Total Pressure: RANS vs EXPT

Dave Hunt

Total Pressure: RANS vs EXPT

Dear All,

I am looking at comparisons between total pressure from an experiment and CFD data from a RANS calculation (k-w although the model shouldn't be relevant to the question). How do I do this? My assumption is that for incompressible flow;

p0=p + rho.Ui.Ui/2

Reynolds averaging <...> this gives;

<p0>=
+ <rho><Ui><Ui>/2 + <rho><ui.ui>/2

or

<p0>=
+ <rho><Ui><Ui>/2 + <rho>k

based on Ui=<Ui>+ui

In an experiment, the total pressure observed will be <p0> and the RANS CFD solution will solve for <rho>, <Ui> and k.

1) Firstly, is the above argument correct.

2) Is there a reference that indicates this?

3) Is there a reference showing how to obtain the time-averaged

total pressure based on the Reynolds averaged (strictly Favre averaged) quantities available from a compressible RANS solution.

Many thanks

David Hunt