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MAGNETOHYDRODYNAMIC(MHD) STAGNATION POINT FLOW AND HEAT TRANSFER OF UPPER-CONVECTED MAXWELL FLUID PAST A STRETCHING SHEET IN THE PRESENCE OF NANOPARTICLES WITH CONVECTIVE HEATING
Department of Mathematics, Ambo University, Ambo, P.O.Box 19, Ambo, Ethiopia
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Frontiers in Heat and Mass Transfer 2016, 7, 1-10. https://doi.org/10.5098/hmt.7.4
Abstract
The study scrutinizes the effect of convective heating on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of upper-convected Maxell fluid p ast a s tretching s heet i n t he p resence o f n anoparticles. T he m odel u sed i n t he s tudy i ncludes t he e ffect o f B rownian m otion and thermophoresis parameters. The non-linear governing equations and their boundary conditions are initially cast into dimensionless forms by similarity transformation. The resulting system of equations is then solved numerically using fourth order Runge-Kutta method along with shooting technique. Numerical results are obtained for velocity, temperature, concentration profiles, skin friction coefficient, local Nusselt number and Sherwood number. It is found that the skin friction coefficient, the local Nusselt number and Sherwood number increase with an increase in A and β and decreases as the values of M increase. Moreover, the local Nusselt number -θ' (0) and local Sherwood number -φ' (0) increases with an increase in Bi.Keywords
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