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MHD boundary-layer flow of an upper-convected Maxwell fluid in a porous channel

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Abstract

Two-dimensional magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell fluid is investigated in a channel. The walls of the channel are taken as porous. Using the similarity transformations and boundary layer approximations, the nonlinear partial differential equations are reduced to an ordinary differential equation. The developed nonlinear equation is solved analytically using the homotopy analysis method. An expression for the analytic solution is derived in the form of a series. The convergence of the obtained series is shown. The effects of the Reynolds number Re, Deborah number De and Hartman number M are shown through graphs and discussed for both the suction and injection cases.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    Z. Abbas, M. Sajid & T. Hayat

  2. Physics Research Division, PINSTECH, P.O. Nilore, Islamabad, 44000, Pakistan

    M. Sajid

Authors
  1. Z. Abbas
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  2. M. Sajid
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  3. T. Hayat
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Correspondence to Z. Abbas.

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Communicated by R. Grimshaw

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Abbas, Z., Sajid, M. & Hayat, T. MHD boundary-layer flow of an upper-convected Maxwell fluid in a porous channel. Theor. Comput. Fluid Dyn. 20, 229–238 (2006). https://doi.org/10.1007/s00162-006-0025-y

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  • DOI: https://doi.org/10.1007/s00162-006-0025-y

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