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Non-perturbative solution for hydromagnetic flow over a linearly stretching sheet

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Języki publikacji
EN
Abstrakty
EN
In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field. A closed form power series solution based on Adomian polynomials is obtained for the similarity nonlinear ordinary differential equation modelling the problem. In order to satisfy the farfield condition, the Adomian power series is converted to diagonal Padé approximants and evaluated. The results obtained using ADM-Padé are remarkably accurate compared with the numerical results. The proposed technique can be easily employed to solve a wide range of nonlinear boundary value problems.
Rocznik
Strony
935--943
Opis fizyczny
Bibliogr. 15 poz., tab., wykr.
Twórcy
  • nstitute for Advance Research in Mathematical Modelling and Computations Cape Peninsula University of Technology P. O. Box 1906, Bellville 7535, South Africa
  • Department of Mathematics, Government First Grade College for Women Hassan, Karnataka state – 573 201, India
  • Department of Mathematics Rani Channamma University Belagavi- 591 156, Karnataka state – 571 105, India
Bibliografia
  • Adomian G. (1994): The Decomposition Method. – Solving Frontier Problems of Physics Kluwer, Boston, MA.
  • Ahmed A. and Asghar S. (2011): Flow of a second grade fluid over a sheet stretching with arbitrary velocities subject to a transverse magnetic field. – Appl. Math. Letts., vol.24, pp.1905-1909.
  • Andersson H.I., Bech K.H. and Dandapat B.S. (1992): Magnetohydrodynamic flow of a power law fluid over a stretching sheet. – Int. J. Nonlinear Mech., vol.27 pp.929-936.
  • Crane L.J. (1984): Flow past a stretching plate. – Zeitschrift Fur Angewandte Mathematik und Physik, vol.7, pp.21-28.
  • Kechil S.A. and Hashim I. (2007): Non-perturbative solution of free- convective boundary-layer equation by Adomian decomposition method. – Phys. Lett. A, vol.363, pp.110–114.
  • Mahapatra T.R., Nandy S.K. and Gupta A.S. (2009): Magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface. – Vol.44, pp.124-129.
  • Makinde O.D. and Charles W.M. (2010): Computational dynamics of hydromagnetic stagnation flow towards a stretching sheet. – Appl. Comput. Math., vol.9, No.2, pp.243-251.
  • Makinde O.D. and Moitsheki R.J. (2008): On non-perturbative techniques for thermal radiation effect on natural convection past a vertical plate embedded in a saturated porous medium. – Mathematical Problems in Engineering, vol. 2008, pp.689074 (11).
  • Makinde O.D. and Sibanda P. (2008): Magnetohydrodynamic mixed convective flow and heat and mass transfer past a vertical plate in a porous medium with constant wall suction. – Transaction of ASME - Journal of Heat Transfer, vol.130, pp.112602 (8).
  • Nandeppanavar M.M., Abel M.S. and Tawade J. (2010): Heat transfer in a Walter’s liquid B fluid over an impermeable stretching sheet with non-uniform heat source/sink and elastic deformation. – Comm. Nonlinear Sci. Num. Simul., vol.15, pp.1791-1802.
  • Pavlov K.B. (1974): Magnetohydrodynamic flow of an incompressible viscous liquid caused by deformation plane surface. – Magnetnaya Gidrodinamica, vol.4, pp.146-147.
  • Rajagopal K.R. Na T.Y. and Gupta A.S. (1984): Flow of a viscoelastic fluid over a stretching sheet. – Rheol. Acta, vol.23, pp.213-215.
  • Sakiadis B.C. (1961): Boundary-layer behaviour on continuous solid surfaces. I. Boundary layer equations for twodimensional and axisymmetric flow. – AIChE J., vol.7, pp.26-28.
  • Sankara K. and Watson L.T. (1985): Micropolar fluid past a stretching sheet. – ZAMP vol.36, pp.845-853.
  • Wazwaz A.M. (2006): The modified decomposition method and Padé Approximants for a boundary-layer equation in unbounded domain. – Appl. Math. Comput., vol.177, pp.737–744.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3d751768-ca68-4f21-874f-0b9d4177f4f7
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