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Homotopy analysis of Couette and Poiseuille flows for fourth grade fluids

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Summary

The steady flow of a fluid, called a fourth grade fluid, between two parallel plates is considered. Depending upon the relative motion of the plates we analyze four types of flows: Couette flow, plug flow, Poiseuille flow and generalized Couette flow. In each case, the nonlinear differential equation describing the velocity field is solved using perturbation technique and homotopy analysis method. The pressure distribution is also found. It is observed that the homotopy analysis method is more efficient and flexible than the perturbation technique.

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Authors and Affiliations

  1. Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA, 17403, U.S.A

    A. M. Siddiqui

  2. Department of Mathematics, COMSATS Institute of Information Technology, H-8/I, Islamabad, Pakistan

    M. Ahmed, S. Islam & Q. K. Ghori

Authors
  1. A. M. Siddiqui
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  2. M. Ahmed
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  3. S. Islam
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  4. Q. K. Ghori
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Corresponding author

Correspondence to M. Ahmed.

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Siddiqui, A.M., Ahmed, M., Islam, S. et al. Homotopy analysis of Couette and Poiseuille flows for fourth grade fluids. Acta Mechanica 180, 117–132 (2005). https://doi.org/10.1007/s00707-005-0260-0

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  • DOI: https://doi.org/10.1007/s00707-005-0260-0

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