NUMERICAL SIMULATION ON LAMINAR CONVECTION FLOW AND HEAT TRANSFER OVER A NON-ISOTHERMAL HORIZONTAL PLATE

Asish Mitra

Abstract: A numerical algorithm is presented for studying laminar convection flow and heat transfer over a non-isothermal horizontal plate. plate temperature Tw varies with x in the following prescribed manner: T T Cx w n ? 1 ? where C and n are constants. By means of similarity transformation, the original nonlinear partial differential equations of flow are transformed to a pair of nonlinear ordinary differential equations. Subsequently they are reduced to a first order system and integrated using Newton Raphson and adaptive Runge-Kutta methods. The computer codes are developed for this numerical analysis in Matlab environment. Velocity, and temperature profiles for various Prandtl number and n are illustrated graphically. Flow and heat transfer parameters are derived. The results of the present simulation are then compared with experimental data in literature with good agreement.

Keywords: Free Convection, Heat Transfer, Non-isothermal Horizontal Plate, Matlab, Numerical Simulation.

DOI: https://doi.org/10.15623/ijret.2015.0408035