Hi all,

does somebody know a reference how to model the dissipation of the temperature variance epsilon_theta=thermal_diffusivity*(T'_i/x_i)^2? Where T' is the fluctuating temperature in the reynolds averaged transport eqns. I am not looking for a transport eqn. for epsilon_theta, rather an easy relationship between the temperature and the velocity field.

Cheers

Fabian

The simplest model may be Spalding's (Chem. Eng. Sci, 26, 95-107, 1971), i.e.

eps_t = (t'2/k)/R

where k is the turbulent kinetic energy, and R is the time-scale ratio, which is assumed to be constant and typically around 0.5.

I have a few references on this:

1) A two-equation model for heat transport in wall turbulent shear flows, Y. Nagano, C. Kim, Journal of Heat Transfer, vol. 110, p. 583, 1988

2) Near-wall variable Prandtl number turbulence model for compressible flows, Sommer T. P., So R. M. C., Zhang H. S., AIAA Journal, vol. 31, No. 1, 1993.

regards, chidu...