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The effects of radiation on heat and mass transfer of magnetohydrodynamic Marangoni flow in the boundary layer over a disk

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Abstract

This study investigated the problem of radiation effects on the flow heat and mass transfer of magnetohydrodynamic steady laminar Marangoni convection in the boundary layer over a disk in the presence of a linear heat source and first-order chemical reactions. The governing partial differential equations of the disk model were established and transformed to a series of ordinary differential equations via suitable self-similar transformations, which were solved numerically by the shooting technique coupled with Runge-Kutta scheme and Newton’s method. The Marangoni number related to temperature and concentration was derived, the effects of the magnetic Hartmann number, Marangoni number, radiation number, heat source number and chemical reaction number related to velocity, temperature, and concentration profiles were analyzed. The results demonstrate that the Hartmann number and Marangoni number have significant impacts on the heat and mass transfer of the Marangoni boundary layer flow. The temperature tends to increase with heat generation and decrease with heat absorption, and it exhibits a delay phenomenon for significant heat generation cases. Negative/positive chemical reactions tended to increase/decrease the concentration, similar to the effect of heat generation/absorption on the temperature.

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Acknowledgements

Yanhai Lin was supported by the National Natural Science Foundations of China (Nos. 11702101 and 11626106), the Fundamental Research Funds for the Central Universities and the Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University (No. ZQN-PY502), the Natural Science Foundation of Fujian Province (No. 2019J05093) and Quanzhou High-Level Talents Support Plan. Meng Yang was supported by the Subsidized Project for Postgraduates’ Innovative Fund in Scientific Research of Huaqiao University.

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  1. Fujian Province University Key Laboratory of Computation Science and School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, P.R. China

    Yanhai Lin & Meng Yang

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  1. Yanhai Lin
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  2. Meng Yang
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Correspondence to Yanhai Lin.

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Lin, Y., Yang, M. The effects of radiation on heat and mass transfer of magnetohydrodynamic Marangoni flow in the boundary layer over a disk. Korean J. Chem. Eng. 37, 37–45 (2020). https://doi.org/10.1007/s11814-019-0416-6

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  • DOI: https://doi.org/10.1007/s11814-019-0416-6

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