Self-Similar Solution of the Problem of a Turbulent Flow in a Round Submerged Jet
A. V. Shmidt
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036 Russia
Keywords: круглая затопленная турбулентная струя, (k-e)-модель, теоретико-групповой анализ, асимптотическое разложение, метод стрельбы, round submerged turbulent jet, k-e model, theoretical-group analysis, asymptotic expansion, shooting method
Abstract
A mathematical model of the flow in a round submerged turbulent jet is considered. The model includes differential transport equations for the normal components of the Reynolds stress tensor and Rodi's algebraic approximations for shear stresses. A theoretical-group analysis of the examined model is performed, and a reduced self-similar system of ordinary differential equations is derived and solved numerically. It is shown that the calculated results agree with available experimental data.
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