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ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

# International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2018025030
pages 187-197

## NUMERICAL STUDY OF A JEFFREY FLUID OVER A POROUS STRETCHING SHEET WITH HEAT SOURCE/SINK

P. Venkata Satya Narayana
Department of Mathematics, SAS, VIT University, Vellore 632014, TN, India
D. Harish Babu
Department of Mathematics, Sree Vidyanikethan Engineering College, A. Rangampet, AP, India
M. Sudheer Babu
Department of Mathematics, Sree Vidyanikethan Engineering College, A. Rangampet, AP, India

### RESUMO

The mathematical analysis of 2D magnetohydrodynamic Jeffrey fluid flow over a permeable stretching surface in the presence of viscous dissipation and heat source/sink is made in this article. Using appropriate similarity transformations, the set of governing partial differential equations is transformed into a set of coupled nonlinear ordinary differential equations. The resulting equations along with boundary conditions are solved numerically using bvc4c method in MATLAB software. The velocity and high temperature distributions are broadly discussed with the help of graphs and tables in the presence of various physical parameters, such as magnetic field parameter (M), permeability parameter (K), heat source/sink parameter (Q), Eckert number (Ec), Prandtl number (Pr), Deborah number (β), and the ratio of relaxation and retardation times (λ). It is observed that the progress in Eckert number (i.e., viscous dissipations) corresponds to the increase in temperature and thermal boundary layer thickness, but it is opposite with Pr.

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