleration

  • Forces and the stress vector

• Conservation Laws and the Stress Tensor

  • Conservation of mass

  • Conservation of linear momentum

  • Conservation of angular momentum

  • The stress tensor

  • Conservation of energy

• The Newtonian Fluid

• The Generalized Newtonian Fluid

  • Derivation of the stress tensor

• The Order Fluids and the CEF Equation

  • Strain tensors

  • Order fluids

  • Limitations of order fluid models

  • The CEF equation

• More Complicated Constitutive Relations

  • Differential constitutive models

  • Integral constitutive models