Abstract
On the basis of a numerical solution of the unsteady Navier-Stokes equations, the flow past a finite plate with an upstream-moving surface is investigated. For the Reynolds numbers Re =102−104, the flow past the plate is analyzed as a function of the relative plate surface velocity. On the basis of this analysis a limiting mathematical model of the flow as Re → ∞ is proposed.
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References
J.B. Klemp and A. Acrivos, “A Method for Integrating the Boundary-Layer Equations Through a Region of Reverse Flow,” J. Fluid Mech. 53Pt 1, 177–191 (1972).
G.G. Chernyi, “Boundary Layer on a Moving Surface,” in: Selected Problems of Applied Mechanics. Collection of Papers Devoted to the 60th Birthday of Academician V.N. Chelomei (VINITI, Moscow, 1974), 709–719.
G.G. Chernyi, “Boundary Layer on a Moving Surface,” in: Aeromechanics. To the 60th Birthday of Academician V.V. Struminskii (Nauka, Moscow, 1976), 99–104.
A.M. Gaifullin, “Flow Past a Plate with an Upstream-Moving Surface,” Fluid Dynamics 41(3), 375–380 (2006).
G.K. Batchelor, “On Steady Laminar Flow with Closed Streamlines at Large Reynolds Number,” J. Fluid Mech. 1Pt 2, 177–190 (1956).
V.S. Sadovskii, “Plane Potential Flows of Inviscid Fluid and Their Applications,” Trudy TSAGI (2447), (1989).
M.A. Lavrent’ev and B.V. Shabat, Problems in Hydromechanics and Their Mathematical Models (Nauka Moscow, 1973).
Additional information
Original Russian Text © A.M. Gaifullin, A.B. Zubtsov, 2009, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2009, Vol. 44, No. 4, pp. 72–77.
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Gaifullin, A.M., Zubtsov, A.B. Flow past a plate with a moving surface. Fluid Dyn 44, 540–544 (2009). https://doi.org/10.1134/S0015462809040073
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DOI: https://doi.org/10.1134/S0015462809040073