The dependence of the chemical potential jump coefficient on the evaporation coefficient is analyzed for the case in which the evaporating component is a Bose gas. The concentration of the evaporating component is assumed to be much lower than the concentration of the carrier gas. The expression for the chemical potential jump is derived from the analytic solution of the problem for the case in which the collision frequency of molecules of the evaporating component is constant.
Evaporation of a binary mixture is considered for the case when the evaporating component is a Bose gas. An analytical solution of the problem of the chemical potential jump of a Bose gas is obtained for the case when the molecular collision frequency of the evaporating component is a variable quantity. The dependence of the coefficient of the chemical potential jump on the evaporation coefficient is investigated. The concentration of the evaporating component is assumed to be much less than that of the carrier gas. A graphical study of the coefficient of the chemical potential jump is presented.
Аннотация. Продолжается исследование решения полупространственной второй задачи Стокса 1 для бозе-газа. Вторая задача Стокса рассматривается в полупространстве и со-стоит в изучении сдвиговых волн, генерируемых колеблющейся плоскостью, ограничи-вающей бозе-газ. Доказано существование и единственность разложения решения этой задачи в виде спектрального разложения по собственным функциям (или решениям) со-ответствующего характеристического уравнения. В основе доказательства лежит краевая задача Римана для аналитических функций комплексного переменного. Ключевые слова: вторая задача Стокса, бозе-газ, собственные функции, характеристиче-ское уравнение, разложение по собственным функциям.
EXISTENCE AND UNIQUENESS OF THE SOLUTION TO THE SECOND STOKES PROBLEM FOR BOSE GASES
E. Bedrikova, A. Latyshev
Moscow Region State University ul. Radio 10a, 105005 Moscow, Russian FederationAbstract. Research of the decision of half-space second Stokes' problem proceeds for bose-gas. Second Stokes' problem in half-space and consists in studying of the shift waves generated by the fluctuating plane, limiting bose-gas, is considered. Existence and uniqueness of expansion of the decision of this problem in the form of spectral decomposition on eigen functions (or decisions) the corresponding characteristic equation is proved. At the heart of the proof regional Riemann' problem for analytical functions of the complex variable lays. The analytical decision of second Stokes' problem for bose-gas is found.
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