Analytical Solutions of an MHD Heat and Mass Transfer of a Jeffery Fluid Flow over a Stretching Sheet with the Effect of Slip Velocity
Advances in Applied Sciences
Volume 3, Issue 3, June 2018, Pages: 34-42
Received: Jul. 19, 2018; Accepted: Aug. 13, 2018; Published: Sep. 6, 2018
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Authors
Adamu Gizachew, Department of Mathematics, College of Science, Osmania University, Hyderabad, India
Bandari Shankar, Department of Mathematics, College of Science, Osmania University, Hyderabad, India
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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 (k) 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 (R) on the temperature profile is similar. To be confident about the accuracy of this analytic method, the values of Nusselt number (Mux) solved numerically is compared with the previously published works done before and the comparison is found to be in a very good agreement.
Keywords
Stretching Sheet, Slip Parameter, Heat Source, Thermal Radiation, Chemical Reaction, OHAM
To cite this article
Adamu Gizachew, Bandari Shankar, Analytical Solutions of an MHD Heat and Mass Transfer of a Jeffery Fluid Flow over a Stretching Sheet with the Effect of Slip Velocity, Advances in Applied Sciences. Vol. 3, No. 3, 2018, pp. 34-42. doi: 10.11648/j.aas.20180303.13
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Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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