Exact solution for flow in a porous pipe with unsteady wall suction and/or injection |
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| Institution: | 1. Dept. of Mechanical Engineering, University of Maryland, College Park, United States;2. M2P2 UMR7340 CNRS-Aix-Marseille Université-Ecole Centrale Marseille, Marseille, France;3. Dept. of Mechanical Engineering, Northwestern University, Evanston, IL, United States;1. Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, 24, Sibirskaya Str., 614990 Perm, Russia;2. Université de Toulouse, INPT, UPS, IMFT (Institut de Mécanique des Fluides de Toulouse), 2 Allée Camille Soula, F-31400 Toulouse, France;3. CNRS, IMFT, F-31400 Toulouse, France;1. Department of Mathematics University of Bergen, Norway;2. Department of Biomedicine, University of Bergen, Jonas Lies vei 91, N-5009 Bergen, Norway |
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| Abstract: | This paper presents an extension of the exact solution of the steady laminar axisymmetric flow in a straight pipe of circular cross section with porous wall, given by R.M. Terrill, to the case of unsteady wall injection and/or suction. The cases of the pulsating parabolic profile and of the developed pulsating flow are investigated as examples. The pulsating flow in porous ducts has many applications in biomedical engineering and in other engineering areas. |
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