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 immortality April 10, 2013 19:48

why totalPressure formulas are different?

in header file of totalPressure in 2.2.0 version its explained briefly about categories of totalPressure bc.
Why for subsonic compressible flow we should use p0=p+.5*rho*U^2 and not the isentropic equation that includes mach in it like in gas dynamics texts?

 immortality April 11, 2013 04:41

whats the reason of choosing different formula in subsonic and supersonic for compressible flow?

 immortality April 11, 2013 08:37

it is what has been written in totalPressureFvPatchField.H
Code:

The modes of operation are set via the combination of \c phi, \c rho, and     \c psi entries:     \table         Mode                    | phi  | rho  | psi         incompressible subsonic | phi  | none  | none         compressible subsonic  | phi  | rho  | none         compressible transonic  | phi  | none  | psi         compressible supersonic | phi  | none  | psi     \endtable
and:
Code:

compressible subsonic:         \f[             p_T = p_0 + 0.5 \rho |U|^2         \f]         where         \vartable             p_T    | total pressure [Pa]             p_0    | reference pressure [Pa]             \rho    | density [kg/m3]             U      | velocity         \endvartable
while in all educational texts I have seen that this relation is for incompressible flow and for compressible flow we should use isentropic relations.
could anyone help me with this doubt on the concept?

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