Numerical study of thermal radiation and mass transfer effects on free convection flow over a moving vertical porous plate using cubic B-spline collocation method

M Abu Zeid,M A Shaalan,K R Raslan,Khalid K Ali

doi:10.1186/s42787-019-0035-8

Abstract

In this paper, we present a numerical method based on cubic B-spline function for studying the effects of thermal radiation and mass transfer on free convection flow over a moving vertical porous plate. Similarity transformations reduced the governing partial differential equations of the fluid flow to a system of nonlinear ordinary differential equations which are solved numerically using a cubic B-spline collocation method. The effects of various physical parameters on the velocity, temperature, and concentration distributions are shown graphically, and the numerical values of physical quantities like skin friction, Nusselt number, and Sherwood number for various parameters are presented in tabular form and discussed.

Highlights

Free convection flow is important in many practical applications including cooling of electronic components, designs related to thermal insulation, material processing, and geothermal systems
Makinde and Ogulu studied the effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field [16]
Numerical results and discussion The problem of an unsteady free convection fluid flow past a moving vertical porous plate with thermal radiation and mass transfer has been computed for the velocity (f), the temperature (θ), and the concentration (Φ) with boundary layer for different parameters as Prandtl number (Pr), Schmidt number (Sc), thermal Grashof number (Gr), solutal Grashof number (Gc), the temperature difference parameter (N), radiation parameter (Ra), and suction parameter (c) with step size Δη = 0.05

Summary

Introduction

Free convection flow is important in many practical applications including cooling of electronic components, designs related to thermal insulation, material processing, and geothermal systems. Makinde and Ogulu studied the effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field [16].

Results

Conclusion