Abstract
The solutions of the equations of parabolic type describing the development of the flow in an axisymmetric wake under the Influence of viscosity and an adverse pressure gradient are considered. It is then shown that in the general case in the neighborhood of the stagnation point on the axis of the wake the solution is a singular one, the possibility of its continuation beyond the stagnation point being excluded. The following solutions are also obtained: a regular solution in the neighborhood of the stagnation point and a singular solution continuable downstream. This singular solution is the limit for the class of regular solutions having a miniumum in the velocity distribution on the axis as the minimum velocity tends to zero.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 53–59, March–April, 1986.
The author is grateful to V. Ya. Neiland and Vik. V. Sychev for discussing the results and offering useful advice.
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Trigub, V.N. Flow in the neighborhood of the stagnation point of an axisymmetric wake. Fluid Dyn 21, 212–217 (1986). https://doi.org/10.1007/BF01050171
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DOI: https://doi.org/10.1007/BF01050171