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Numerical solutions of a time-dependent hydromagnetic micropolar dusty fluid between parallel plates through an inclined channel

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Abstract

Numerical simulation of an incompressible micropolar dusty fluid (fluid–particle suspension) is proposed for three types of flows in the inclined channel, i.e., Poiseuille flow, Couette flow and the generalised Couette flow. Although the fluid flow is time-dependent, hydromagnetic and channel walls are parallel to each other. The governing coupled partial differential equations for the flow of non-Newtonian micropolar dusty fluid are formulated in a Cartesian coordinate system and simulated approximately using a modified cubic B-spline differential quadrature method. The effects of ion slip, Hall current, Reynolds number, micropolar material and other important hydrodynamic fluid parameters have been examined on unsteady flow velocity and microrotation characteristics. It is observed that the linear velocity of the fluid and particle rises from the horizontal to the vertical channel, fluids and particle velocities are reduced with increasing Hartmann numbers, whereas they are elevated with increment in the Hall parameter. Findings of the present model can be helpful in various industrial fluid flow applications, particularly in petroleum industries.

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Authors and Affiliations

  1. Department of Mathematics, Lovely Professional University, Jalandhar, 144 402, India

    Rajesh Kumar Chandrawat & Varun Joshi

  2. Department of Mathematics, National Institute of Technology, Srinagar, 246 174, India

    Dharmendra Tripathi

  3. Department of Mathematics, Kabul University, Kabul, Afghanistan

    Sadia Sadat

Authors
  1. Rajesh Kumar Chandrawat
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  2. Varun Joshi
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  3. Dharmendra Tripathi
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  4. Sadia Sadat
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Correspondence to Dharmendra Tripathi.

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Chandrawat, R.K., Joshi, V., Tripathi, D. et al. Numerical solutions of a time-dependent hydromagnetic micropolar dusty fluid between parallel plates through an inclined channel. Pramana - J Phys 97, 24 (2023). https://doi.org/10.1007/s12043-022-02464-2

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