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Article information
2018 , Volume 23, ¹ 1, p.19-32
Bautin S.P., Deryabin S.L., Mezentsev A.V.
Mathematical modelling of the stationary ascending swirling flows in the vicinity of contact surface
This work addresses mathematical modelling of such part of ascending swirling flows which adjoins a resting gas in the central part of the flow. The methodology contains the formulation of the initial-boundary problems for the system of equations of gas dynamics subject to gravity and Coriolis forces. The solutions of the problem is presented in the form of infinite convergent series. The coefficients are determined recurrently using the system of ordinary differential equations. The findings of this work include a proof of the existence and uniqueness solutions of the characteristic Cauchy problem in the standard form. These solutions describe the corresponding part of a three-dimensional stationary ascending twisting flow. The coefficients of the series are the solutions of the specific system of ordinary differential equations. The initial coefficients are used for the approximate presentation of the unknown flows. Originality of the work is that for ascending swirling flows the mathematical problem is posed. The solution of problem describes the flow in the vicinity of the vertical contact surface. The existence of solution in the class of analytic functions is proved and the required flow is approximately described.
[full text]
Keywords: system of equations of gas dynamics, Coriolis force, ascending swirling flows, contact surface, converging series
doi: 10.5072/ICT.2018.1.11823
Author(s):
Bautin Sergey Petrovich
Dr. , Associate Professor
Position: Professor
Office: Snezhinsk Institute of Physics and Technology National Research Nuclear University MEPhI
Address: 456776, Russia, Snezhinsk, Komsomol str., 8
Phone Office: (343) 221 25 49
E-mail: SPBautin@mail.ru
SPIN-code: 4343-3821Deryabin Sergey Lvovich
Dr. , Professor
Position: Professor
Office: Ural state university of railway transport
Address: 620034, Russia, Ekaterinburg, Kolmogorov st., 66
Phone Office: (343)2-21-24-04
E-mail: SDeryabin@usurt.ru
Mezentsev Alexey Vladimirovich
Position: Assistent
Office: Ural state university of railway transport
Address: 620034, Russia, Ekaterinburg, Kolmogorov st., 66
Phone Office: (343) 358 55 50
E-mail: AMezentsev@math.usurt.ru
References:
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Bibliography link:
Bautin S.P., Deryabin S.L., Mezentsev A.V. Mathematical modelling of the stationary ascending swirling flows in the vicinity of contact surface // Computational technologies. 2018. V. 23. ¹ 1. P. 19-32
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