Abstract
In this study, we have developed an analytic model to analyze the influence of velocity slip parameter and heat source on magneto hydrodynamics (MHD) heat and mass transfer of a Jeffery fluid which conducts electricity on a stretching surface. Both temperature and concentration are assumed to be in power low form. The existing partial differential equations (PDEs) is changed into a structure of ordinary differential equations (ODE's) by using a similarity variable. For computing the transformed equation, we used an analytical method named as Optimal Homotopy Asymptotic Method (OHAM). The influence of different dimensionless parameters on the velocity, temperature, concentration and as well as the coefficient of skin friction, Nusselt number and Sherwood number were evaluated using graphs and tables. It is observed that the velocity slip parameter (<i>k</i>) and the Deborah number (β) have opposite effects on the velocity distributions of the fluid flow. However, the effects of heat source parameter (δ) and thermal radiation parameter (<i>R</i>) on the temperature profile is similar. To be confident about the accuracy of this analytic method, the values of Nusselt number (<i>Mu<sub>x</sub></i>) solved numerically is compared with the previously published works done before and the comparison is found to be in a very good agreement.
Highlights
The flow of non-Newtonian fluid with magnetic field towards a stretching sheet has pulled in the attitude of many investigators for the last decades
We considered a steady two-dimensional incompressible, and electrically conducting Jeffery fluid flow over a linearly stretching sheet with the effect of velocity slip parameter, heat source, thermal radiation, and chemical reaction
To study the flow model for the above coupled non-linear ordinary differential equations (10)-(12) an Optimal Homotopy Asymptotic Method has been employed
Summary
The flow of non-Newtonian fluid with magnetic field towards a stretching sheet has pulled in the attitude of many investigators for the last decades. A flow on a boundary layer and heat transport properties under the impact of slip velocity, Brownian motion, and thermal radiation were considered by Pal and Roy [13] Their results have shown that the effect of slip velocity is to reduce the shear stress at the surface of the stretching sheet. A steady laminar MHD flow of non-Newtonian viscoelastic fluid on a horizontal expanded plane was investigated by Gizachew and Shankar [16] Their result indicated that the thermal boundary layer thickness raises when the size of the viscoelastic parameter and magnetic field parameter increases. Narayana and Babu [17] examined the MHD flow of an electrically conducting Jeffery fluid due to a stretching sheet with an effect of heat sink/source and chemical reaction. This study concentrates to analyze different parameter effects on an MHD Jeffery fluid flow with heat source/sink and thermal radiation. The results obtained are shown by using graphs and tables
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