Two-dimensional subsonic compressible flows past arbitrary bodies by the variational method

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Instead of solving the nonlinear differential equation which governs the compressible flow, an approximate method of solution by means of the variational method is used. The general problem of steady irrotational flow past an arbitrary body is formulated. Two examples were carried out, namely, the flow past a circular cylinder and the flow past a thin curved surface. The variational method yields results of velocity and pressure distributions which compare excellently with those found by existing methods. These results indicate that the variational method will yield good approximate solution for flow past both thick and thin bodies at both high … continued below

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73 p. : ill., tables ; 28 cm.

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Wang, Chi-Teh March 1951.

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Instead of solving the nonlinear differential equation which governs the compressible flow, an approximate method of solution by means of the variational method is used. The general problem of steady irrotational flow past an arbitrary body is formulated. Two examples were carried out, namely, the flow past a circular cylinder and the flow past a thin curved surface. The variational method yields results of velocity and pressure distributions which compare excellently with those found by existing methods. These results indicate that the variational method will yield good approximate solution for flow past both thick and thin bodies at both high and low Mach numbers.

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73 p. : ill., tables ; 28 cm.

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  • March 1951

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  • Sept. 25, 2014, 8:32 p.m.

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  • Oct. 25, 2017, 9:10 a.m.

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Wang, Chi-Teh. Two-dimensional subsonic compressible flows past arbitrary bodies by the variational method, report, March 1951; Washington D.C.. (https://digital.library.unt.edu/ark:/67531/metadc172521/: accessed May 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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