Laminar forced convection conjugate heat transfer over a flat plate

Coupled heat transfer between laminar forced convection along and conductio n inside a flat plate wall is theoretically studied. The laminar convective boundary layer is analyzed by employing the integral technique. The energy equations for the fluid and the plate wan are combined under the condition of the continuity in the temperature and heat flux at the fluid-solid inte rface. The analysis results in a simple formal solution. Expressions have b een obtained for calculating local Nusselt number, wall heat flux and tempe rature along the plate, all are functions of the local Brun number, Br-x, w hich is a measure of the ratio of the thermal resistance of the plate to th at of the convective boundary layer. The results indicate that for Br-x gre ater than or equal to 0.15, neglecting the plate resistance will results in an error of more than 5% in Nusselt number. Comparison of the present solu tion with other previous studies has been made. The solution may be of a co nsiderable theoretical and practical interest.