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Homotopy analysis of unsteady boundary layer flow adjacent to permeable stretching surface in a porous medium
Institution:1. Universidad Miguel Hernández de Elche, Centro de Investigación Operativa, 03202 Elche (Alicante), Spain;2. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine;3. Institute for Applied System Analysis, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine;1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China;2. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China;1. IBM, 76 Upper Ground, London SE1 9PZ, United Kingdom;2. IBM, P.O. Box 218, Yorktown Heights, NY 10598, USA;1. University of Belgrade, “Vinča” Institute of Nuclear Sciences, Laboratory for Theoretical and Condensed Matter Physics, P.O. BOX 522, 11001 Belgrade, Serbia;2. University of Belgrade, “Vinča” Institute of Nuclear Sciences, Laboratory for Nuclear and Plasma Physics, P.O. BOX 522, 11001 Belgrade, Serbia;3. Department of Physics, Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia;1. Università degli Studi di Napoli “Parthenope”, Via Parisi 13, 80100 Napoli, Italy;2. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy
Abstract:This communication deals with the unsteady boundary layer flow of a viscous fluid in porous medium started due to the impulsively stretching of the plane wall. The wall is assumed to be porous so that suction or injection is possible. Complete analytic solution which is uniformly valid for all the dimensionless times 0  τ < 0 in the whole spatial region 0  η < ∞ is obtained by a purely analytic technique, namely the homotopy analysis method. Results are discussed through graphs.
Keywords:
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