Total Heat Transfer Rate for Compressible Fluid

What is the definition of Total heat transfer rate for Compressible fluid?

When performing thermal calculations, check the heat balance in the total heat transfer rate [W] through Report->Fluxes. For an incompressible fluid, the definition is:
= ̇ × × ( − 298.15) [ ]
where,
̇: mass flow rate [kg/s]
Cp: specific heat [J/kg-K]
T: face temperature [K]
However, in the case of a compressible fluid (density set to Ideal-gas), the definition differs between the pressure and density-based solvers.
Please refer to this document for more information.