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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Druckformat: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2014011545
pages 1-14

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

Diksha Gupta
Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida-201307, Uttar Pradesh, India
Lokendra Kumar
Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida-201307, Uttar Pradesh, India
Osman Anwar Beg
Gort Engovation-Aerospace, Medical and Energy Engineering, Gabriel's Wing House, 15 Southmere Avenue, Bradford, BD73NU, United Kingdom; Fluid Mechanics, Department of Mechanical and Aeronautical Engineering, Salford University, M54WT, England, United Kingdom
Bani Singh
Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida-201307, Uttar Pradesh, India

ABSTRAKT

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.


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