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FINITE ELEMENT SIMULATION OF NONLINEAR MAGNETO-MICROPOLAR STAGNATION POINT FLOW FROM A POROUS STRETCHING SHEET WITH PRESCRIBED SKIN FRICTION

卷 7, 册 1, 2015, pp. 1-14
DOI: 10.1615/ComputThermalScien.2014011545
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摘要

A mathematical model is developed for the steady magnetohydrodynamic stagnation point thermoconvective boundary layer flow of micropolar fluid over a stretching sheet. An isothermal surface stretched with constant skin friction is considered. A uniform magnetic field is applied perpendicular to the porous stretching sheet. Using similarity transformations, the governing partial differential equations are normalized to a system of nonlinear ordinary differential equations, which are solved numerically with a variational finite element method. The influence of the key physical parameters, namely, buoyancy parameter, magnetic parameter, and transpiration parameter, on the evolution of velocity, microrotation (angular velocity), and temperature function are presented graphically. The local Nusselt number has also been computed for these parameters. Under the limiting cases, the results obtained by using the finite element method are compared with the numerical results available from the literature and excellent correlation is demonstrated. Furthermore, to verify the convergence of the finite element method (FEM) numerical solutions, calculations are conducted with increasing numbers of elements. The study finds applications in magnetic materials processing.

对本文的引用
  1. Bég O.A., Ferdows M., Bég E.T.A., Ahmed T., Wahiduzzaman M., M. Alam Md., Numerical investigation of radiative optically-dense transient magnetized reactive transport phenomena with cross diffusion, dissipation and wall mass flux effects, Journal of the Taiwan Institute of Chemical Engineers, 66, 2016. Crossref

  2. Mehmood Rashid, Rana S., Anwar Bég O., Kadir Ali, Numerical study of chemical reaction effects in magnetohydrodynamic Oldroyd-B: oblique stagnation flow with a non-Fourier heat flux model, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40, 11, 2018. Crossref

  3. Uddin MJ, Kabir MN, Bég O Anwar, Alginahi Y, Chebyshev collocation computation of magneto-bioconvection nanofluid flow over a wedge with multiple slips and magnetic induction, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems, 232, 4, 2018. Crossref

  4. Rahman M. A., Uddin M. J., Bég O. Anwar, Kadir Ali, Influence of variable viscosity and thermal conductivity, hydrodynamic, and thermal slips on magnetohydrodynamic micropolar flow: A numerical study , Heat Transfer-Asian Research, 48, 8, 2019. Crossref

  5. Bhatti Muhammad Mubashir, Ullah Khan Sami, Anwar Bég O., Kadir A., Differential transform solution for Hall and ion‐slip effects on radiative‐convective Casson flow from a stretching sheet with convective heating, Heat Transfer, 49, 2, 2020. Crossref

  6. Anwar Beg O., Ferdows M., Karim M. Enamul, Hasan M. Maruf, Bég T. A., Shamshuddin M. D., Kadir A., Computation of Non-isothermal Thermo-convective Micropolar Fluid Dynamics in a Hall MHD Generator System with Non-linear Distending Wall, International Journal of Applied and Computational Mathematics, 6, 2, 2020. Crossref

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