An optimised stability model for the magnetohydrodynamic fluid
ZAKIR HUSSAIN RAJA ZEESAHAN MUHAMMAD SHAHZAD MEHBOOB ALI FAISAL SULTAN AHMED M ANTER HUISHENG ZHANG NAZAR KHAN
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Magnetohydrodynamics (MHD) is a very challenging problem which affects the stability of Poiseuille flow. Therefore, in this work we investigate the instability of an electrically conductive fluid between two parallel plates under the influence of a transverse magnetic field. We apply the Chebyshev collocation method to solve the generalised Orr–Summerfield equations to determine wave number, growth rates and spatial modes of the eigenmodes. To get the neutral curves of MHD instability, the QZ method is used. It is observed that the magnetic field has a stabilising effect on the flow and the stability increases as we increase the Hartmann number and for various wave numbers, magnetic field put down the growth of perturbation. It is concluded that effect of perturbations is little in span-wise direction for different Hartmann numbers that increase the critical values of Reynolds numbers.
ZAKIR HUSSAIN1 2 RAJA ZEESAHAN1 MUHAMMAD SHAHZAD3 MEHBOOB ALI3 4 FAISAL SULTAN3 4 AHMED M ANTER2 5 HUISHENG ZHANG2 NAZAR KHAN6
Volume 97, 2023
Continuous Article Publishing mode
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