Abstract
Transverse flow of an incompressible fluid over a plate oscillating in its own plane is analyzed for the case in which matter is injected or withdrawn through the surface. The problem is reduced to a system of ordinary differential equations, which is solved by the Newton method. It is shown that the flow can be represented as a superposition of steady and nonsteady fields. The propagation of velocity perturbations has the form of a damped wave at any frequencies. An approximative method is proposed for determining the frictional stress.
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M. B. Glauert, “The laminar boundary layer on oscillating plates and cylinders,” J. Fluid Mech.,1, Part 1 (1956).
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S. A. Regirer, “Nonsteady asymptotic boundary layer on an infinite porous plate,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekhan. i Mashinostr., No. 4 (1959).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 55–58, January–February, 1974.
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Fainitskii, Y.L. Transverse flow over an oscillating plate with injection or suction. J Appl Mech Tech Phys 15, 45–47 (1974). https://doi.org/10.1007/BF00850727
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DOI: https://doi.org/10.1007/BF00850727