Abstract

The present study presents a mathematical model that has been derived to reveal the influence of the thermal dynamics of the impinging plate on the hydrodynamic and thermal boundary layer thicknesses and Nusselt number for a planar stagnation flow, when incident velocity and/or applied heat flux are transient. The model consists of a system of three ordinary differential equations and an analytical solution for the temperature distribution across the plate. Results showed that the boundary layer thicknesses and Nusselt number were affected by the periodical variations in the applied heat flux to within 1%. By contrast, the temperature across the impinging plate had significant fluctuations induced by both forcing functions. The influence of various parameters on the plate temperature distribution was systematically assessed. Comparison of theoretical predictions with experimental measurements indicated an agreement to within 1% in temperature, heat flux, and Nusselt number at the impinging surface.

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