4.3 Article

Mixed Convection of a Radiating Magnetic Nanofluid past a Heated Permeable Stretching/Shrinking Sheet in a Porous Medium

Journal

MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2021, Issue -, Pages -

Publisher

HINDAWI LTD
DOI: 10.1155/2021/6696748

Keywords

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Funding

  1. Adama Science and Technology University [ASTU/SP-R/013/19]

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This study investigates the stagnation point flow of an electrically conducting nanofluid past a permeable stretching/shrinking sheet in a porous medium, finding that the magnetic field and porous medium parameter affect fluid stability, thermal radiation influences skin friction and local Sherwood numbers, while porous and suction/injection parameters impact the local Nusselt number.
This paper analyzes the collective effects of buoyancy force, thermal radiation, convective heating, and magnetic field on stagnation point flow of an electrically conducting nanofluid past a permeable stretching/shrinking sheet in a porous medium. Similarity transformations are used on the resulting nonlinear partial differential equations to transfer into a system of coupled nonlinear ordinary differential equations. The fourth-fifth-order Runge-Kutta-Fehlberg method with shooting technique is applied to solve numerically. Results are obtained for dimensionless velocity, temperature, and nanoparticle volume fraction as well as the skin friction and local Nusselt and Sherwood numbers. The results indicate the existence of two real solutions for the shrinking sheet in the range of lambda(c) < lambda < 0. The fluid flow stability is maintained by increasing the magnetic field effect, whereas the porous medium parameter inflates the flow stability. It is also noted that both the skin friction coefficient and the local Sherwood number approximately decline with the intensification of thermal radiation within the range from 9.83% to 14% and the range from 48.86% to 78.66%, respectively. It is also evident in the present work that the local Nusselt number upsurges with the porous and suction/injection parameters.

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