An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet
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Date
2017
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Abstract
In this paper, we investigate the theoretical analysis for the unsteady magnetohydrodynamic laminar boundary layer flow due to impulsively stretching sheet. The third-order highly nonlinear partial differential equation modeling the unsteady boundary layer flow brought on by an impulsively stretching flat sheet was solved by applying Adomian decomposition method and Pade approximants. The exact analytical solution so obtained is in terms of rapidly converging power series and each of the variants are easily computable. Variations in parameters such as mass transfer (suction/injection) and Chandrasekhar number on the velocity are observed by plotting the graphs. This particular problem is technically sound and has got applications in expulsion process and related process in fluid dynamics problems.
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Keywords
Viscous Fluid, Nonlinear Differential Equations, ADM, Pade Approximants, Mass Transfer, Chandrasekhar Number
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Citation
Mahabaleshwar, U. S...et al. (2017). "An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet", Continuum Mechanics and Thermodynamics, Vol. 29, no. 2, pp. 559-567.
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Continuum Mechanics and Thermodynamics
Volume
29
Issue
2
Start Page
559
End Page
567