Abstract

Abstract In this present analysis we investigated the steady-state magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid over an exponentially stretching surface in the presence of heat source and chemical reaction. The chemical reaction with combination of exponential surface has significance in many industrial and manufacturing systems. The partial nonlinear differential equations are transformed into ordinary differential equations by using the similarity conversion and the accomplished boundary layer ordinary differential equations are elucidated numerically by using Shooting technique. The effects of numerous non-dimensional governing factors on velocity, temperature and concentration profiles were depicted graphically and analyzed in detail. The numerically computed results of Skin friction factor, Nusselt and Sherwood numbers are presented in tabular form for suction and injection cases separately.Heat transfer rate at the surface increases with increasing values of power law of index and whereas it declines with the magnetic field, heat source and chemical reaction parameters. It observed that Biot number enhances the skin friction, Nusselt number and decrease the Sherwood number.Heat transfer rate and mass transfer rate increases and skin friction decreases with increasing Eckert number.

Highlights

  • A non-Newtonian fluid is a fluid that does not follow Newton’s Law of Viscosity

  • In this present analysis we investigated the steady-state magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid over an exponentially stretching surface in the presence of heat source and chemical reaction

  • The partial nonlinear differential equations are transformed into ordinary differential equations by using the similarity conversion and the accomplished boundary layer ordinary differential equations are elucidated numerically by using Shooting technique

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Summary

Introduction

A non-Newtonian fluid is a fluid that does not follow Newton’s Law of Viscosity. Most commonly, the viscosity of non-Newtonian fluids is dependent on shear rate or shear rate history. The unsteady and coupled heat and mass transfer by MHD mixed convective boundary-layer flow of an electrically conducting fluid over an impulsively stretched vertical surface in an unbounded inert fluid with aiding external flow in the presence of a transverse magnetic field, chemical reaction, and Soret and Dufour effects described by [31,32,33]. Rashad and Chamkha [34] studied the MHD free convective heat and mass transfer of a viscous, electrically conducting and chemically-reacting fluid contiguous to a vertical stretching sheet embedded in a saturated porous medium The objective of this present study we analyzed the flow, heat and mass transfer behavior of tangent hyperbolic fluid over an exponentially stretching surface in the occurrence of heat source. The leading equations in components form after inferring boundary layer the basic continuity, momentum and energy equations (Partha et al (2005)), Raju et al (2016) and (Uma and Koteswara (2017)) are given by

Mathematical formulation
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