Exact solution for couple stress fluid flow past a fluid sphere embedded in a porous medium with slip condition

Authors

  • M. Phani Kumar Department of Mathematics, School of Advanced Sciences, VIT-AP University
  • Naga Lakshmi Department of Mathematics, Institute of Aeronautical Engineering
  • Vijaya Lakshmi Department of Mathematics, DVR & Dr. HS MIC College of Technology

DOI:

https://doi.org/10.3329/jname.v21i1.69683

Keywords:

viscous fluid, couple stress fluid (CSF), stream function, porous medium, slip condition, drag force

Abstract

In this paper, using interfacial slip on the boundary, the exact solution is obtained for the Stokes flow through a couple stress fluid sphere which is embedded (implanted) in a porous medium. Analytical computations are derived for the stream functions and drag. For the drag force, special conditions are deduced that satisfy the literature's facts. Graphs are created and the numerical results are tabulated. It is noticed that in the external viscous fluid case the porosity parameter and the drag coefficient are directly correlated and for the external couple stress fluid case with raises in slip parameter the coefficient of drag reduces.

Journal of Naval Architecture and Marine Engineering, 21 (1), 2024, pp. 41–50

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Author Biographies

Naga Lakshmi, Department of Mathematics, Institute of Aeronautical Engineering

Department of Mathematics  ,   Assistant Professor

Vijaya Lakshmi, Department of Mathematics, DVR & Dr. HS MIC College of Technology

Department of Mathematics , Assistant Professor

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Published

29.06.2024

How to Cite

Kumar , M. P. ., Parasa, D. N. L. D., & Kunche, D. V. lakshmi . (2024). Exact solution for couple stress fluid flow past a fluid sphere embedded in a porous medium with slip condition. Journal of Naval Architecture and Marine Engineering, 21(1), 41–50. https://doi.org/10.3329/jname.v21i1.69683

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