The full lie group and invariant solutions of the system of boltzmann equations of a multicomponent gas mixture

1997 ◽  
Vol 38 (3) ◽  
pp. 434-448 ◽  
Author(s):  
Yu. N. Grigor’ev ◽  
S. V. Meleshko
Keyword(s):  
Lie Group ◽  
Gas Mixture ◽  
Invariant Solutions ◽  
Boltzmann Equations ◽  
Multicomponent Gas ◽  
Multicomponent Gas Mixture

Method to optimize high-pressure, multicomponent gas mixing

1976 ◽  
Vol 41 (6) ◽  
pp. 960-963 ◽  
Author(s):  
R. Scacci
Keyword(s):  
High Pressure ◽  
Gas Mixture ◽  
Gas Mixing ◽  
Arbitrary Size ◽  
Multicomponent Gas ◽  
Pressure Storage ◽  
Multicomponent Gas Mixture

By use of the equations derived herein, a method is outlined to determine the optimum filing sequence and to obtain the maximum possible pressure when two or more pure high-pressure gases are to be transferred to a receiver cylinder in order to prepare a multicomponent gas mixture. The method is valid for any number of gas components, originating from high-pressure storage cyclinders of arbitrary size and pressure and for a receiver cylinder to contain initially one or more of the component gases. Percentage concentrations within 1% of desired are easily obtained with this method.

Multicomponent gas mixture analysis using a single tin oxide sensor and dynamic pattern recognition

2001 ◽  
Vol 1 (3) ◽  
pp. 207-213 ◽  
Author(s):  
E. Llobet ◽  
R. Ionescu ◽  
S. Al-Khalifa ◽  
J. Brezmes ◽  
X. Vilanova ◽  
...  
Keyword(s):  
Pattern Recognition ◽  
Tin Oxide ◽  
Gas Mixture ◽  
Mixture Analysis ◽  
Dynamic Pattern ◽  
Multicomponent Gas ◽  
Multicomponent Gas Mixture

scholarly journals Properties of the aggregated quasi-hydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity

2021 ◽  
pp. 1-26
Author(s):  
Alexander Anatolievich Zlotnik ◽  
Anna Sergeevna Fedchenko
Keyword(s):  
Original System ◽  
New Technique ◽  
Gas Mixture ◽  
System Of Equations ◽  
Symmetric Form ◽  
Hydrodynamic System ◽  
Constant Solution ◽  
Multicomponent Gas ◽  
A New Technique ◽  
Multicomponent Gas Mixture

We study a quasi-hydrodynamic system of equations for a homogeneous (with common velocity and temperature) multicomponent gas mixture in the absence of chemical reactions, with a regularizing velocity common for the components. We derive the entropy balance equation with a non-negative entropy production taking into account the diffusion fluxes of the mixture components. In the absence of diffusion fluxes, a system of equations linearized at a constant solution is constructed by a new technique, In the absence of diffusion fluxes, a system of equations linearized on a constant solution is constructed by a new technique. It is reduced to a symmetric form, the L^2-dissipativity of its solutions is proved, and a degeneration (with respect to the densities of the mixture components) of the parabolicity property for the original system is established. Actually, the system has the composite type. The obtained properties strictly reflect its physical correctness and dissipative nature of the quasi-hydrodynamic regularization.

scholarly journals Application of a hybrid large-particle method for calculating multicomponent gas mixture flows

2019 ◽  
pp. 489-497
Author(s):  
Д.В. Садин
Keyword(s):  
Large Particle ◽  
Order Approximation ◽  
Particle Method ◽  
Numerical Results ◽  
Gas Mixture ◽  
Wide Range ◽  
Multicomponent Gas ◽  
Self Similar ◽  
Similar Solutions ◽  
Multicomponent Gas Mixture

Статья посвящена обобщению гибридного метода крупных частиц для численного моделирования течений многокомпонентных газовых смесей при наличии границ раздела газов с различными термодинамическими свойствами. Метод относится к алгоритмам сквозного расчета разрывов. Разностная схема является консервативной, однородной и имеет второй порядок аппроксимации по пространству и времени на гладких решениях. Результаты проверки на тестовых задачах в широком диапазоне чисел Маха и отношений газодинамических параметров подтвердили работоспособность метода. Выполнен анализ численных ошибок в окрестности контактных разрывов на сетках различного разрешения, свидетельствующий о сходимости результатов расчета к автомодельным решениям. This paper is devoted to a generalization of a hybrid large-particle method for the numerical simulation of multicomponent gas mixture flows in the presence of gas interfaces with various thermodynamic properties. The method belongs to the class of shock-capturing and interface-capturing algorithms. The employed difference scheme is conservative and uniform and possesses the second order approximation in space and time on smooth solutions. The obtained numerical results show the efficiency of the method in a wide range of Mach numbers and ratios of gas dynamic parameters. The error analysis performed near the contact discontinuities on grids of various resolutions confirms the convergence of numerical results to the self-similar solutions.

Removal of Carbon Dioxide from a Multicomponent Gas Mixture by Absorption Using a Y-Type Microreactor

2021 ◽  
Author(s):  
Sarah Natacha de Oliveira Almeida Morais ◽  
Ciro Evandro da Silva Lobo ◽  
Carlos Eduardo de Araújo Padilha ◽  
Domingos Fabiano de Santana Souza ◽  
José Roberto de Souza ◽  
...  
Keyword(s):  
Carbon Dioxide ◽  
Gas Mixture ◽  
Multicomponent Gas ◽  
Multicomponent Gas Mixture

Mathematical modeling of mass transfer in multicomponent gas mixture across the synthesized composite polymeric membrane

2013 ◽  
Vol 19 (3) ◽  
pp. 870-885 ◽  
Author(s):  
Abtin Ebadi Amooghin ◽  
Pardis Moradi Shehni ◽  
Ali Ghadimi ◽  
Mohtada Sadrzadeh ◽  
Toraj Mohammadi
Keyword(s):  
Mathematical Modeling ◽  
Mass Transfer ◽  
Polymeric Membrane ◽  
Gas Mixture ◽  
Multicomponent Gas ◽  
Multicomponent Gas Mixture
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