Proposal of Turbulent Heat Flux Model with Consideration of Linearity and Its Application to Turbulent Channel Flow with Various Thermal Boundary Conditions

Abstract — The present paper is concerned with a model satisfying the linearity principle and also the near-wall asymptotes for the turbulent heat transfer in the channel flow. A difficulty in the prediction by the turbulent heat flux model lies in the reproduction of a correct ratio of streamwise and wall-normal turbulent heat fluxes. This point will be revised in the present model. The proposed model will be tested in comparison with several DNSs with different thermal boundary conditions; the cases of constant wall temperature difference (CTD), the uniform heat flux heating (UHF), and the constant spanwise mean temperature gradient (CSG). Moreover, a case of CTD imposed with CSG (CTD + CSG) is provided to verify the satisfaction of the linearity. 1