A near-wall two-equation model for turbulent heat fluxes |
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Authors: | T P Sommer R M C So and Y G Lai |
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Affiliation: | Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106, U.S.A. |
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Abstract: | A near-wall two-equation model for turbulent heat fluxes is derived from the temperature variance and its dissipation-rate equations and the assumption of gradient transport. Only incompressible flows with non-buoyant heat transfer are considered. The near-wall asymptotics of each term in the exact equations are examined and used to derive near-wall correction functions that render the modeled equations consistent with these behavior. Thus modeled, the equations are used to calculate fully-developed pipe and channel flows with heat transfer. It is found that the proposed two-equation model yields asymptotically correct near-wall behavior for the normal heat flux, the temperature variance and its near-wall budget and correct limiting wall values for these properties compared to direct simulation data and measurements obtained under different wall boundary conditions. |
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