The Experts below are selected from a list of 300 Experts worldwide ranked by ideXlab platform
Tetsufumi Hirano - One of the best experts on this subject based on the ideXlab platform.
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relativistic dissipative Hydrodynamic Equations at the second order for multi component systems with multiple conserved currents
Nuclear Physics, 2010Co-Authors: Akihiko Monnai, Tetsufumi HiranoAbstract:Abstract We derive the second order Hydrodynamic Equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel–Stewart theory and Grad's moment method. We find that, in addition to the conventional moment Equations, extra moment Equations associated with conserved currents should be introduced to consistently match the number of Equations with that of unknowns and to satisfy the Onsager reciprocal relations. Consistent expansion of the entropy current leads to constitutive Equations which involve the terms not appearing in the original Israel–Stewart theory even in the single component limit. We also find several terms which exhibit thermal diffusion such as Soret and Dufour effects. We finally compare our results with those of other existing formalisms.
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Relativistic dissipative Hydrodynamic Equations at the second order for multi-component systems with multiple conserved currents
Nuclear Physics A, 2010Co-Authors: Akihiko Monnai, Tetsufumi HiranoAbstract:We derive the second order Hydrodynamic Equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel-Stewart theory and Grad's moment method. We find that, in addition to the conventional moment Equations, extra moment Equations associated with conserved currents should be introduced to consistently match the number of Equations with that of unknowns and to satisfy the Onsager reciprocal relations. Consistent expansion of the entropy current leads to constitutive Equations which involve the terms not appearing in the original Israel-Stewart theory even in the single component limit. We also find several terms which exhibit thermal diffusion such as Soret and Dufour effects. We finally compare our results with those of other existing formalisms. ?? 2010 Elsevier B.V.
Teiji Kunihiro - One of the best experts on this subject based on the ideXlab platform.
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second order relativistic Hydrodynamic Equations for viscous systems how does the dissipation affect the internal energy
Physics Letters B, 2010Co-Authors: Kyosuke Tsumura, Teiji KunihiroAbstract:Abstract We derive the second-order dissipative relativistic Hydrodynamic Equations in a generic frame with a continuous parameter from the relativistic Boltzmann equation. We present explicitly the relaxation terms in the energy and particle frames. Our results show that the viscosities are frame-independent but the relaxation times are generically frame-dependent. We confirm that the dissipative part of the energy–momentum tensor in the particle frame satisfies δ T μ μ = 0 obtained for the first-order equation before, in contrast to the Eckart choice u μ δ T μ ν u ν = 0 adopted as a matching condition in the literature. We emphasize that the new constraint δ T μ μ = 0 can be compatible with the phenomenological derivation of Hydrodynamics based on the second law of thermodynamics.
Akihiko Monnai - One of the best experts on this subject based on the ideXlab platform.
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relativistic dissipative Hydrodynamic Equations at the second order for multi component systems with multiple conserved currents
Nuclear Physics, 2010Co-Authors: Akihiko Monnai, Tetsufumi HiranoAbstract:Abstract We derive the second order Hydrodynamic Equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel–Stewart theory and Grad's moment method. We find that, in addition to the conventional moment Equations, extra moment Equations associated with conserved currents should be introduced to consistently match the number of Equations with that of unknowns and to satisfy the Onsager reciprocal relations. Consistent expansion of the entropy current leads to constitutive Equations which involve the terms not appearing in the original Israel–Stewart theory even in the single component limit. We also find several terms which exhibit thermal diffusion such as Soret and Dufour effects. We finally compare our results with those of other existing formalisms.
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Relativistic dissipative Hydrodynamic Equations at the second order for multi-component systems with multiple conserved currents
Nuclear Physics A, 2010Co-Authors: Akihiko Monnai, Tetsufumi HiranoAbstract:We derive the second order Hydrodynamic Equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel-Stewart theory and Grad's moment method. We find that, in addition to the conventional moment Equations, extra moment Equations associated with conserved currents should be introduced to consistently match the number of Equations with that of unknowns and to satisfy the Onsager reciprocal relations. Consistent expansion of the entropy current leads to constitutive Equations which involve the terms not appearing in the original Israel-Stewart theory even in the single component limit. We also find several terms which exhibit thermal diffusion such as Soret and Dufour effects. We finally compare our results with those of other existing formalisms. ?? 2010 Elsevier B.V.
Muhammad Yousaf - One of the best experts on this subject based on the ideXlab platform.
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the space time cese method for solving special relativistic Hydrodynamic Equations
Journal of Computational Physics, 2012Co-Authors: Shamsul Qamar, Muhammad YousafAbstract:The special relativistic Hydrodynamic Equations are more complicated than the classical ones due to the nonlinear and implicit relations that exist between conservative and primitive variables. In this article, a space-time conservation element and solution element (CESE) method is proposed for solving these Equations in one and two space dimensions. The CESE method has capability to capture sharp propagating wavefront of the relativistic fluids without excessive numerical diffusion or spurious oscillations. In contrast to the existing upwind finite volume schemes, the Riemann solver and reconstruction procedure are not the building blocks of the suggested method. The method differs from previous techniques because of global and local flux conservation in a space-time domain without resorting to interpolation or extrapolation. The scheme is efficient, robust, and gives results comparable to those obtained with more sophisticated algorithms, even in highly relativistic two-dimensional test problems.
Boris V. Alexeev - One of the best experts on this subject based on the ideXlab platform.
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The Theory of Generalized Hydrodynamic Equations
Unified Non-Local Theory of Transport Processes, 2020Co-Authors: Boris V. AlexeevAbstract:The generalized Boltzmann equation (GBE) inevitably leads to formulation of new Hydrodynamic Equations, which are called generalized Hydrodynamic Equations (GHE). Classical Hydrodynamic Equations of Enskog, Euler, and Navier-Stokes are particular cases of these Equations.
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Generalized Boltzmann Physical Kinetics - CHAPTER 2 – Theory of Generalized Hydrodynamic Equations
Generalized Boltzmann Physical Kinetics, 2020Co-Authors: Boris V. AlexeevAbstract:This chapter discusses the theory of generalized Hydrodynamic Equations (GHEs). The generalized Boltzmann equation (GBE) leads to the formulation of new Hydrodynamic Equations called “GHEs.” The classical Hydrodynamic Equations of Enskog, Euler, and Navier–Stokes are particular cases of these Equations. For the derivation of GHEs, GBE can be transformed to the form that is convenient for further applications. The chapter shows that GHEs contain known kinetic-boundary conditions as asymptotic solutions near the wall. On the one hand, it means that GHEs can be applied for the description of a rarefied gas without additional kinetic conditions serving for adjusting kinetic and Hydrodynamic solutions in the boundary kinetic layer. On the other hand, it can be stated that “jump conditions” can be obtained as the solution of Hydrodynamic Equations that can be used for an adequate description of kinetic layer near the wall. The chapter also introduces reasonable assumptions often used in the theory of kinetic Knudsen layer. GHEs incorporate the kinetic effect of slip as an element of the adjusting of Hydrodynamic and kinetic regimes of flow—avoiding artificial fashions—to describe flows by intermediate flow numbers. This peculiar feature of GHE can be demonstrated in the calculations of sound propagation in rarefied gases and the shock-wave structure for arbitrary Mach numbers.
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Application of the Generalized Relativistic Hydrodynamic Equations to the Study of the Interaction of Planck Radiation With the Gravitational Field
Unified Non-Local Relativistic Theory of Transport Processes, 2020Co-Authors: Boris V. AlexeevAbstract:Nonlocal relativistic Hydrodynamic Equations describing the properties of the equilibrium (Planck) radiation in the gravitational field are derived. Analytical solutions of these Equations in the stationary one-dimensional case, as well as self-similar wave solutions, are obtained. These solutions are compared with experimental data. We should underline the following important information: 1. There is an area of physics in which nonlocal terms of the relativistic Hydrodynamic Equations are determinant and, moreover, local terms disappear. This is the theory of radiation, including radiation in the gravitational field.
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Generalized Hydrodynamic Equations and the Problem of Boundary Conditions
AIP Conference Proceedings, 2005Co-Authors: Boris V. AlexeevAbstract:Generalized Boltzmann equation (GBE) is applied for derivation of generalized Hydrodynamic Equations with taking into account the alternating gravitational field. The analog of Landau damping in gravitational field is considered on the basement of the generalized Boltzmann physical kinetics. The corresponding exact solution of dispersion equation is found. The problem of boundary conditions for generalized Hydrodynamic Equations is investigated.
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the generalized boltzmann equation generalized Hydrodynamic Equations and their applications
Philosophical Transactions of the Royal Society A, 1994Co-Authors: Boris V. AlexeevAbstract:The generalization of the Boltzmann equation is realized by taking into account the alteration of the distribution function on scales of the collision time order. The generalized Hydrodynamic Equations are derived on the basis of the generalized Boltzmann equation. The strict theory of turbulence on the Kolmogorov scale is developed. Examples and issues are given for the shock wave structure and sound wave propagation calculations.