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Effect of Dynamic Pressure on the Shock Structure and Sub-shock Formation in a Mixture of Polyatomic Gases
We study the shock structure and the sub-shock formation in a binary mixture of rarefied polyatomic gases, considering the dissipation only due to...
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Compactness Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases
In this paper we shall concern ourselves with a kinetic description of gas mixtures for polyatomic molecules. In particular, we will consider the...
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Shock structure and sub-shocks formation in a mixture of polyatomic gases with large bulk viscosity
We continue our previous study on the sub-shock formation in a binary mixture of gases (Ruggeri in Phys. Fluids 34: 066116, 2022) by considering the...
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A kinetic model of polyatomic gas with resonant collisions
We propose a kinetic model describing a polyatomic gas undergoing resonant collisions, in which the microscopic internal and kinetic energies are...
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A Kinetic BGK Relaxation Model for a Reacting Mixture of Polyatomic Gases
We present a kinetic model of BGK-type for a mixture of four polyatomic gases, each one having its own number of internal energy levels, subject also...
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Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis
A relativistic version of the Kinetic Theory for polyatomic gas is considered and a new hierarchy of moments that takes into account the total energy...
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Acceleration waves in a spherical oscillating gas bubble containing a gas mixture
The non-equilibrium phenomena that characterize the dynamics of an oscillating bubble in a liquid are generally very complex. In this work we study...
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BGK Model for a Mixture with Two Reversible Reactions
We construct a kinetic model of BGK type for a mixture of eight polyatomic gases undergoing two separate bimolecular and reversible chemical...
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System of Balance Laws of Mixture Type: Mixture of Dissipative Polyatomic Gases
System of balance laws of mixture type is a system of partial differential equations that has a structure similar to the system of a mixture of...
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Scientific School of Nonequilibrium Aeromechanics at St. Petersburg State University
AbstractThe review describes the creation and development of the scientific school of Sergei Vasilyevich Vallander at the Leningrad (now St....
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Linearized Boltzmann Collision Operator: I. Polyatomic Molecules Modeled by a Discrete Internal Energy Variable and Multicomponent Mixtures
The linearized Boltzmann collision operator appears in many important applications of the Boltzmann equation. Therefore, knowing its main properties...
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Three-Dimensional Simulation of a High-Velocity Body Motion in a Tube with Rarefied Gas
AbstractFlow around a body moving at a high subsonic velocity in a tube filled with rarefied gas is studied. This aerodynamic problem is considered...
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Classical and Relativistic Rational Extended Thermodynamics of Gases
Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the...
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Introduction and Overview
In this chapter, before going into details, we give an overview of the present book, starting with a short history of nonequilibrium thermodynamics...
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Numerical Simulation of Gas Mixtures Based on the Quasi-Gasdynamic Approach as Applied to the Interaction of a Shock Wave with a Gas Bubble
AbstractA new numerical algorithm for simulating transonic flows of nonreacting gas mixtures is proposed. The algorithm is based on the finite volume...
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Testing the Kinetic-Hydrodynamic Model by Calculating the Flow Above an Absorbing Surface
AbstractThe paper considers the problem of a flow around a thin plate of infinite span. The frontal surface of the plate absorbs gas. For the...
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Regularized Equations for Numerical Simulation of Flows of Homogeneous Binary Mixtures of Viscous Compressible Gases
AbstractRegularized equations for binary mixtures of viscous compressible gases (in the absence of chemical reactions) are considered. Two new...
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Relativistic RET of Rarefied Monatomic Gas
In this chapter, firstly, the relativistic Euler model of a gas is presented with the proof that the system is symmetric hyperbolic for general...
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Shock Structure in a Macroscopic Model of Binary Mixtures
In this chapter, we study the shock wave structure in a mixture on the basis of the model of multi-temperature (MT) mixtures explained in Chap....
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Regression Models for Calculating State-to-State Coefficients of the Rate of Vibrational Energy Exchanges
AbstractThe paper proposes an effective algorithm for solving problems of nonequilibrium gas dynamics taking into account detailed state-to-state...
