Abstract
Three-dimensional laminar boundary layer flow over a planar delta wing with the span of the order of unity is investigated in the strong interaction regime. The flow functions are expanded in power series in the transverse coordinate in the vicinities of the plane of symmetry of the wing and its leading edge. The induced pressure over the wing span is determined by matching the expansions obtained and compared with the results of the numerical finite-difference solution of the boundary layer equations in partial derivatives.
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References
M. D. Ladyzhenskii, “Three-Dimensional Hypersonic Flow past ThinWings,” Prikl. Mat. Mekh. 28, 835 (1964).
M. D. Ladyzhenskii, “Strong Interaction between a Boundary Layer and an Inviscid Flow on a DeltaWing,” Prikl. Mat. Mekh. 29, 635 (1965).
I. G. Kozlov and V. V. Mikhailov, “Strong Viscous Interaction on Triangular and SlippingWings,” Fluid Dynamics 5 (6), 982 (1970).
G. N. Dudin and V.Ya. Neiland, “Law of Transverse Sections for the Three-Dimensional Boundary Layer on a Thin Wing in a Hypersonic Stream,” Fluid Dynamics 11 (2), 232 (1976).
G. N. Dudin, “Interaction between a Hypersonic Flow and the Boundary Layer on a Thin Delta Wing,” Tr. TsAGI No. 1912, 3 (1978).
G. N. Dudin and D. O. Lyzhin, “AMethod of Calculating a Regime of Strong Viscous Interaction on a DeltaWing,” Fluid Dynamics 18 (4), 596 (1983).
V.Ya. Neiland, “On the Theory of the Hypersonic Flow/Boundary Layer Interaction for Separated Two- and Three- Dimensional Flows. Part 2. Two-Dimensional Flows and Delta Wings,” Uch. Zap. TsAGI 5 (3), 28 (1974).
G. N. Dudin, “Characteristics of a Three-Dimensional Hypersonic Boundary Layer in the Vicinity of the Plane of Symmetry of a Delta Wing,” Tr. TsAGI No. 2177, 183 (1983).
S. K. Godunov and V. S. Ryaben’kii, Difference Schemes [in Russian], Nauka, Moscow (1973).
G. N. Dudin and Ya. N. So, “Flow in the Vicinity of the Plane of Symmetry of a Low-Sweep Delta Wing in the Strong Interaction Regime,” Uch. Zap. TsAGI 45 (5), 47 (2014).
Ya. N. So, “Flow past a Delta Wing with a Small Sweep Angle of the Leading Edge in the Strong Interaction regime,” Tr. MFTI 6, No. 6(21), 117 (2014).
W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory, Acad. Press, New York (1966).
G. G. Chernyi, Introduction to Hypersonic Flow Theory, Acad. Press, New York (1966).
G. N. Dudin, Delta Wings in a Viscous Hypersonic Flow [in Russian], MFTI, Moscow (2011).
V.Ya. Neiland, V. V. Bogolepov, G. N. Dudin, and I. I. Lipatov, Asymptotic Theory of Supersonic ViscousGas Flows, Elsevier, Amsterdam (2007).
V.Ya. Neiland, “On the Theory of the Hypersonic Flow/Boundary Layer Interaction for Separated Two- and Three- Dimensional Flows. Part 1. Three-Dimensional Flows,” Uch. Zap. TsAGI 5 (2), 70 (1974).
G. N. Dudin and I. I. Lipatov, “Hypersonic Flow past a Delta Wing in the Supercritical Regime,” Zh. Prikl. Mekh. Tekhn. Fiz. No. 3, 100 (1985).
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Original Russian Text © G.N. Dudin, F.H. Nguen, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 4, pp. 68–82.
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Dudin, G.N., Nguen, F.H. Flow past a delta wing in the strong viscous-inviscid interaction regime. Fluid Dyn 50, 522–534 (2015). https://doi.org/10.1134/S0015462815040079
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DOI: https://doi.org/10.1134/S0015462815040079