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Effects of Wall Shear Stress on MHD Conjugate Flow over an Inclined Plate in a Porous Medium with Ramped Wall Temperature

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  • Arshad Khan
  • Ilyas Khan
  • Farhad Ali
  • Sharidan Shafie

Abstract

This study investigates the effects of an arbitrary wall shear stress on unsteady magnetohydrodynamic (MHD) flow of a Newtonian fluid with conjugate effects of heat and mass transfer. The fluid is considered in a porous medium over an inclined plate with ramped temperature. The influence of thermal radiation in the energy equations is also considered. The coupled partial differential equations governing the flow are solved by using the Laplace transform technique. Exact solutions for velocity and temperature in case of both ramped and constant wall temperature as well as for concentration fields are obtained. It is found that velocity solutions are more general and can produce a huge number of exact solutions correlative to various fluid motions. Graphical results are provided for various embedded flow parameters and discussed in detail.

Suggested Citation

  • Arshad Khan & Ilyas Khan & Farhad Ali & Sharidan Shafie, 2014. "Effects of Wall Shear Stress on MHD Conjugate Flow over an Inclined Plate in a Porous Medium with Ramped Wall Temperature," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-15, April.
    • Handle: RePEc:hin:jnlmpe:861708
    DOI: 10.1155/2014/861708
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    Cited by:

    1. Mazhar Hussain Tiwana & Amer Bilal Mann & Muhammad Rizwan & Khadija Maqbool & Shumaila Javeed & Saqlain Raza & Mansoor Shaukat Khan, 2019. "Unsteady Magnetohydrodynamic Convective Fluid Flow of Oldroyd-B Model Considering Ramped Wall Temperature and Ramped Wall Velocity," Mathematics, MDPI, vol. 7(8), pages 1-14, July.

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