Governing Equations
Mass conservation: mass is conserved. (continuity equation)
Momentum conservation: Newton’s second law: ?F=ma.
? 1 vector equation, or 3 scalar equations, one in each direction
Energy conservation: Second law of Thermodynamics.
Relate pressure to the density and the temperature: example: the ideal gas law, P=rRT ? 1 scalar equation.
Fluid properties to be analyzed: pressure (P), velocity (three components U, V, W), density(r), temperature (T).
Six partial differential equations for six unknowns, can be solved if proper boundary and initial conditions are given