Study of couple stresses on MHD Poiseuille flow through a porous medium past an accelerated plate ∗

Authors

  • Raj Shekhar Prasad Department of Mathematics, Government Engineering College, Buxar, Bihar, India.
  • Rajnish Kumar Department of Mathematics, Birla Institute of Technology (Mesra), Patna Campus, Patna-14, Bihar, India.
  • B G Prasad Department of Mathematics, Patna University, Patna-4, Bihar, India.

DOI:

https://doi.org/10.48165/

Keywords:

Couple stress, MHD, porous medium, accelerated plate

Abstract

In this paper, we discuss an analytical study of the unsteady MHD flow of an incompressible electrically conducting couple stress fluid in the presence of porous medium between two parallel plates when the lower plate is accelerating while the upper plate is at rest, taking into account the pulsation of the pressure gradient effect and under the influence of a uniform magnetic field of strength B0. The solution to the problem is obtained with the help of the perturbation technique. Analytical expressions are given for the velocity field, the shear stresses on the boundaries and the discharge between the plates and the effects of the various governing parameters entering into the problem are reported graphically to depict the interesting aspects of the solution.

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Published

2021-06-30

How to Cite

Prasad, R.S., Kumar, R., & Prasad, B.G. (2021). Study of couple stresses on MHD Poiseuille flow through a porous medium past an accelerated plate ∗ . Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 40(1), 45–59. https://doi.org/10.48165/