Abstract

BUOYANCY RATIO AND HEAT SOURCE EFFECTS ON MHD FLOW OVER AN INCLINED NON-LINEARLY STRETCHING SHEET

Highlights

  • The convective transport phenomenon in a porous medium received considerable attention stems from various engineering applications in geothermal reservoirs, thermal insulation engineering, petroleum industries, separation process in chemical industries and solar heating systems

  • Extensive discussion of other applications recently studied by several researchers over stretching sheet which includes Sisko fluid flow employing Homotopy Analysis Method (HAM) Khan and Shahzad (2012), Second grade MHD fluid flow using Runge-Kutta (RK) sixth order integration scheme Das et al (2016), Chamkha (2002) considered semi-infinite inclined and ideally transparent flat plate embedded in a porous medium with an Implicit finite difference scheme (IFDM), mixed convective couple stress fluid flow in a vertical channel with HAM by Kaladhar and Srinivasacharya (2014) and Prandtl-Eyring fluid flow with Keller-Box Method (KBM) Hussain et al (2017)

  • The governing coupled nonlinear momentum, thermal boundary layer and species concentration equations are transformed into coupled ordinary differential equations by using similarity transformations

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Summary

INTRODUCTION

The convective transport phenomenon in a porous medium received considerable attention stems from various engineering applications in geothermal reservoirs, thermal insulation engineering, petroleum industries, separation process in chemical industries and solar heating systems. Chamkha (1997) adopted Finite Difference Method (FDM) to study Magnetohydrodynamic (MHD) free convective flow from a vertical plate with Hall effects embedded in a thermally stratified porous medium It has been observed from earlier research that in fluid flow situations boundary circumstances are considered either at a particular specified surface heat flux or at a wall temperature. Significant studies of magnetic, radiative and electrically conducting fluid flows from horizontal stretching sheets have been reported but in many metallurgical processes involve cooling of continuous strips or filaments and these strips are stretched when they are drawn through a quiescent fluid and the final product quality improved by drawing such strips in an electrically conducting fluid subject to magnetic field This motivates to consider the MHD boundary layer convective flow of an electrically conducting fluid in the presence of buoyancy ratio, heat source and radiation over an inclined nonlinear stretching sheet under convective surface boundary conditions. The current simulations are relevant to paper production, glass fiber, polymer processing, cooling of metallic sheets in a metallic bath and many more

MATHEMATICAL FORMULATION OF THE MODEL
NUMERICAL SOLUTION OF NONLINEAR BOUNDARY VALUE PROBLEM
GRID INDEPENDENCE STUDY AND VALIDATION OF RESULTS
RESULTS AND DISCUSSION
Velocity distributions
Temperature distributions
Concentration distributions
CONCLUSIONS

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