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Heat sink/source impact on Williamson liquid flow over a stretching cylinder with modified Fourier and Fick’s law

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Abstract

The current study theoretically analyzes the magnetohydrodynamic Williamson fluid flow along with convective boundary conditions over a stretching cylinder. The modified Fourier’s and modified Fick’s law is considered in view of the response of heat and mass transfer. The effect of heat generation/absorption is also considered. With the suitable similarity transformations, the flow equations are converted into dimensionless ordinary differential equations. Runge–Kutta method is used to solve the current problem numerically by adopting shooting scheme. Influences of various physical parameters on the flow fields are shown graphically and skin friction parameter, local Nusselt and Sherwood numbers are presented in tabular form. To verify the accuracy of our numerical results in light of previous results, a comparison table has been generated. The results revealed that the velocity of fluid increases by increasing curvature parameter while decreases for magnetic parameter and Williamson fluid parameter. The temperature and concentration profiles rises due to increase in heat and mass Biot number parameters.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, International Islamic University, Islamabad, 44000, Pakistan

    A. A. Khan & S. Mir

  2. Informatics Complex, H-8, Islamabad, 44000, Pakistan

    A. Zaman

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  1. A. A. Khan
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  2. S. Mir
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  3. A. Zaman
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Correspondence to A. Zaman.

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Khan, A.A., Mir, S. & Zaman, A. Heat sink/source impact on Williamson liquid flow over a stretching cylinder with modified Fourier and Fick’s law. Soft Comput 28, 4791–4798 (2024). https://doi.org/10.1007/s00500-023-09160-2

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