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Propagation of velocity profile of unsteady magnetohydrodynamics flow between two orthogonal moving porous discs

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Abstract

The impact of laminar, incompressible, two-dimensional magnetohydrodynamics flow influenced by a magnetic field between two orthogonal moving porous plates has been investigated. The governing model is modified using the similarity transformation to turn it into an ordinary differential equation nonlinear problem. Earlier this problem has been dealt via various numerical techniques, while we have developed analytical solution using extended direct algebraic approach. Furthermore, the obtained equation is utilized to compute the different forms of velocity profile, while the influence of Hartmann number on fluid flow and heat transmission is also examined. It is observed that Hartmann number causes to accelerate or de-accelerate the fluid movement. Moreover, for larger values of Hartmann number the velocity shows the decreasing trends, while it depicts the increasing behavior for lower Hartmann values. The parabolic behavior has been observed by making a plot between Hartmann number and solution in which the other parametric values are assigned some fix value. It portrays the relationship between Hartmann and velocity of the fluid flow, which could be beneficial in several important phenomena such as accelerators, heat exchanger architecture, reactor cooling, droplets and high static electricity filtersand.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Tahira Jamal & Malik Zawwar Hussain

  2. Department of Mathematics, Namal University, Talagang Road, Mianwali, 42250, Pakistan

    Adil Jhangeer

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  1. Tahira Jamal
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Correspondence to Adil Jhangeer.

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Jamal, T., Jhangeer, A. & Hussain, M.Z. Propagation of velocity profile of unsteady magnetohydrodynamics flow between two orthogonal moving porous discs. Eur. Phys. J. Plus 138, 403 (2023). https://doi.org/10.1140/epjp/s13360-023-04019-9

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