Variation of Thermal Conductivity on Two-Dimensional Hydromagnetic Flow of Thermophoretic Forces: Impact of Suction/Blowing

Abstract

The novelty of thermal conductivity is the transmission of warmth from warmer to cooler portions of a body ensuing in balancing of temperature. Owing to importance of thermal conductivity in engineering technologies, a finite difference scheme is developed to study the originality of thermal conductivity in a two-dimensional fluid motion in assembly with thermophoretic forces, variable thermal conductivity and viscous dissipative heat over a permeable horizontal surface. The thermophoretic effect is included in the concentration boundary layer equation and the formulation has adopted by Talbot-Cheng-Scheffer-Willis (1980). A suitable similarity transformation is adapted to convert the leading PDEs to non-linear ordinary differential equations in non-dimensional form. A well-tested, numerically stable finite difference scheme in connection with Bvp4c is employed via MATLAB code for the conservation of equations under the appropriate transformed boundary conditions. The impact of thermophoretic forces and thermal conductivity in presence of suction/blowing over the fluid velocity and temperature are significant. The thermal conductivity of a substantial is an important property that assistances in the growth of active boiler/refrigerating machineries. In this study, thermophoretic forces (TP) and thermal conductivity (β) enhances the fluid velocity in presence of blowing, while they declines the velocity due to suction. The validity and accuracy of the present model have been checked and found adequate agreement with the previous studies. The importance of such analysis over a horizontal surface have numerous manufacturing, industrial and engineering applications in plastic sheets extrusion, polymer extraction, blowing of glass, manufacture of paper, thermo-electronics and rubber sheets.