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Nearly parallel Blasius flow with slip
Institution:1. School of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China;2. Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong;1. Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA;2. Université Paris-Saclay, CEA, CNRS, Gif-sur-Yvette, France;3. Université Paris-Saclay, CNRS, LIMSI, Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur, 91400 Orsay, France;4. Department of Mathematics, Texas A&M University 3368 TAMU, College Station, TX 77843-3368, USA;5. LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Univ. Paris Diderot, Sorbonne Paris Cité, 5 place Jules Janssen, 92195 Meudon, France;6. School of Atmospheric Sciences, Sun Yat-sen University, Guangzhou, China
Abstract:The steady boundary layer flow past a moving horizontal flat plate with a slip effect at the plate in a free stream with constant speed, slightly different from the plate speed is studied. An analytic perturbation solution of order two is obtained for the velocity. With respect to the parallel flow both the boundary layer and the inverted boundary layer characters of the flow are plotted and discussed. It is observed that under high slip, the flow becomes a nearly parallel flow with an increased speed.
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