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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 3, Pages 49–63
(Mi pmtf2148)
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Using the perturbation method to solve the problem of separated incompressible flow past thin airfoils
V. B. Kurzin Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract:
A model for separated incompressible flow past thin airfoils in the neighborhood of the “shockless entrance” condition is constructed based on the averaging of the vortex shedding flow past the airfoil edges. By approximation of the vortex shedding by two vortex curves, determination of the average hydrodynamic parameters is reduced to a twofold solution of an integral singular equation equivalent to the equation describing steady-state nonseparated airfoil flow. In this case, the calculation time is two orders of magnitude smaller than the time required for the solution of the corresponding evolution problem. The results of a test calculation using the proposed method are in fair agreement with available results of calculations and experiments.
Keywords:
incompressible fluid, airfoil, separation, vortex shedding.
Received: 03.02.2005 Accepted: 22.07.2005
Citation:
V. B. Kurzin, “Using the perturbation method to solve the problem of separated incompressible flow past thin airfoils”, Prikl. Mekh. Tekh. Fiz., 47:3 (2006), 49–63; J. Appl. Mech. Tech. Phys., 47:3 (2006), 346–358
Linking options:
https://www.mathnet.ru/eng/pmtf2148 https://www.mathnet.ru/eng/pmtf/v47/i3/p49
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