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Example of solving transonic equations for a shock-free flow past a symmetric profile. (English. Russian original) Zbl 0569.76064
J. Appl. Math. Mech. 46, 125-128 (1983); translation from Prikl. Mat. Mekh. 46, 159-162 (1982).
In this study, a parametric method for solving the small disturbance transonic flow equation is developed and generalized. Since the governing Tricomi equation is linear in the hodograph plane, other solutions may be derived from known solutions by differentiations or integrations. Examples from solutions of flow through nozzles by S. Tomotika and K. Tamada [e.g.: Q. Appl. Math. 8, 127-136 (1950; Zbl 0040.408)] to those of nozzles of nonsymmetric flows and flow past profiles have been shown and discussed.
Reviewer: W.L.Chow
MSC:
76H05 Transonic flows
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References:
[1] Tomotika, S.; Tamada, K., Studies on two-dimensional transonic flows of compressible fluid, Quart. appl. math., Vol. 7, No. 4, (1950), Pt. 1 · Zbl 0034.41701
[2] Tomotika, S.; Tamada, K., Studies on two-dimensional transonic flows of compressible fluid, Quart. appl. math., Vol. 8, No. 2, (1951), Pt. 2 · Zbl 0043.40501
[3] Yd, N.J.; Seebass, A.R., Inviscid transonic flow computations with shock Fitting, () · Zbl 0332.76047
[4] Eremenko, V.A.; Ryzhov, O.S., On a flow in a local supersonic zone at the profile of an infinite span wing, Dokl. akad. nauk SSSR, Vol. 240, No. 3, (1978) · Zbl 0408.76037
[5] Ivanov, V.A.; Chernov, I.A., On the problem of shock wave formation within a local supersonic zone, Pmm, Vol. 43, No. 6, (1979) · Zbl 0494.76062
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