Computational Study of Heat Transfer in a Conjugate Turbulent Wall Jet Flow at High Reynolds Number

In the present case, the conjugate heat transfer involving the cooling of a heated slab by a turbulent plane wall jet has been numerically solved. The bottom of the solid slab is maintained at a hot uniform temperature, whereas the wall jet temperature, is equal to the ambient temperature. The Reynolds number considered is 15,000 because it has already been experimentally found and reported that the flow becomes fully turbulent and is independent of the Reynolds number. The high Reynolds number two-equation model $(κ‐ϵ)$ has been used for the turbulence modeling. The parameters chosen for the study are the conductivity ratio of the solid-fluid $(K)$⁠, the solid slab thickness $(S)$⁠, and the Prandtl number (Pr). The ranges of parameters are $K=1–1000$⁠, $S=1–10$⁠, and $Pr=0.01–100$⁠. Results for the solid-fluid interface temperature, local Nusselt number, local heat flux, average Nusselt number, and average heat transfer are presented and discussed.