We all know that pressure and temperature are related thermodynamically. We also know that velocity and temperature are related through the dimensionless quantity known as the Mach number (which itself is a function of temperature). So when defining boundary conditions for Mach number, temperature and pressure, how can I correctly set the values of temperature, velocity and pressure? How are free stream pressure and velocity related, for a particular temperature? Or are they independent and can be set in any way I want?
I quoted this:
The pressure that includes the effect of the inherent random motion of molecules in the flow at the local flow velocity is the static pressure. The difference between the pressure in a flow of this kind and one in which the fluid in considered to not have molecular motion is called the freestream pressure.
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