An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet

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 stretchin...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2017-03, Vol.29 (2), p.559-567
Main Authors: Mahabaleshwar, U. S., Nagaraju, K. R., Vinay Kumar, P. N., Baleanu, Dumitru, Lorenzini, Giulio
Format: Article
Language:English
Subjects:
Boundary layers
Classical and Continuum Physics
Computational fluid dynamics
Differential equations
Engineering Thermodynamics
Fluid dynamics
Heat and Mass Transfer
Hydrodynamics
Hydrologic sciences
Laminar boundary layer
Linear equations
Magnetism
Magnetohydrodynamics
Mass transfer
Mathematical analysis
Mathematical models
Nonlinear equations
Original Article
Physics
Physics and Astronomy
Plastics stretching
Sheets
Stretching
Structural Materials
Theoretical analysis
Theoretical and Applied Mechanics
Unsteady
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Summary: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.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-016-0543-9