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Hall and Ion-slip current effects on steady fluid flow through a rotating curved square duct with magnetic field

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Abstract

This study is the numerical prediction of two-dimensional fully developed steady viscous incompressible flow through a rotating curved duct ranges from 0.01 to 0.5 with a square cross-section in the presence of the magnetic field, hall, and Ion-slip currents. The calculations are carried out numerically using the spectral method as the primary tool. In contrast, the Newton–Raphson, Chebyshev polynomial, Collocation, and arc-length methods are used as secondary tools. Dean Number (pressure gradient force) is applied in the direction of the axial flow. The rotation of the duct is shown within the range of Taylor number \(- 5000 \le T_{r} \le 5000\) at Dean Number \(D_{n} = 500\) and aspect ratio \(\,l = 1\). The effects of Dean Number have been investigated in wide ranges \(0 \le D_{n} \le 6000\) while Taylor number is fixed at \(\,T_{r} = 10\). The revealed streamlines of the secondary flow and contour lines of axial flow are illustrated and briefly explained their behavior for various values of magnetic, Hall and Ion-slip parameter on the flow characteristics at a particular two cases of Dean Numbers; Case-I:\(D_{n} = 500\) and Case-II:\(D_{n} = 1000.\)

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the figures are shown by using numerical data in this paper. These data are supported to prepare the results of this study, and all the data included in the manuscript are available upon request by contacting with the corresponding author.]

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh

    Md. Rafiqul Islam & Md. Abdus Samad

  2. Mathematics Discipline, Khulna University, Khulna, 9208, Bangladesh

    Md. Mahmud Alam

  3. Department of Mathematics (On Study Leave), BSMRSTU, Gopalganj, 8100, Bangladesh

    Md. Rafiqul Islam

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  1. Md. Rafiqul Islam
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  2. Md. Abdus Samad
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  3. Md. Mahmud Alam
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Correspondence to Md. Rafiqul Islam.

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Islam, M.R., Samad, M.A. & Alam, M.M. Hall and Ion-slip current effects on steady fluid flow through a rotating curved square duct with magnetic field. Eur. Phys. J. Plus 136, 1204 (2021). https://doi.org/10.1140/epjp/s13360-021-02130-3

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