Abstract—
Flow in the three-dimensional boundary layer on a yawed plate of finite length from which a gas is injection along the normal is considered in the case of the regime of strong viscous-inviscid interaction. In order to investigate the upstream disturbance propagation, the flow functions are expanded in four-term series in the neighborhood of the leading edge of plate under the assumption that the base pressure which depends on the transverse coordinate is given on the plate trailing edge. It is shown that these expansions contain an undefined function and its first and second derivatives with respect to the transverse coordinate. The corresponding boundary-value problems are formulated and numerically solved and the eigenvalues are found. It is shown that the possibility of downstream influence becomes significantly higher with increase in both the yawing angle and the intensity of gas injection. The influence of the constitutive parameters on the flow characteristics in the three-dimensional boundary layer is investigated.
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REFERENCES
Lees, L., On the boundary-layer equations in hypersonic flow and their approximate solutions, J. Aeronaut. Sci., 1953, no. 20(2), pp. 143–145.
Stewartson, K., On the motion of a flat plate at high speed in a viscous compressible fluid. II. Steady motion, J. Aeronaut. Sci., 1955, no. 22(5), pp. 303–309.
Neiland, V.Ya., Propagation of perturbations upstream with interaction between a hypersonic flow and a boundary layer, Fluid Dyn., 1970, vol. 5, no. 4, pp. 559–566.
Neiland, V.Ya., Bogolepov, V.V., Dudin, G.N., and Lipatov, I.I., Asymptotic Theory of Supersonic Viscous Gas Flows, Amsterdam: Elsevier, 2007; Moscow: Fizmatlit, 2003.
Brown, S.N. and Stewartson, K., A non-uniqueness of the hypersonic boundary layer, Q. J. Mech. Appl. Math., 1975, vol. 28, pt. 1, pp. 75–90.
A. A. Kovalenko, Investigation of boundary layer separation under strong interaction with a hypersonic gas flow, Uch. Zap. TsAGI, 1974, vol. 5, no. 6, pp. 39–47.
Dudin, G.N. and Neiland, V.Ya., Generation of three-dimensional disturbances in a boundary layer on strong interaction with a supersonic flow, Fluid Dyn., 2018, vol. 53, no. 1, pp. 86–94.
Dudin, G.N. and Neiland, V.Ya., Influence of the plate surface temperature on the propagation of disturbances in a hypersonic flow, TsAGI Sci. J., 2018, vol. 49, no. 5, pp. 477–494.
Whalen, R.J., Boundary-layer interaction on a yawed infinite wing in hypersonic flow, JASS, 1959, vol. 26, no. 12, pp. 839–841.
Kozlova, I.G., and Mikhailov, V.V., Strong viscous interaction on triangular and slipping wings, Fluid Dyn. 1970, vol. 5, no. 6, pp. 982–986.
Dudin, G.N. and Neiland, V.Ya., Propagation of disturbances on a yawed plate in a regime of strong interaction, Doklady Physics, 2018, vol. 63, no. 11, pp. 467–470.
Dudin, G.N. and Neiland, V.Y., Some features of hypersonic flow past a yawed plate, Dokl. Ross. Akad. Nauk, 2019, vol. 487, no. 1, pp. 23–26.
Dudin, G.N. and Neiland, V.Y., Temperature factor effect on the disturbance propagation in hypersonic flow past a yawed flat plate, Fluid Dyn., 2019, vol. 54, no. 5, pp. 647–657.https://doi.org/10.1134/S0015462819040049
Neiland, V.Y., Gas injection in hypersonic flow, Uch. Zap. TsAGI, 1972, vol. 3, no. 6, pp. 32–39.
Lipatov, I.I., Distributed gas injection in hypersonic flow, J. Prikl. Mekh. Tekh. Fiz., 1987, no. 6, pp. 57–61.
Dudin, G.N., Gas injection from the surface of a triangular plate in a hypersonic flow, Fluid Dyn., 2000, vol. 35, no. 1, pp. 101–107.https://doi.org/10.1007/BF02698794
Balashov, A.A. and Dudin, G.N., Flow past a plate in the regime of strong interaction in the presence of mass transfer, Tr. MFTI, 2015, vol. 7, no. 1, pp. 16–27.
Dudin, G.N. and Neiland, V.Y., Influence of injection from the wedge surface on propagation of disturbances in hypersonic flow, Uch. Zap. TsAGI, 2019, vol. 50, no. 6, pp. 17–32.
Hayes, W.D. and Probstein, R.F., Hypersonic Flow Theory, N.Y.; L.: Academic Press, 1959.
Stollery, J.L., Laminar and turbulent boundary layer studies at hypersonic speeds, ICAS Paper, 1972, no. 72−09.
Dudin, G.N., Treugol’nye kryl’ya v vyazkom giperzvukovom potoke (Delta Wings in a Viscous Hypersonic Flow), Moscow: Moscow Institute of Physics and Technology, 2011.
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Dudin, G.N. Investigation of the Effect of Injection from a Yawed Plate with the Spanwise-Varied Base Pressure on the Disturbance Propagation in the Regime of Strong Interaction. Fluid Dyn 57, 247–260 (2022). https://doi.org/10.1134/S0015462822030053
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DOI: https://doi.org/10.1134/S0015462822030053