Constitutive Relations

In addition, we can get relations which are specific to the kind of fluid with which we are
dealing.
These equations are called the "Constitutive Relations". They include the equations of state.
Equations. of State [relations between different properties]
•Perfect Gas Law: Thermal eqn. of state
•Caloric eqn. of state

Energy contained per unit mass of a substance = (specific heat)*(temperature)
The independent variables are: velocity, density, pressure and temperature.

To solve for these in a given problem, we have the 3 conservation equations of mass,
momentum and energy, and the thermal state equation.
In addition, we may be interested in other variables, like the speed of sound.
Here the properties of the fluid are taken into account further using the Caloric Equation of State.


 

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