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The classical problem of thermal explosion is modified so that the chemically active gas is not at rest but is flowing in a long cylindrical pipe. Up to a certain section the heat-conducting walls of the pipe are held at low temperature so…

Numerical Analysis · Mathematics 2025-10-20 G. I. Barenblatt , A. J. Chorin , A. Kast

A model in which a projectile like fragment can be simply regarded as a remnant after removal of some part of the projectile leads to an excited fragment. This excitation energy can be calculated with a Hamiltonian that gives correct…

Nuclear Theory · Physics 2015-06-15 S. Das Gupta , S. Mallik , G. Chaudhuri

The problem of thermal ignition in a homogeneous gas is revisited from a molecular dynamics perspective. A two-dimensional model is adopted, which assumes reactive disks of type A and B in a fixed area that react to form type C products if…

Chemical Physics · Physics 2016-11-01 Nick Sirmas , Matei I. Radulescu

Numerical heat and mass transfer analysis of a configuration where a cool liquid hydrocarbon is suddenly introduced to a hotter gas at supercritical pressure shows that a well-defined phase equilibrium can be established before substantial…

Fluid Dynamics · Physics 2022-04-25 Jordi Poblador-Ibanez , William A. Sirignano

We consider a generalization of the Gelfand problem arising in Frank-Kamenetskii theory of thermal explosion. This generalization is a natural extension of the Gelfand problem to two phase materials, where, in contrast to the classical…

Analysis of PDEs · Mathematics 2015-07-10 Peter V. Gordon , Vitaly Moroz

The classical problem of the thermal explosion in a long cylindrical vessel is modified so that only a fraction $\a$ of its wall is ideally thermally conducting while the remaining fraction $1-\a$ is thermally isolated. Partial isolation of…

Numerical Analysis · Mathematics 2025-10-20 G. I. Barenblatt , J. B. Bell , W. Y. Crutchfield

First we present the general equation form of a thermal explosion in a vessel with boundary values, later use central difference method and Newton iteration method to solve the relevant partial differential equations in one-dimensional and…

Numerical Analysis · Mathematics 2015-01-28 Xijian Wang , Tonghua Zeng

Amorphous media at finite temperatures, be them liquids, colloids or glasses, are made of interacting particles that move chaotically due to thermal energy, colliding and scattering continuously off each other. When the average…

Soft Condensed Matter · Physics 2017-06-27 Edan Lerner , Yoav G. Pollack , Itamar Procaccia , Birte Riechers

What is the interface temperature during phase transition (for instance, from liquid to vapor)? This question remains fundamentally unresolved. In the modeling of heat transfer problems with no phase change, the temperature and heat flux…

Statistical Mechanics · Physics 2023-11-02 Tom Y. Zhao , Neelesh A. Patankar

Both direct and indirect weak nonresonant interactions are shown to produce entanglement between two initially disentangled systems prepared as a tensor product of thermal states, provided the initial temperature is sufficiently low.…

Quantum Physics · Physics 2009-11-11 Michael Khasin , Ronnie Kosloff

Since their discovery in 1822, supercritical fluids have been of enduring interest, and have started to be deployed in many important applications. Theoretical understanding of the supercritical state is lacking, and is seen to limit…

Chemical Physics · Physics 2013-08-19 Dima Bolmatov , V. V. Brazhkin , K. Trachenko

A mathematical model has been developed to simulate the kinetic and thermal behaviour of a porous solid pellet undergoing chemical reaction with a gas. The model describes the chemical reaction itself, the transfer of the gaseous species…

Chemical Physics · Physics 2016-12-14 F Patisson , D Ablitzer

The paper represents original development of thermodynamic criteria of occurrence conditions of steam-gas explosions in the process of severe accidents. The received results can be used for modelling of processes of severe accidents in…

General Physics · Physics 2012-04-03 V. I. Skalozubov , V. N. Vashchenko , S. S. Jarovoj , V. Yu. Kochnyeva

The Zeroth Law of Thermodynamics states that if two systems are in thermal equilibrium with a third one, then they are also in equilibrium with each other. This study explores not only the final state of thermal equilibrium between ideal…

Statistical Mechanics · Physics 2026-02-13 Jonathas N. da Silva , Octavio D. Rodriguez Salmon , Minos A. Neto

The paper is concerned with identification of the key mechanisms controlling deflagration-to-detonation transition in stellar medium. The issue of thermal runaway triggered by positive feedback between the advancing flame and the…

Fluid Dynamics · Physics 2021-04-27 Peter V. Gordon , Leonid Kagan , Gregory Sivashinsky

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

A thermodynamic phase transition denotes a drastic change of state of a physical system due to a continuous change of thermodynamic variables, as for instance pressure and temperature. The classical van der Waals equation of state is the…

Mathematical Physics · Physics 2015-06-16 Antonio Moro

Thermal models have proven to be an useful and simple tool used to make theoretical predictions and data analysis in relativistic and ultra-relativistic heavy ion collisions. A new version of these models is presented here, incorporating a…

The study comprehensively investigates the response of a combusting droplet during its interaction with a high-speed transient flow that is imposed by a coaxially propagating blast wave. The blast wave is generated using a specially…

Fluid Dynamics · Physics 2024-02-13 Gautham Vadlamudi , Akhil Aravind , Saini Jatin Rao , Saptarshi Basu

Glass-to-glass and liquid-to-liquid phase transitions are observed in bulk and confined water, with or without applied pressure. They result from the competition of two liquid phases separated by an enthalpy difference depending on…

Disordered Systems and Neural Networks · Physics 2017-11-21 Robert F. Tournier
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