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 - Tập 29 - Trang 559-567 - 2016
U. S. Mahabaleshwar1, K. R. Nagaraju2, P. N. Vinay Kumar3, Dumitru Baleanu4,5, Giulio Lorenzini6
1Faculty of Mathematics, Government First Grade College for Women, Hassan, India
2Department of Mathematics, Government Engineering College, Hassan, India
3Faculty of Mathematics, SHDD Government First Grade College, Paduvalahippe, Hassan, India
4Department of Mathematics, Faculty of Art and Science, Ankaya University, Balgat, Ankara, Turkey
5Institute of Space Science, Magurele, Bucharest, Romania
6Department of Industrial Engineering, University of Parma, Parma, Italy

Tóm tắt

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.

Tài liệu tham khảo

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