Computation of convective heat transfer coefficient for finite inclined and isothermal plate
In order to compute the convective heat transfer coefficient, the present study develops a new technical approach of the constitutive equations of the fluid, based on a realistic physical model of heat transfer for an inclined and an isothermal plate with finite dimensions. Two separate regions with different fluid motions are distinguished. Using suitable transformations of differential equations, the similarity ordinary differential equations were obtained and then solved by an appropriate and simple finite difference method. The analysis of numerical results for some special cases of inclination with visualization photographs is found to be in very good agreement. Numerical results for the dimensionless velocity and temperature profiles are obtained and reported graphically for various values of the parameters entering into the problem. It has observed that Lorenz forces are suitable to control the velocity. Discrepancy between the quasi-analytical formula and the present numerical results are recorded for the Nusselt number and for both the two regions.