# Dissipation of temperature variance

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 December 11, 2000, 09:32 Dissipation of temperature variance #1 Fabian Guest   Posts: n/a 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

 December 11, 2000, 10:25 Re: Dissipation of temperature variance #2 Michael Malin Guest   Posts: n/a 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.

 December 11, 2000, 11:19 Re: Dissipation of temperature variance #3 Chidu Guest   Posts: n/a 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...

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