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Three-Dimensional Hydro-Magnetic Flow Arising in a Long Porous Slider and a Circular Porous Slider with Velocity Slip

Author

Listed:
  • Naeem Faraz

    (International Cultural Exchange School (ICES), Donghua University, West Yan’an Road 1882, Shanghai 200051, China)

  • Yasir Khan

    (Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia)

  • Amna Anjum

    (International Cultural Exchange School (ICES), Donghua University, West Yan’an Road 1882, Shanghai 200051, China
    Glorious Sun School of Business and Management, Donghua University, West Yan’an Road 1882, Shanghai 200051, China)

  • Muhammad Kahshan

    (Faculty of Science, Jiangsu University, Zhenjiang 212013, China
    Department of Mathematics, COMSATS University Islamabad, Abbottabad 22060, Pakistan)

Abstract

The current research explores the injection of a viscous fluid through a moving flat plate with a transverse uniform magneto-hydrodynamic (MHD) flow field to reduce sliding drag. Two cases of velocity slip between the slider and the ground are studied: a long slider and a circular slider. Solving the porous slider problem is applicable to fluid-cushioned porous sliders, which are useful in reducing the frictional resistance of moving bodies. By using a similarity transformation, three dimensional Navier–Stokes equations are converted into coupled nonlinear ordinary differential equations. The resulting nonlinear boundary value problem was solved analytically using the homotopy analysis method (HAM). The HAM provided a fast convergent series solution, showing that this method is efficient, accurate, and has many advantages over the other existing methods. Solutions were obtained for the different values of Reynolds numbers (R), velocity slip, and magnetic fields. It was found that surface slip and Reynolds number had substantial influence on the lift and drag of the long and the circular sliders. Moreover, the effects of the applied magnetic field on the velocity components, load-carrying capacity, and friction force are discussed in detail with the aid of graphs and tables.

Suggested Citation

  • Naeem Faraz & Yasir Khan & Amna Anjum & Muhammad Kahshan, 2019. "Three-Dimensional Hydro-Magnetic Flow Arising in a Long Porous Slider and a Circular Porous Slider with Velocity Slip," Mathematics, MDPI, vol. 7(8), pages 1-23, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:748-:d:258191
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    References listed on IDEAS

    as
    1. Mohammad Ghoreishi & Ahmad Izani B. Md. Ismail & Abdur Rashid, 2012. "The One Step Optimal Homotopy Analysis Method to Circular Porous Slider," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, December.
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    Cited by:

    1. Umair Khan & Aurang Zaib & Ilyas Khan & Kottakkaran Sooppy Nisar & Dumitru Baleanu, 2019. "Insights into the Stability of Mixed Convective Darcy–Forchheimer Flows of Cross Liquids from a Vertical Plate with Consideration of the Significant Impact of Velocity and Thermal Slip Conditions," Mathematics, MDPI, vol. 8(1), pages 1-20, December.

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