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Generalized variables in boundary-layer theory

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Abstract

Independent variables are widely used in boundary-layer theory to construct efficient methods of solving problems. The Dorodnitsyn variables in Lees' form [1] are the most common and general. This form combines the transformations proposed by Dorodnitsyn [2], Blasius [3], and Mangler-Stepanov [4, 5]. As is well known, transformation of the boundary-layer equations to Dorodnitsyn variables in Lees' form leads to a generalized single system of equations describing plane and axisymmetric gas flows. An analogous generalization of the Mises [6] and Crocco [7] variables is carried out below.

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Literature cited

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Authors and Affiliations

  1. Moscow

    L. E. Kalikhman & A. V. Potapov

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  1. L. E. Kalikhman
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  2. A. V. Potapov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 166–168, September–October, 1976.

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Kalikhman, L.E., Potapov, A.V. Generalized variables in boundary-layer theory. Fluid Dyn 11, 789–790 (1976). https://doi.org/10.1007/BF01012980

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  • DOI: https://doi.org/10.1007/BF01012980

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