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Three-dimensional flow of a magnetohydrodynamic Casson fluid over an unsteady stretching sheet embedded into a porous medium

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Abstract

A three-dimensional flow of a magnetohydrodynamic Casson fluid over an unsteady stretching surface placed into a porous medium is examined. Similarity transformations are used to convert time-dependent partial differential equations into nonlinear ordinary differential equations. The transformed equations are then solved analytically by the homotopy analysis method and numerically by the shooting technique combined with the Runge–Kutta–Fehlberg method. The results obtained by both methods are compared with available reported data. The effects of the Casson fluid parameter, magnetic field parameter, and unsteadiness parameter on the velocity and local skin friction coefficients are discussed in detail.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan

    A. S. Butt, M. N. Tufail & Asif Ali

  2. Department of Mathematics and Natural Sciences, Prince Muhammad Bin Fahd University, Al Khobar, 31952, Saudi Arabia

    M. N. Tufail & Asif Ali

Authors
  1. A. S. Butt
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  2. M. N. Tufail
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  3. Asif Ali
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Correspondence to A. S. Butt.

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 2, pp. 105–116, March–April, 2016.

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Butt, A.S., Tufail, M.N. & Ali, A. Three-dimensional flow of a magnetohydrodynamic Casson fluid over an unsteady stretching sheet embedded into a porous medium. J Appl Mech Tech Phy 57, 283–292 (2016). https://doi.org/10.1134/S0021894416020115

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  • DOI: https://doi.org/10.1134/S0021894416020115

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