Approximate solution to a model of the far momentumless axisymmetric turbulent wake

Alexey V. Schmidt

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 229-237.

Résumé

The flow in the far axisymmetric momentumless turbulent wake is described with the use of a mathematical model based on $k-\varepsilon$ semi-empirical model of turbulence. A group-theoretical analysis of the mathematical model of the wake is performed. The similarity reduction of the model to a system of ordinary differential equations is obtained. Asymptotic expansion of the solution in the vicinity of a singular point is used to construct approximate solution of corresponding boundary value problem.

Détail

Keywords: far momentumless axisymmetric turbulent wake, approximate solution, asymptotic expansion.

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