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HYDROMAGNETIC FLOW NEAR A NON-UNIFORM ACCELERATING PLATE IN THE PRESENCE OF MAGNETIC FIELD THROUGH POROUS MEDIUM

Volume 18, Issue 8, 2015, pp. 801-809
DOI: 10.1615/JPorMedia.v18.i8.50
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ABSTRACT

New exact solutions for unsteady magnetohydrodynamic (MHD) flows of a generalized second-grade fluid near a non-uniform accelerating plate have been derived. The generalized second-grade fluid saturates the porous space. Fractional derivative is used in the governing equation. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique for the fractional calculus. The obtained solutions are expressed in series form in terms of Fox H-functions. Similar solutions for ordinary second-grade fluid passing through a porous space are also recovered. Moreover, several figures are sketched for the pertinent parameters to analyze the characteristics of velocity field and shear stress.

CITED BY
  1. Riaz M.B., Imran M.A., Shabbir K., Analytic solutions of Oldroyd-B fluid with fractional derivatives in a circular duct that applies a constant couple, Alexandria Engineering Journal, 55, 4, 2016. Crossref

  2. Khan Amir, Zaman Gul, Li Yongjin, Ahmad Saeed, Hussain Altaf, The Oscillatory Motion of Oldroyd-B Fluid by Incorporating Some of the Mechanical Factors, Journal of Applied Mathematics and Physics, 05, 12, 2017. Crossref

  3. Sreedevi P., Reddy P. Sudarsana, Chamkha Ali. J., Magneto-hydrodynamics heat and mass transfer analysis of single and multi-wall carbon nanotubes over vertical cone with convective boundary condition, International Journal of Mechanical Sciences, 135, 2018. Crossref

  4. Khan Amir, Zaman Gul, Ahmad Saeed, Chohan M. Ikhlaq, Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform, American Journal of Computational Mathematics, 07, 04, 2017. Crossref

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