definitioon of total pressure with k

Carl H.

I am confused about the definition of total temperature and total pressure in a turbulent flow with non-negligible kinetic energy of fluctuation k.

I use an isentropic law to define the total pressure :

T0 = T + V**2/(2Cp) + k/2(Cp)

p0 = p*(T0/T)**(g/(g-1))

but this gives me strange evolution of total pressure (increasing total pressure). Can you enlight me on this subject ?

Thanks

Carl