A gas-kinetic scheme for multimaterial flows and its application in chemical reaction

A gas-kinetic scheme for multimaterial flows and its application in chemical reaction by Yongsheng Lian Download PDF EPUB FB2

A GAS-KINETIC SCHEME FOR MULTIMATERIAL FLOWS AND ITS APPLICATION IN CHEMICAL REACTION* YONGSHENG LIAN t AND KUN XU$ Abstract. This paper concerns the extension of the multicomponent gas-kinetic BGK-type scheme [26] to multidimensional chemical reactive flow calculations.

In the kinetic model, each component satisfies its. This paper concerns the extension of the multicomponent gas-kinetic BGK-type scheme to chemical reactive flow calculations.

In the kinetic model, each component satisfies its individual gas-kinetic Bhatnagar–Gross–Krook (BGK) equation, and the equilibrium states of both components are coupled in space and time due to the momentum and energy exchange in the course of particle by: Get this from a library.

A gas-kinetic scheme for multimaterial flows and its application in chemical reaction. [Yongsheng Lian; Kun Xu; Langley Research Center.]. A Gas-Kinetic Scheme for Multimaterial Flows and Its Application in Chemical Reactions Y.

Lian and K. Xu1 Mathematics Department, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong E-mail: [email protected] Received J ; revised June 9, Cited by: In this paper, a gas kinetic scheme for the compressible multicomponent flows is presented by making use of two-species BGK model in [A.

Kotelnikov and D. Montgomery, A Kinetic Method for. “A Gas-kinetic Scheme for Reactive Flows,” NASA/CR, ICASE Report No. Lian, Y., and Xu, K., “A Gas-Kinetic Scheme for Multimaterial Flows and Its Application in Chemical Reaction,” NASA/CR, ICASE Report Furthermore, the gas-kinetic scheme can be used to simulate both incompressible and compressible flows without any modification in principle.

Due to these advantages, the gas-kinetic scheme has. in the kinetic scheme, both the robustness and accuracy of the scheme can be maintained [10]. In this paper, wc cxtend the gas-kinetic BGK scheme for the nonreactive compressible Euler equations to the reactive flows.

In order to implement the mass fraction into the kinetic formulation, one new internalCited by: 9. In this paper, a gas-kinetic model and the corresponding kinetic scheme for the evaluation of the numerical flux function will be presented.

The source term S W j in the above equation is treated implicitly for the update of flow variables W j inside each cell. A gas-kinetic model. A Cited by: 9. Chemical Kinetics of Gas Reactions explores the advances in gas kinetics and thermal, photochemical, electrical discharge, and radiation chemical reactions.

This book is composed of 10 chapters, and begins with the presentation of general kinetic rules for Book Edition: 1. () A Gas-Kinetic Scheme for Multimaterial Flows and Its Application in Chemical Reactions. Journal of Computational Physics() A High-Resolution Numerical Method for a Two-Phase Model of Deflagration-to-Detonation by:   The unified gas kinetic scheme (UGKS) is based on direct modeling of gas dynamics on the mesh size and time step scales.

With the modeling of particle transport and collision in a time-dependent flux function in a finite volume framework, the UGKS can connect the flow physics smoothly from the kinetic particle transport to the hydrodynamic wave by: () A Gas-Kinetic Scheme for Multimaterial Flows and Its Application in Chemical Reactions.

Journal of Computational Physics() A gas-kinetic scheme for reactive by:   RANS simulations may not provide accurate results for all flow conditions.

The interaction between a shock wave and a turbulent boundary layer is an example which may still be difficult to simulate accurately.

Beside the inability to reproduce physical phenomena such as shock unsteadiness, the argument is put forward that the conventional numerical schemes, based on the Navier-Stokes Cited by: Unified Gas-kinetic Scheme for the Study of Non-equilibrium Flows by WANG, Ruijie Nano Science and Technology Program The Hong Kong University of Science and Technology Abstract There is an increasing demand for multi-scale modeling and simulation of gas flows in various engineering applications, such as the re-entry of space shuttle and heatCited by: 5.

The scheme has been tested for various test cases and Mach numbers proving to produce reliable predictions in agreement with other approaches for near-continuum flows. Finally, the performance of the scheme, in terms of memory and computational time, compared to discrete velocity methods makes it a compelling alternative in place of more Cited by: 1.

An alternative approach is the uni¦ed gas-kinetic scheme (UGKS) [17,18] which uses a ¦nite-volume method where the numerical §uxes are based on the solution of the Shakhov model [6] for a monoatomic gas or the Rykov model [7] for a diatomic gas with rotational nonequilibrium.

Where the §ow is under. The kinetic molecular theory of gases describes this state of matter as composed of tiny particles in constant motion with a lot of distance between the particles. Because most of the volume occupied by a gas is empty space, a gas has a low density and can expand or contract under the appropriate : Jessie A.

Key, David W. Ball. 16Xu, K., Gas-Kinetic Schemes for Unsteady Compressible Flow Simulations, von Karman Institute for Fluid Dynamics Lecture Series, 17Lian, Y.S. and Xu, K., “A Gas-Kinetic Schemes for Multimaterial Flows and Its Application in Chemical Reactions,” Journal of Computational Physics, Vol.pp.

18Koller, W., “A Semi. In this paper, the Kinetic Flux Vector Splitting (KFVS) scheme is extended to solving the shallow water equations with source terms. To develop a well-balanced scheme between the source term and the flow convection, the source term effect is accounted in the flux evaluation across cell interfaces.

This leads to a modified gas-kinetic scheme with particular application to the shallow water Cited by: Gas - Gas - Kinetic theory of gases: The aim of kinetic theory is to account for the properties of gases in terms of the forces between the molecules, assuming that their motions are described by the laws of mechanics (usually classical Newtonian mechanics, although quantum mechanics is needed in some cases).

The present discussion focuses on dilute ideal gases, in which molecular collisions. As a member, you'll also get unlimited access to o lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

constant introduced above. Its value in SI units is 10–23 J K–1. Another useful form of Eq. () is 0 RT P M () where ρ is the mass density of the gas.

A gas that satisfies Eq. () exactly at all pressures and temperatures is defined to be an ideal gas. An ideal gas is a simple theoretical model of a gas.

No real gas is truly File Size: KB. The kinetic theory of gases is a historically significant, but simple, model of the thermodynamic behavior of gases, with which many principal concepts of thermodynamics were model describes a gas as a large number of identical submicroscopic particles (atoms or molecules), all of which are in constant, rapid, random size is assumed to be much smaller than the.

The kinetic molecular theory of matter explains how matter can change among the phases of solid, liquid, and gas. Describe the kinetic molecular theory of matter. All particles have energy, and the energy varies depending on the temperature the sample of matter is in, which determines if the substance is.

Thus, entropy is also a measure of the tendency of a process, such as a chemical reaction, to be entropically favored, or to proceed in a particular direction.

It determines that thermal energy always flows spontaneously from regions of higher temperature to regions of lower temperature, in the form of heat. Here, ½ C 2 = kinetic energy per gram of the gas and r = gas constant for one gram of gas. Kinetic energy per molecule of the gas: Kinetic energy per molecule = ½ mC 2 = 3/2 kT.

Here, k (Boltzmann constant) = R / N. Thus, K.E per molecule is independent of the mass of molecule. It only depends upon the absolute temperature of the gas.

M.R. Correa and M.R. Borges, A semi‐discrete central scheme for scalar hyperbolic conservation laws with heterogeneous storage coefficient and its application to porous media flow, International Journal for Numerical Methods in Fluids, 73, 3, (), ().

This paper introducesmulti-component Gas Kinetics Scheme(GKS), when dealing with multi-componentsproblem, the assumptions of the same temperature and speed are meet at the cellinterface among components. The numericalsimulation of inclined air/SF6 interface instability experiment wascarried out and the SF6 densitydistribution at different time and the displacement history of Author: Jie Hong Lei, Xin Ping Deng.

,()– Fig Velocitydistributionofwater–airshocktubeproblemwithinitialgasvoidfraction(α L. Gas phase quiz. Google Classroom Facebook Twitter. Email. Kinetic molecular theory of gases. Practice: Gas phase quiz. This is the currently selected item. Boltzmann's constant.

Heat capacity at constant volume and pressure. Kinetic molecular theory of gases Our mission is to provide a free, world-class education to anyone, anywhere.

According to Kinetic Molecular Theory, an increase in temperature will increase the average kinetic energy of the molecules. As the particles move faster, they will likely hit the edge of the container more often.

If the reaction is kept at constant pressure, they must stay farther apart, and an increase in volume will compensate for the. Kinetic-molecular theory of gases synonyms, Kinetic-molecular theory of gases pronunciation, Kinetic-molecular theory of gases translation, English dictionary definition of Kinetic-molecular theory of gases.

Properties of gases can be modeled using some relatively simple equations, which we can relate to the behavior of individual gas molecules. We will learn about the ideal gas law, vapor pressure, partial pressure, and the Maxwell Boltzmann distribution.

The kinetic molecular theory can be used to explain the results Graham obtained when he studied the diffusion and effusion of gases. The key to this explanation is the last postulate of the kinetic theory, which assumes that the temperature of a system is proportional to the average kinetic energy of its particles and nothing else.

Start studying Homework Ch. 16 & Learn vocabulary, terms, and more with flashcards, games, and other study tools.

Knovel has e-books in Chemistry and Chemical Engineering, including Plant Design and Operation and data on many chemical properties of compounds.

Knovel also contains interactive graphs and diagrams. Hint: Simply search for the name of the compound and the property you are looking for, such as benzene and "boiling point.". limit of low pressures, the value of R is independent of the chemical nature of the gas, so that R is known as the universal gas constant.

In the event that n moles of gas are present in a container, Equation () may be rewritten as PV = nRT. () Thenumerical value of. Molecular Kinetic Theory Kinetic theory explains the temperature, pressure and volume of a gas in terms of the movement of molecules in the gas. In this model gas molecules are in constant random motion.

Evidence for this comes from Brownian motion where large smoke particles seem to randomly move around, this is because they are being. Got Gas. Kinetic Molecular Theory. The Kinetic Molecular Theory explains the forces between molecules and the energy that they possess.

These are the 3 theory: Matter is composed of small particles. The measure of space that the molecules occupy is derived from the space inbetween the molecules and not the space the molecules contain themselves. an introduction to kinetic theory This page takes a simple look at solids, liquids and gases, and changes of state such as melting and boiling, in terms of the behaviour of the particles present.

The arrangements of particles in solids, liquids and gases. Exam krackers says that the average kinetic energy for a mole of a gas is K.E. avg = 3/2 RT but my chemistry book says that the total kinetic energy for a mole of gas is = 3/2 RT meaning that N A (average K.E.

of one molecule) = 3/2 RT These 2 statements are different, for the bottom one says that the total K.E. for a mole of gas is = 3/2 RT, yet the top one says that the average K.E. for a. Hi, The kinetic molecular theory of ideal gasses is a topic that we have to study in both our Physics and Chemistry syllabus.

A part is deriving the kinetic gas equation PV = \\frac {1}{3}mN froom the postulates of KMT. However, of the 3 Physics and 2 Chemistry textbooks I've consulted, all.