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Peristaltic flow of couple stress fluid through uniform porous medium

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Abstract

Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical analysis is presented through large wavelength and low Reynolds number. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, and stream function are calculated as a function of couple stress parameter. The essential feature of the analysis is a full description of influence of couple stress parameter and permeability parameter on the pressure, frictional force, mechanical efficiency, and trapping.

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Authors and Affiliations

  1. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    A. Alsaedi & T. Hayat

  2. Department of Mathematics & Statistics International Islamic University, Islamabad, 44000, Pakistan

    N. Ali

  3. Department of Applied Mathematics, IT-BHU, Varanasi, 221005, India

    D. Tripathi

  4. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    T. Hayat

Authors
  1. A. Alsaedi
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  2. N. Ali
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  3. D. Tripathi
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  4. T. Hayat
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Corresponding author

Correspondence to T. Hayat.

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Alsaedi, A., Ali, N., Tripathi, D. et al. Peristaltic flow of couple stress fluid through uniform porous medium. Appl. Math. Mech.-Engl. Ed. 35, 469–480 (2014). https://doi.org/10.1007/s10483-014-1805-8

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  • DOI: https://doi.org/10.1007/s10483-014-1805-8

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