Summary
A reciprocal property for the two-dimentional, irrotational flow of a compressible fluid is derived. From this certain flows can be obtained which possess the property of having simply-related velocity potentials and stream functions. To each flow pattern there corresponds a certain pressure density law. Using this property, an approximation method for subsonic flow is deduced, and an example is given which indicates that satisfactorily accurate results can be achieved.
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References
Tsien, H. S., J. Aero. Sci. 6 (1939) 399.
Demtchenko, B., C. R. Acad. Sci. Paris 194 (1932) 1218.
Power, G. and P. Smith, J. Fluid Mech. 4 (1958) 600.
Bateman, H., Proc. Nat. Acad. Sci. U.S.A. 24 (1938) 246.
Lush, P. E. and T. H. Cherry, Quart. J. Mech. Appl. Math. 9 (1956) 6.
Power, G., and P. Smith, Appl. Sci. Res. A7 (1958) 357.
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Power, G., Smith, P. Application of a reciprocal property to subsonic flow. Appl. sci. Res. 8, 386–392 (1959). https://doi.org/10.1007/BF00411764
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DOI: https://doi.org/10.1007/BF00411764