Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (9): 1247-1258.doi: https://doi.org/10.1007/s10483-021-2770-9

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Dynamics of Sutterby fluid flow due to a spinning stretching disk with non-Fourier/Fick heat and mass flux models

F. MABOOD1, J. MACKOLIL2, B. MAHANTHESH2, A. RAUF3, S. A. SHEHZAD3   

  1. 1. Department of Information Technology, Fanshawe College London, ON N5Y 5R6, Canada;
    2. Department of Mathematics, CHRIST(Deemed to be University), Bangalore 560029, India;
    3. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
  • Received:2021-05-23 Revised:2021-07-14 Published:2021-09-07
  • Contact: A. RAUF, E-mail:raufamar@cuisahiwal.edu.pk

Abstract: The magnetohydrodynamic Sutterby fluid flow instigated by a spinning stretchable disk is modeled in this study. The Stefan blowing and heat and mass flux aspects are incorporated in the thermal phenomenon. The conventional models for heat and mass flux, i.e., Fourier and Fick models, are modified using the Cattaneo-Christov (CC) model for the more accurate modeling of the process. The boundary layer equations that govern this problem are solved using the apt similarity variables. The subsequent system of equations is tackled by the Runge-Kutta-Fehlberg (RKF) scheme. The graphical visualizations of the results are discussed with the physical significance. The rates of mass and heat transmission are evaluated for the augmentation in the pertinent parameters. The Stefan blowing leads to more species diffusion which in turn increases the concentration field of the fluid. The external magnetism is observed to decrease the velocity field. Also, more thermal relaxation leads to a lower thermal field which is due to the increased time required to transfer the heat among fluid particles. The heat transport is enhanced by the stretching of the rotating disk.

Key words: Sutterby fluid, Stefan blowing, Cattaneo-Christov (CC) theory, magnetic field, rotating stretching disk

2010 MSC Number: 

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