Abstract
The article discusses the problem of determining the secondary steady flow in a plane duct when a sound field is superimposed on an undisturbed compressible laminar flow. It is shown that under certain simplifying conditions the velocity distribution of the secondary flow in the wall region is given by a simple analytical expression. In the rest of the duct the problem is reduced to the solution of a linear fourth-order ordinary differential equation (in complex variables); this problem is solved numerically. The indicated equation is transformed to an Airy equation for large Reynolds numbers Re of the undisturbed flow. The results are presented graphically.
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Literature cited
H. Schlichting, Boundary Layer Theory, 6th ed., McGraw-Hill, New York (1968).
K. R. Purdy, T. W. Jackson, and C. W. Gorton, “viscous fluid flow under the influence of a resonant acoustic field,” Trans. ASME, Ser. C,86, No. 1, 97–106 (1964).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 57–64, March–April, 1976.
The author is indebted to V. E. Nakoryakov for valuable comments and interest.
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Murga, V.A. Influence of sound waves on steady duct flow. J Appl Mech Tech Phys 17, 189–193 (1976). https://doi.org/10.1007/BF00858409
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DOI: https://doi.org/10.1007/BF00858409