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- W3204191562 abstract "Рассмотрены стационарные трехмерные течения идеального политропного газа, примыкающие через вертикальную контактную поверхность к области покоя в условиях действия сил тяготения и Кориолиса. Показано, что такие течения описываются решениями соответствующей начально-краевой задачи для системы уравнений газовой динамики, которые в работе строятся в виде локально сходящихся рядов. Коэффициенты этих рядов определяются в параметрической форме при решении систем обыкновенных дифференциальных уравнений. Параметры газа на контактной поверхности и в ее окрестности восстанавливаются численно. 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." @default.
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- W3204191562 date "2018-02-16" @default.
- W3204191562 modified "2023-09-27" @default.
- W3204191562 title "Mathematical modeling of the stationary ascending swirling flows in the vicinity of contact surface" @default.
- W3204191562 doi "https://doi.org/10.25743/ict.2018.23.11823" @default.
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