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

Author

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  • Feleke Buta Tadesse
  • Oluwole Daniel Makinde
  • Lemi Guta Enyadene

Abstract

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 . 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.

Suggested Citation

  • Feleke Buta Tadesse & Oluwole Daniel Makinde & Lemi Guta Enyadene, 2021. "Mixed Convection of a Radiating Magnetic Nanofluid past a Heated Permeable Stretching/Shrinking Sheet in a Porous Medium," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-21, June.
  • Handle: RePEc:hin:jnlmpe:6696748
    DOI: 10.1155/2021/6696748
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    Cited by:

    1. Rusya Iryanti Yahaya & Norihan Md Arifin & Ioan Pop & Fadzilah Md Ali & Siti Suzilliana Putri Mohamed Isa, 2023. "Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect," Mathematics, MDPI, vol. 11(1), pages 1-20, January.

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