A new numerical simulation of MHD stagnation-point flow over a permeable stretching/shrinking sheet in porous media with heat transfer. (English) Zbl 1391.76509
Summary: In this article, a new numerical method is employed to solve the stagnation-point flow problem over a permeable stretching/shrinking sheet through porous media. The effects of magnetohydrodynamics (MHD) and heat transfer are also taken into account. The governing flow problem is based on momentum equation and energy equation which are further simplified with the help of similarity transformations. The reduced resulting highly non-linear coupled ordinary differential equations are solved using the successive linearization method (SLM) and Chebyshev spectral collocation method. The impact of the physical parameters of interest is sketched for velocity and temperature profiles. The numerical comparison is also presented with the existing literature which shows that the present results are in good agreement and also confirms the validity of SLM for the present problem.
MSC:
| 76M22 | Spectral methods applied to problems in fluid mechanics |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 76S05 | Flows in porous media; filtration; seepage |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
successive linearization method; Chebyshev spectral collocation method; heat transfer; MHD; porous mediaReferences:
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