Approximate solution to a model of the far momentumless axisymmetric turbulent wake
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 229-237
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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.
Keywords:
far momentumless axisymmetric turbulent wake, approximate solution, asymptotic expansion.
@article{JSFU_2024_17_2_a8,
author = {Alexey V. Schmidt},
title = {Approximate solution to a model of the far momentumless axisymmetric turbulent wake},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {229--237},
publisher = {mathdoc},
volume = {17},
number = {2},
year = {2024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a8/}
}
TY - JOUR AU - Alexey V. Schmidt TI - Approximate solution to a model of the far momentumless axisymmetric turbulent wake JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2024 SP - 229 EP - 237 VL - 17 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a8/ LA - en ID - JSFU_2024_17_2_a8 ER -
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Alexey V. Schmidt. Approximate solution to a model of the far momentumless axisymmetric turbulent wake. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 229-237. http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a8/