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Calculating base pressures in two-dimensional supersonic flows

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Abstract

A general method is described for determining the base pressure in complex two-dimensional supersonic flows. The calculation of the supersonic two-dimentional isentropic flow is accomplished using the approximate method of rectilinear characteristics with the use of a given hodograph of the separation flow; the effect of the dissipative layer is accounted for by a universal function-the permissible angle of rotation of the layer in the flow compression region.

From examples of determination of the base pressure on the end of a cylinder (2∘), and also on the end surfaces in a two-dimensional channel (3∘), and a nozzle with angular point (4∘), it is shown that the computational results agree satisfactorily with experiment.

From the resulting equation an analysis is made of the variation of the base pressure as a function of the peculiarities of the separation flow and its boundaries.

In the extensive literature devoted to the calculation of the base pressure in supersonic flows, primary attention is devoted to the study of the behavior of the dissipative layer at the edge of the separation region. The effect of the peculiarities of the outer inviscid flow, which at times leads to variation of the magnitude of the base pressure by several fold, has received less study. We present below an approximate method of calculating the base pressure in various types of actual supersonic flows.

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References

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  7. M. Sirieix, “Pression de culot et processus de mélange turbulent en écoulement supersonique plan,” Rech. Aeronaut., no. 78, 1960.

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Gogish, L.V., Stepanov, G.Y. Calculating base pressures in two-dimensional supersonic flows. Fluid Dyn 1, 72–75 (1966). https://doi.org/10.1007/BF01106880

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  • DOI: https://doi.org/10.1007/BF01106880

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