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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0049

    • Keywords

       

      Computational fluid dynamics; instability; magnetohydrodynamics; Chebyshev collocation method; electrically conducting fluid

    • Abstract

       

      In this work, linear stability of an electrically conductive fluid experiencing Poiseuille flow for minimum Reynolds value under a normal magnetic field is analysed using the Chebyshev collocation method. The neutral curves of linear instability are derived by utilising Qualitat and Zuverlassigkeit (QZ) method. Instability of the magnetohydrodynamics for plane Poiseuille flowis introduced by solving the generalised Orr–Sommerfeld equation to determine the growth rates, wave number and spatial shapes of the eigenmodes. To solve linear problems, we use numerical methods which help us at each time step of the simulation, uncoupled by physical processes, which can improve the computational performance. This article provides the stability and error analysis, presents a concise study of the Poiseuille flow, and produces computational tests to support the given theory.

    • Author Affiliations

       

      ZAKIR HUSSAIN1 MEHBOOB ALI2 MUHAMMAD SHAHZAD2 FAISAL SULTAN2

      1. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan
      2. Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan
    • Dates

       
  • Pramana – Journal of Physics | News

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