Ion-Slip Effects on Bingham Fluid Flowing Through an Oscillatory Porous Plate with Suction

Md Tusher Mollah*, Henrik K. Rasmussen, Saykat Poddar, Muhammad Minarul Islam, Mehetaj Parvine, Md Mahmud Alam, Giulio Lorenzini*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

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Abstract

This paper investigates the remarkable effects for introducing the Ion-slip characteristics in the magnetohydrodynamic phenomena on the drift of Bingham fluid when flowing through the inner territory of two porous parallel plates in correspondence with the suction case. The lower plate (L-plate) is as steady while the upper one (U-plate) is oscillatory, which oscillates in its own plane at time t>0. A magnetic field, which is uniform, is affixed perpendicular to the plates. The U-plate temperature oscillates while the L-plate temperature is constant. Numerical performance is presented by the MATLAB R2015a simulation tool with the explicit Finite difference Method (FDM) algorithm. To ensure the preciseness and convergence of the solutions, careful attention has been given on the criteria of stability and convergence of the FDM schemes. As an outcome, the converged solution is obtained for Pr ≥ 0.066, βi ≥ 2, Ha ≤ 20, h ≤ 8, S ≥ −10 and Re ≤ −0.017 with the arbitrary choice of βe = 0.10 and Ec = 0.01. The mesh sensibility test gives the competent mesh space at (m,n)=(60,60). The time sensibility test ensures that the solutions at dimensionless time, τ=2.0 will be steady-state. The exactitude of the current study is obtained by comparing with the published results. Finally, the physical influences of several governing parameters, including Ionslip on the fluid property like velocity, local shear stress, temperature and Nusselt number are discussed and decorated graphically.
Original languageEnglish
JournalMathematical Modelling of Engineering Problems
Volume8
Issue number5
Pages (from-to)673-681
ISSN2369-0747
DOIs
Publication statusPublished - 2021

Keywords

  • Bingham fluid
  • Finite difference method
  • Heat transfer
  • MHD
  • Oscillatory porous plate
  • Suction

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