Computation of jet impingement heat transfer by an adaptive finite element algorithm

Abstract

This paper presents adaptive finite element computations of laminar and turbulent jet impingement heat transfer. Turbulence is modeled using the standard k — c model for high Reynolds number, coupled with wall functions. The turbulence model is solved in logarithmic form. The error estimator uses a local least squares projection of derivatives and accounts for errors in all dependent variables, including the eddy viscosity. The performance of the methodology is verified by solving a problem possessing a closed form solution. Two applications are then considered: laminar and turbulent impinging jets. In both cases, heat transfer is a key element of the study. Results indicate that the methodology can produce grid independent solutions even for derived quantities and in thin boundary layers. Numerical predictions are compared to experimental data. Nomenclature