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Journal articles on the topic 'Homogeneous Relaxation Model'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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1

Ohkawa, K. "ICONE15-10708 ASSESSMENT OF HOMOGENEOUS NON-EQUILIBRIUM RELAXATION CRITICAL FLOW MODEL." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2007.15 (2007): _ICONE1510. http://dx.doi.org/10.1299/jsmeicone.2007.15._icone1510_380.

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2

Faccanoni, Gloria, Bérénice Grec, and Yohan Penel. "A homogeneous relaxation low mach number model." ESAIM: Mathematical Modelling and Numerical Analysis 55, no. 4 (2021): 1569–98. http://dx.doi.org/10.1051/m2an/2021032.

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In the present paper, we investigate a new homogeneous relaxation model describing the behaviour of a two-phase fluid flow in a low Mach number regime, which can be obtained as a low Mach number approximation of the well-known HRM. For this specific model, we derive an equation of state to describe the thermodynamics of the two-phase fluid. We prove some theoretical properties satisfied by the solutions of the model, and provide a well-balanced scheme. To go further, we investigate the instantaneous relaxation regime, and prove the formal convergence of this model towards the low Mach number a

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3

Bilicki, Z., D. Kardas, and E. E. Michaelides. "Relaxation Models for Wave Phenomena in Liquid-Vapor Bubble Flow in Channels." Journal of Fluids Engineering 120, no. 2 (1998): 369–77. http://dx.doi.org/10.1115/1.2820657.

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We examine wave characteristics of a liquid-vapor mixture in order to investigate certain features of the homogeneous relaxation model. The model is described by one-dimensional averaged mass, momentum, energy equations, and a rate equation. Since the homogeneous relaxation model delivers a qualitative incompatibility of numerical and experiment results of large wave propagation, it is extended so as to take into account the heat conduction in the liquid surrounding vapor bubbles. With this extension, the effects of spreading and damping of the waves in the numerical solutions are similar to t

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4

Zaghdoudi, Maha, Anja Kömmling, Matthias Jaunich, and Dietmar Wolff. "Erroneous or Arrhenius: A Degradation Rate-Based Model for EPDM during Homogeneous Ageing." Polymers 12, no. 9 (2020): 2152. http://dx.doi.org/10.3390/polym12092152.

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To improve the predictive capability of long-term stress relaxation of elastomers during thermo-oxidative ageing, a method to separate reversible and irreversible processes was adopted. The separation is performed through the analysis of compression set after tempering. On the basis of this separation, a numerical model for long-term stress relaxation during homogeneous ageing is proposed. The model consists of an additive contribution of physical and chemical relaxation. Computer simulations of compression stress relaxation were performed for long ageing times and the results were validated w

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5

Fox, R. O. "The Lagrangian spectral relaxation model for differential diffusion in homogeneous turbulence." Physics of Fluids 11, no. 6 (1999): 1550–71. http://dx.doi.org/10.1063/1.870018.

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6

COQUEL, FRÉDÉRIC, EDWIGE GODLEWSKI, and NICOLAS SEGUIN. "RELAXATION OF FLUID SYSTEMS." Mathematical Models and Methods in Applied Sciences 22, no. 08 (2012): 1250014. http://dx.doi.org/10.1142/s0218202512500145.

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We propose a relaxation framework for general fluid models which can be understood as a natural extension of the Suliciu approach in the Euler setting. In particular, the relaxation system may be totally degenerate. Several stability properties are proved. The relaxation procedure is shown to be efficient in the numerical approximation of the entropy weak solutions of the original PDEs. The numerical method is particularly simple in the case of a fully degenerate relaxation system for which the solution of the Riemann problem is explicit. Indeed, the Godunov solver for the homogeneous relaxati

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7

Saha, Kaushik, Sibendu Som, and Michele Battistoni. "INVESTIGATION OF HOMOGENEOUS RELAXATION MODEL PARAMETERS AND THEIR IMPLICATIONS FOR GASOLINE INJECTORS." Atomization and Sprays 27, no. 4 (2017): 345–65. http://dx.doi.org/10.1615/atomizspr.2017016338.

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8

Fox, R. O. "The spectral relaxation model of the scalar dissipation rate in homogeneous turbulence." Physics of Fluids 7, no. 5 (1995): 1082–94. http://dx.doi.org/10.1063/1.868550.

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9

Fox, R. O. "The Lagrangian spectral relaxation model of the scalar dissipation in homogeneous turbulence." Physics of Fluids 9, no. 8 (1997): 2364–86. http://dx.doi.org/10.1063/1.869357.

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10

Haida, M., M. Palacz, J. Smolka, A. J. Nowak, A. Hafner, and K. Banasiak. "A modified homogeneous relaxation model for CO2 two-phase flow in vapour ejector." Journal of Physics: Conference Series 745 (September 2016): 032159. http://dx.doi.org/10.1088/1742-6596/745/3/032159.

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11

Saeed, Anwar, Saeed Islam, Abdullah Dawar, Zahir Shah, Poom Kumam, and Waris Khan. "Influence of Cattaneo–Christov Heat Flux on MHD Jeffrey, Maxwell, and Oldroyd-B Nanofluids with Homogeneous-Heterogeneous Reaction." Symmetry 11, no. 3 (2019): 439. http://dx.doi.org/10.3390/sym11030439.

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This research article deals with the determination of magnetohydrodynamic steady flow of three combile nanofluids (Jefferey, Maxwell, and Oldroyd-B) over a stretched surface. The surface is considered to be linear. The Cattaneo–Christov heat flux model was considered necessary to study the relaxation properties of the fluid flow. The influence of homogeneous-heterogeneous reactions (active for auto catalysts and reactants) has been taken in account. The modeled problem is solved analytically. The impressions of the magnetic field, Prandtl number, thermal relaxation time, Schmidt number, homoge

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12

Chiavazzo, Eliodoro, Pietro Asinari, and Filippo Visconti. "Fast computation of multi-scale combustion systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1945 (2011): 2396–404. http://dx.doi.org/10.1098/rsta.2011.0026.

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In the present work, we illustrate the process of constructing a simplified model for complex multi-scale combustion systems. To this end, reduced models of homogeneous ideal gas mixtures of methane and air are first obtained by the novel relaxation redistribution method, and thereafter used for the extraction of all the missing variables in a reactive flow simulation with a global reaction model.

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13

Ishii, Mitsuru. "Nonequilibrium Process in the σ Model and Chemical Relaxation Time in a Homogeneous Pionic Gas". Australian Journal of Physics 50, № 1 (1997): 3. http://dx.doi.org/10.1071/p96032.

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In a homogeneous pionic gas system, a chemical nonequilibrium process is understood to have an effect in the expansion processes that are realized immediately after heavy ion collisions. The chemical relaxation time is calculated by incorporating the π+π↔π +π +π+π reaction, which is given in the second order of perturbation in the s model. The π+π↔π +π +π+π reaction is assumed to be less frequent than the π+π↔π +π scattering that is expected to establish the local equilibrium, and the hydrodynamical equation is solved for various initial conditions. It is shown that the relaxation time is of t

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14

OKAMURA, HIROKAZU, KAORI SUZUKI, TAKESHI MORI, KEIJI MINAGAWA, SEIZO MASUDA, and MASAMI TANAKA. "CHAIN BEHAVIOR IN MODEL HOMOGENEOUS ER FLUIDS DEPENDING ON TEMPERATURE." International Journal of Modern Physics B 16, no. 17n18 (2002): 2385–91. http://dx.doi.org/10.1142/s0217979202012402.

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Water-soluble urethane-modified polyethers were prepared by addition of poly(ethylene oxide)-co-poly(propylene oxide) and aromatic isocyanate compounds. These polymers were found to dissolve in water at lower temperature and separate from solution upon heating. The temperature showing this unusual solubility change is called lower critical solution temperature (LCST). These chemical structures of thermo-responsive polymers were similar to those of urethane-modified ER active polymers containing poly(tetramethylene oxide) and aromatic urethane moiety. The thermo-responsive and ER polymers may h

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15

Mathis, Hélène. "A thermodynamically consistent model of a liquid-vapor fluid with a gas." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 1 (2019): 63–84. http://dx.doi.org/10.1051/m2an/2018044.

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This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are miscible, the mixture is subjected to a non-symmetric constraint on the volume. Adopting the Gibbs formalism, the study of the extensive equilibrium entropy of the system allows to recover the Dalton’s law between the two gaseous phases. In addition, we distinguish whether phase transition occurs or not between the liquid and its vapor. The thermodynamical equilibria are described both in extensive and intensive variables. In the latter case, we focus on th

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16

Beuthe, Mikael. "Isostasy with Love: II Airy compensation arising from viscoelastic relaxation." Geophysical Journal International 227, no. 1 (2021): 693–716. http://dx.doi.org/10.1093/gji/ggab241.

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SUMMARY In modern geodynamics, isostasy can be viewed either as the static equilibrium of the crust that minimizes deviatoric stresses, or as a dynamic process resulting from the viscous relaxation of the non-hydrostatic crustal shape. Paper I gave a general formulation of Airy isostasy as an elastic loading problem solved with Love numbers, and applied it to the case of minimum stress isostasy. In this sequel, the same framework is used to study Airy isostasy as the long-time evolution of a viscoelastic shell submitted to surface and internal loads. Isostatic ratios are defined in terms of ti

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17

Gadomski, A. "A Simple Phenomenological Model of the Stress Relaxation in Slowly Evolving 3D Polycrystalline Materials." Modern Physics Letters B 11, no. 15 (1997): 645–57. http://dx.doi.org/10.1142/s0217984997000797.

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The phenomenon of propagation of a stress field through complex 3d polycrystalline materials along the grain boundaries performing very slow random motion is studied. After applying the Hall–Petch coupling relation it turns out that the relaxation process proceeds in time anomalously. As a consequence, a fractional evolution equation of order one half for the relaxation function is postulated and its solutions are presented. Interpretations of the process in terms of the diffusion on a comb-like structure (antipersistent Random Walk with d w =4 and/or the generalized Gauss–Kolmogorov (in)homog

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18

Neinhüs, B., S. Decker, P. Graf, F. M. Bufler, and B. Meinerzhagen. "Consistent Hydrodynamic and Monte-Carlo Simulation of SiGe HBTs Based on Table Models the Relaxation Times." VLSI Design 8, no. 1-4 (1998): 387–91. http://dx.doi.org/10.1155/1998/49783.

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Good agreement between a hydrodynamic and a Monte-Carlo device model is demonstrated in this paper for an advanced SiGe Heterojunction Bipolar Transistor. This result is based on two principles: 1) Extraction (from the Monte-Carlo bulk model under homogeneous conditions) of the relaxation times τ at discrete points of the parameter space spanned by the Ge-content x, doping density N, carrier temperature TC and lattice temperature TL. 2) Modeling of the relaxation times τ(x, TC, TL) by splines.

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19

Tarlakovskii, Dmitry, and Andrei Zemskov. "An Elastodiffusive Orthotropic Euler–Bernoulli Beam Considering Diffusion Flux Relaxation." Mathematical and Computational Applications 24, no. 1 (2019): 23. http://dx.doi.org/10.3390/mca24010023.

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This article considers an unsteady elastic diffusion model of Euler–Bernoulli beam oscillations in the presence of diffusion flux relaxation. We used the model of coupled elastic diffusion for a homogeneous orthotropic multicomponent continuum to formulate the problem. A model of unsteady bending for the elastic diffusive Euler–Bernoulli beam was obtained using Hamilton’s variational principle. The Laplace transform on time and the Fourier series expansion by the spatial coordinate were used to solve the obtained problem.

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20

Zhai, Jun-Jun, Xiang-Xia Kong, and Lu-Chen Wang. "Thermo-Viscoelastic Response of 3D Braided Composites Based on a Novel FsMsFE Method." Materials 14, no. 2 (2021): 271. http://dx.doi.org/10.3390/ma14020271.

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A homogenization-based five-step multi-scale finite element (FsMsFE) simulation framework is developed to describe the time-temperature-dependent viscoelastic behavior of 3D braided four-directional composites. The current analysis was performed via three-scale finite element models, the fiber/matrix (microscopic) representative unit cell (RUC) model, the yarn/matrix (mesoscopic) representative unit cell model, and the macroscopic solid model with homogeneous property. Coupling the time-temperature equivalence principle, multi-phase finite element approach, Laplace transformation and Prony ser

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21

Zhai, Jun-Jun, Xiang-Xia Kong, and Lu-Chen Wang. "Thermo-Viscoelastic Response of 3D Braided Composites Based on a Novel FsMsFE Method." Materials 14, no. 2 (2021): 271. http://dx.doi.org/10.3390/ma14020271.

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A homogenization-based five-step multi-scale finite element (FsMsFE) simulation framework is developed to describe the time-temperature-dependent viscoelastic behavior of 3D braided four-directional composites. The current analysis was performed via three-scale finite element models, the fiber/matrix (microscopic) representative unit cell (RUC) model, the yarn/matrix (mesoscopic) representative unit cell model, and the macroscopic solid model with homogeneous property. Coupling the time-temperature equivalence principle, multi-phase finite element approach, Laplace transformation and Prony ser

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22

Minagawa, Keiji, Hirokazu Okamura, Seizo Masuda, and Masami Tanaka. "NMR Analysis of Molecular Motion of Polyurethane Fluid." International Journal of Modern Physics B 13, no. 14n16 (1999): 1975–82. http://dx.doi.org/10.1142/s0217979299002034.

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Urethane modified polyethers having hard-soft-hard structure were prepared as simple model compounds for homogeneous ER fluids. The NMR relaxation analysis was applied to these polyurethane ER fluids, and the molecular motions and interactions were studied with a series of the data of spin-lattice relaxation time T 1 and the spin-spin relaxation time T 2. Two hard-soft-hard urethanes, which showed opposite ER effects, were found to have similar relaxation behaviors under no electric field. The temperature dependence of T 1 indicated existence of significant intermolecular interaction and the c

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23

Haida, Michal, Jacek Smolka, Armin Hafner, Michal Palacz, Krzysztof Banasiak, and Andrzej J. Nowak. "Modified homogeneous relaxation model for the R744 trans-critical flow in a two-phase ejector." International Journal of Refrigeration 85 (January 2018): 314–33. http://dx.doi.org/10.1016/j.ijrefrig.2017.10.010.

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24

Brown, S., S. Martynov, H. Mahgerefteh, and C. Proust. "A homogeneous relaxation flow model for the full bore rupture of dense phase CO2 pipelines." International Journal of Greenhouse Gas Control 17 (September 2013): 349–56. http://dx.doi.org/10.1016/j.ijggc.2013.05.020.

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25

Soulhat, J., M. D. Buschmann, and A. Shirazi-Adl. "A Fibril-Network-Reinforced Biphasic Model of Cartilage in Unconfined Compression." Journal of Biomechanical Engineering 121, no. 3 (1999): 340–47. http://dx.doi.org/10.1115/1.2798330.

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Cartilage mechanical function relies on a composite structure of a collagen fibrillar network entrapping a proteoglycan matrix. Previous biphasic or poroelastic models of this tissue, which have approximated its composite structure using a homogeneous solid phase, have experienced difficulties in describing measured material responses. Progress to date in resolving these difficulties has demonstrated that a constitutive law that is successful for one test geometry (confined compression) is not necessarily successful for another (unconfined compression). In this study, we hypothesize that an al

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26

Majchrzak, Ewa, and Bohdan Mochnacki. "Numerical model of biological tissue heating using the models of bio–heat transfer with delays." E3S Web of Conferences 128 (2019): 02002. http://dx.doi.org/10.1051/e3sconf/201912802002.

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The numerical model of thermal processes in domain of biological tissue subjected to an external heat source is discussed. The model presented is based on the second order dual–phase–lag equation (DPLE) in which the relaxation time and thermalization time thermalization time (τq and τT) are tak n into account. In this paper the homogeneous, cylindrical skin tissue domain is considered. The most important aim of the research is to compare the results obtained using the classical model (the first-orderDPLE) with the numerical solution resulting from the higher order form of this equation. At the

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27

Lorino, A. M., and A. Harf. "Techniques for measuring respiratory mechanics: an analytic approach with a viscoelastic model." Journal of Applied Physiology 74, no. 5 (1993): 2373–79. http://dx.doi.org/10.1152/jappl.1993.74.5.2373.

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A homogeneous model with stress relaxation that is described by a pure viscoelastic component was recently proposed to describe the mechanical behavior of the respiratory system during mechanical ventilation (Bates et al. J. Appl. Physiol. 67: 2276–2285, 1989). With the use of this model, analytic expressions of the pressure in response to typical volume inputs are developed, and the recently published studies relating to the influence of the ventilatory pattern on respiratory mechanics are reviewed and analyzed. The analytic expression of pressure responses to rapid airway occlusion following

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28

Zoler, D., and S. Cuperman. "An analytical solution to the Boltzmann–Fokker–Planck equation for multi-component non-homogeneous plasmas." Journal of Plasma Physics 41, no. 3 (1989): 457–67. http://dx.doi.org/10.1017/s002237780001401x.

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The previously obtained analytical solution to the Boltzmann equation for nonhomogeneous plasmas with relative large temperature and density gradients is generalized in the following sense. (i) The relatively simple Bhatnagar, Gross and Krook collision operator is replaced by the Fokker-Planck operator expressed in terms of relaxation rates (slowing down, energy exchange, etc.). (ii) The simple Lorentzian plasma model is replaced by a multi-component plasma model with realistic masses and temperatures.

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29

Chernyak, Vladimir, Andrei Piryatinski, and Shaul Mukamel. "Complete Determination of Relaxation Parameters From Two-Dimensional Raman Spectroscopy." Laser Chemistry 19, no. 1-4 (1999): 109–16. http://dx.doi.org/10.1155/1999/26946.

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Using the model of a weakly-anharmonic, underdamped oscillator coupled to a bath, we demonstrate that the 2D time-resolved Raman signal carries information about the population decay T1, the homogeneous dephasing T2, and the inhomogeneous dephasing T1 relaxation timescales. We distinguish between two projections of the 2D signal: first, the echo signal, which is stretched in the diagonal direction decays with T2, and the second which is stretched along one axis is related to the population relaxation and decays with T1. The width of both signals reflects T1. Equations of motion for vibrational

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30

SINGH, NAVINDER. "RELAXATION OF FEMTOSECOND PHOTOEXCITED ELECTRONS IN A METALLIC SAMPLE." Modern Physics Letters B 18, no. 18 (2004): 979–86. http://dx.doi.org/10.1142/s0217984904007487.

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A model calculation is given for the energy relaxation of a nonequilibrium distribution of hot electrons prepared in a metallic sample that has been subjected to homogeneous photo-excitation by a femtosecond laser pulse. The model assumes that the photoexcitation creates two interpenetrating electronic subsystems, initially comprising of a dilute energy-wise higher-lying nondegenerate hot electron subsystem, and a relatively dense, lower-lying electron subsystem which is degenerate. The relaxation process is taken to be dominated by the electron–(multi)phonon interaction, resulting in a quasi-

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31

Anwar, Shadab. "A generalized model for pumping well hydraulics in confined aquifers." Journal of Hydroinformatics 20, no. 5 (2018): 1085–99. http://dx.doi.org/10.2166/hydro.2018.158.

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Abstract A generalized model for well hydraulics in confined aquifers is presented. The lattice Boltzmann method (LBM)-based altered-velocity model is used to simulate well hydraulics in homogeneous and heterogeneous confined aquifers for different pumping conditions. LBM is applied to simulate well hydraulics in two different configurations of heterogeneous aquifer, where (1) a circular disk of material or (2) an infinite linear strip of material is embedded in a matrix of differing hydraulic properties. The effect of hydrogeologic boundaries on drawdown curve in confined aquifers is simulate

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32

Palacz, M., M. Haida, J. Smolka, A. J. Nowak, and A. Hafner. "A comparison of homogeneous equilibrium and relaxation model for CO2 expansion inside the two-phase ejector." Journal of Physics: Conference Series 745 (September 2016): 032158. http://dx.doi.org/10.1088/1742-6596/745/3/032158.

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33

Teng, Lin, Xiong Liu, Jiang Bian, Yuxing Li, and Cheng Lu. "A homogeneous relaxation model for multi-phase CO2 jets following the release of supercritical CO2 pipelines." Journal of Natural Gas Science and Engineering 84 (December 2020): 103609. http://dx.doi.org/10.1016/j.jngse.2020.103609.

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34

He, Zhixia, Liang Zhang, Kaushik Saha, Sibendu Som, Lian Duan, and Qian Wang. "Investigations of effect of phase change mass transfer rate on cavitation process with homogeneous relaxation model." International Communications in Heat and Mass Transfer 89 (December 2017): 98–107. http://dx.doi.org/10.1016/j.icheatmasstransfer.2017.09.021.

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35

SINGH, SONALIKA, and SUSHIL KUMAR. "NUMERICAL ANALYSIS OF TRIPLE LAYER SKIN TISSUE FREEZING USING NON-FOURIER HEAT CONDUCTION." Journal of Mechanics in Medicine and Biology 16, no. 02 (2016): 1650017. http://dx.doi.org/10.1142/s0219519416500172.

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The classical Fourier’s law assumes that the propagation speed of thermal disturbance is infinite, which is contradictory to physical reality. The living tissues are highly non-homogeneous and need a relaxation time to accumulate enough energy to transfer to the nearest element. This study proposes hyperbolic bio-heat model to study the freezing process in triple layer skin tissue with non-ideal property of skin tissue, metabolism and blood perfusion. The enthalpy formulation and finite difference method are used to solve the hyperbolic bio-heat model for triple layer skin tissue freezing. The

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36

Voshchepynets, A., and V. Krasnoselskikh. "Electron beam relaxation in inhomogeneous plasmas." Annales Geophysicae 31, no. 8 (2013): 1379–85. http://dx.doi.org/10.5194/angeo-31-1379-2013.

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Abstract. In this work, we studied the effects of background plasma density fluctuations on the relaxation of electron beams. For the study, we assumed that the level of fluctuations was so high that the majority of Langmuir waves generated as a result of beam-plasma instability were trapped inside density depletions. The system can be considered as a good model for describing beam-plasma interactions in the solar wind. Here we show that due to the effect of wave trapping, beam relaxation slows significantly. As a result, the length of relaxation for the electron beam in such an inhomogeneous

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ONDARÇUHU, THIERRY. "RELAXATION MODES OF THE CONTACT LINE IN SITUATION OF PARTIAL WETTING." Modern Physics Letters B 06, no. 15 (1992): 901–16. http://dx.doi.org/10.1142/s0217984992001757.

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We present here a brief review of theoretical and experimental results concerning the relaxation modes of the contact line between a solid, a liquid and a gas. This study constitutes a first step in view of the elucidation of wetting of non-homogeneous surfaces. The dispersion law giving the characteristic relaxation rate as a function of the wavevector of the deformation is derived from the balance of elastic driving force and dissipation processes. The very anomalous form of the dispersion law is confirmed by experimental measurements achieved on model surfaces using an original method to de

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38

Burlot, A., B. J. Gréa, F. S. Godeferd, C. Cambon, and J. Griffond. "Spectral modelling of high Reynolds number unstably stratified homogeneous turbulence." Journal of Fluid Mechanics 765 (January 15, 2015): 17–44. http://dx.doi.org/10.1017/jfm.2014.726.

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AbstractWe study unconfined homogeneous turbulence with a destabilizing background density gradient in the Boussinesq approximation. Starting from initial isotropic turbulence, the buoyancy force induces a transient phase toward a self-similar regime accompanied by a rapid growth of kinetic energy and Reynolds number, along with the development of anisotropic structures in the flow in the direction of gravity. We model this with a two-point statistical approach using an axisymmetric eddy-damped quasi-normal Markovian (EDQNM) closure that includes buoyancy production. The model is able to match

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39

Hérard, J. M., and H. Mathis. "A three-phase flow model with two miscible phases." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 4 (2019): 1373–89. http://dx.doi.org/10.1051/m2an/2019028.

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The paper concerns the modelling of a compressible mixture of a liquid, its vapor and a gas. The gas and the vapor are miscible while the liquid is immiscible with the gaseous phases. This assumption leads to non symmetric constraints on the void fractions. We derive a three-phase three-pressure model endowed with an entropic structure. We show that interfacial pressures are uniquely defined and propose entropy-consistent closure laws for the source terms. Naturally one exhibits that the mechanical relaxation complies with Dalton’s law on the phasic pressures. Then the hyperbolicity and the ei

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40

DUAN, RENJUN. "GLOBAL SMOOTH FLOWS FOR THE COMPRESSIBLE EULER–MAXWELL SYSTEM: THE RELAXATION CASE." Journal of Hyperbolic Differential Equations 08, no. 02 (2011): 375–413. http://dx.doi.org/10.1142/s0219891611002421.

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The Euler–Maxwell system regarded as a hydrodynamic model for plasma physics describes the dynamics of 'compressible electrons' in a constant, charged, non-moving ion background. A global smooth flow with small amplitude is constructed here in three space dimensions when the electron velocity relaxation is taken into account. The speed of the electron flow tending to a uniform equilibrium, and the pointwise behavior of solutions to the linearized homogeneous system in the frequency space are investigated in detail.

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41

REDDY, K. SREERAM, and Ch MAHESH. "Thermo-Fluid Mechanics of gas-Solid Particle Flows over horizontal Flat Plate." Journal of Ultra Scientist of Physical Sciences Section A 33, no. 1 (2021): 1–8. http://dx.doi.org/10.22147/jusps-a/330101.

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Mathematical model has been developed to protect fluid and solid particle homogeneous mixture velocity concentration and temperature for a heated horizontal flat plate. Conversation equation based on Eulerian scale are approximated for small relaxation times through stream function and similarity transformations. Parametric database generated through computer program for arbitrary constants on comparison with clear fluid reveals the particle concentration has pronounced effect on velocity and temperature profiles.

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42

Kumar, Rajneesh, Aseem Miglani, and Rekha Rani. "Response of Thermoelastic Interactions in Micropolar Porous Circular Plate with Three Phase Lag Model." Mechanics and Mechanical Engineering 22, no. 4 (2020): 999–1014. http://dx.doi.org/10.2478/mme-2018-0080.

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AbstractThe present study deals with a homogeneous and isotopic micropolar porous thermoelastic circular plate by employing eigenvalue approach in the three phase lag theory of thermoelasticity due to thermomechanical sources. The expressions of components of displacements, microrotation, volume fraction field, temperature distribution, normal stress, shear stress and couple shear stress are obtained in the transformed domain by employing the Laplace and Hankel transforms. The resulting quantities are obtained in the physical domain by employing the numerical inversion technique. Numerical com

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Carcano, S., L. Bonaventura, T. Esposti Ongaro, and A. Neri. "A semi-implicit, second-order-accurate numerical model for multiphase underexpanded volcanic jets." Geoscientific Model Development 6, no. 6 (2013): 1905–24. http://dx.doi.org/10.5194/gmd-6-1905-2013.

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Abstract. An improved version of the PDAC (Pyroclastic Dispersal Analysis Code, Esposti Ongaro et al., 2007) numerical model for the simulation of multiphase volcanic flows is presented and validated for the simulation of multiphase volcanic jets in supersonic regimes. The present version of PDAC includes second-order time- and space discretizations and fully multidimensional advection discretizations in order to reduce numerical diffusion and enhance the accuracy of the original model. The model is tested on the problem of jet decompression in both two and three dimensions. For homogeneous je

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Lee, S. Y., and V. E. Schrock. "Critical Two-Phase Flow in Pipes for Subcooled Stagnation States With a Cavity Flooding Incipient Flashing Model." Journal of Heat Transfer 112, no. 4 (1990): 1032–40. http://dx.doi.org/10.1115/1.2910475.

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Analysis of loss of coolant accident (LOCA) scenarios in nuclear reactor safety evaluation depends on knowledge of many complex phenomena. A primary phenomenon controlling the sequence of events, by determining the residual coolant mass inventory within the primary system, is the critical flow process. Critical flow of a flashing liquid is complicated by marked departure from thermal equilibrium. Several complex models have been proposed to represent the non-equilibrium effects, including six-equation two-fluid models. Amos and Schrock (1983) developed a model based on the premise that the two

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Pavlyuk, Y. V. "Creep of isotropic homogeneous and nonaging of linear-viscoelastic materials under the complex stress state." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 1 (2019): 150–53. http://dx.doi.org/10.17721/1812-5409.2019/1.34.

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The relaxation of isotropic homogeneous and non-aging linear-viscoelastic materials under conditions of complex stress state is considered. Thin-walled tubular specimens of High Density Polyethylene (HDPE) for creep under a single-axial stretching, with a pure twist and combined load tension and torsion are considered as base experiments, tests. The solution is obtained by generalizing the initial one-dimensional viscoelasticity model to a complex stressed state, constructed using the hypothesis of the proportionality of deviators. The heredity kernels are given by the Rabotnov’s fractional-ex

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Monastyrskii, L. S., B. S. Sokolovskii, M. R. Pavlyk, and P. P. Parandii. "Modeling of Photoconductivity of Porous Silicon." Advances in OptoElectronics 2011 (August 24, 2011): 1–4. http://dx.doi.org/10.1155/2011/896962.

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The paper investigates a model of the photoconductivity of macroporous silicon in the conditions of homogeneous generation of photocarriers. By the finite element method, the stationary photoconductivity and the time evolution of photoconductivity after instantaneous shutdown of light are calculated. Dependences of the stationary photoconductivity and relaxation time of photoconductivity on the velocity of recombination of nonequilibrium carriers at the surfaces of pores, radius of pores, and average distance between them are analyzed.

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El-Zant, Amr A., Jonathan Freundlich, Françoise Combes, and Anaelle Halle. "The effect of fluctuating fuzzy axion haloes on stellar dynamics: a stochastic model." Monthly Notices of the Royal Astronomical Society 492, no. 1 (2019): 877–94. http://dx.doi.org/10.1093/mnras/stz3478.

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ABSTRACT Fuzzy dark matter of ultralight axions has gained attention, largely in light of the galactic scale problems associated with cold dark matter. But the large de Broglie wavelength, believed to possibly alleviate these problems, also leads to fluctuations that place constraints on ultralight axions. We adapt and extend a method, previously devised to describe the effect of gaseous fluctuations on cold dark matter cusps, in order to determine the imprints of ultralight axion haloes on the motion of classical test particles. We first evaluate the effect of fluctuations in a statistically

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Chen, Xiao-Peng, and Ming Liu. "Simulation of Acoustic Behavior of Bubbly Liquids with Hybrid Lattice Boltzmann and Homogeneous Equilibrium Models." Communications in Computational Physics 17, no. 4 (2015): 925–36. http://dx.doi.org/10.4208/cicp.2014.m283.

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AbstractHomogeneous equilibrium model (HEM) has been widely used in cavitating flow simulations. The major feature of this model is that a single equation of state (EOS) is proposed to describe the thermal behavior of bubbly liquid, where both kinematic and thermal equilibrium is assumed between two phases. In this paper, the HEM was coupled with multi-relaxation-time lattice Boltzmann model (MRT-LBM) and the acoustic behavior was simulated. Two approaches were applied alternatively: adjusting speed of sound (Buick, J. Phys. A, 2006, 39:13807-13815) and setting real gas EOS. Both approaches re

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Matin, Zahra, Mahdi Moghimi Zand, Mehdi Salmani Tehrani, Brianna Regina Wendland, and Roozbeh Dargazany. "A visco-hyperelastic constitutive model of short- and long-term viscous effects on isotropic soft tissues." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 1 (2019): 3–17. http://dx.doi.org/10.1177/0954406219875771.

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Understanding and modeling the constitutive behavior of soft tissues represents an important challenge with significant relevance in medicine and biology. In this paper, we propose a new visco-hyperelastic model to describe the constitutive behavior of soft tissues as an isotropic and homogeneous material. The model is based on the nonlinear framework of continuum mechanics. A generalized Rivlin strain energy and a short-term viscous strain energy are used to describe the elastic part and time-dependence viscous part, respectively, while a long-term viscous function is derived through an integ

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Carcione, Jose M. "Constitutive model and wave equations for linear, viscoelastic, anisotropic media." GEOPHYSICS 60, no. 2 (1995): 537–48. http://dx.doi.org/10.1190/1.1443791.

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Rocks are far from being isotropic and elastic. Such simplifications in modeling the seismic response of real geological structures may lead to misinterpretations, or even worse, to overlooking useful information. It is useless to develop highly accurate modeling algorithms or to naively use amplitude information in inversion processes if the stress‐strain relations are based on simplified rheologies. Thus, an accurate description of wave propagation requires a rheology that accounts for the anisotropic and anelastic behavior of rocks. This work presents a new constitutive relation and the cor

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