MHD Flows of Second Grade Fluid Through the Moving Porous Cylindrical Domain

Authors

  • Muhammad Jamil Department of Mathematics, NED University of Engineering & Technology, Karachi-75270, Pakistan.
  • Muhammad Zafarullah

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3426

Keywords:

Second grade fluid, MHD flows, velocity field, time-dependent shear stresses, Hankel transform.

Abstract

The flows of Magnetohydrodynamics(MHD) second grade fluid between two infinite porous coaxial circular cylinders are studied. At time t=0^+, the inner cylinder begins to rotate around its axis and to slide along the same axis due to torsional and longitudinal time dependent shear stresses and the outer cylinder is also rotate around its axis and to slide along the same axis with acceleration. The exact solutions obtained with the help of discrete Laplace and finite Hankel transform, satisfy all imposed initial and boundary conditions. The solution presented in convolution product of Laplace transform . The corresponding solutions for second grade and Newtonian fluids are also obtained as limiting cases with and without MHD effect. Finally, the influence of pertinent parameters on the velocity components and shear stresses, as well as a comparison among, second grade and Newtonian fluids with and without MHD  is also analyzed by graphical illustrations.

Author Biography

  • Muhammad Jamil, Department of Mathematics, NED University of Engineering & Technology, Karachi-75270, Pakistan.

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Published

2019-07-25

Issue

Vol. 12 No. 3: (July 2019)

Section

Nonlinear Analysis

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How to Cite

MHD Flows of Second Grade Fluid Through the Moving Porous Cylindrical Domain. (2019). European Journal of Pure and Applied Mathematics, 12(3), 1149-1175. https://doi.org/10.29020/nybg.ejpam.v12i3.3426