Hydrodynamic Instabilities and Nonequilibrium Phase Transitions

Radkevich, E. V.; Lukashev, E. A.; Васильева, О. А.

doi:10.1134/s1064562419030189

Cited by 7 publications

(4 citation statements)

References 6 publications

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“…So, the different combustion modes are determined by various structures of the standard chemical potential μ 0 (T). The study of the process based on nonequilibrium phase transitions [14][15][16][17][18][19][20] is the subject of the following article.…”

Section: Discussionmentioning

confidence: 99%

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Simulation of Vibration Combustion

Radkevich

Васильева

2021

E3S Web Conf.

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We consider a mathematical model of the laminar process of vibration combustion proposed recently. It allows us to simulate detonation and deflagration modes, the occurrence of which occurs depending on the structure of the standard chemical potential. For simplicity of presentation and analysis, we consider a one-dimensional mathematical model formulated for the reduced dimensionless variables for the case of a two-component mixture. The obtained numerical results are presented and discussed.

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Section: Discussionmentioning

confidence: 99%

“…We consider the mathematical model of the laminar process of vibration combustion proposed recently in the paper [1]. Currently, there is a great interest in studying these processes [1][2][3][4][5][6][7][8][9][10][11][12][13]. The mathematical model based on thermodynamic analysis of the combustion process.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Vibration Combustion

Radkevich

Васильева

2021

E3S Web Conf.

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“…Due to the success of the model in this regard, it is being used both in materials science [9,10] and in many fields such as polymer science [11], astrophysics [12], computer science [13] and astrophysics [12]. The simple structure of the model is mainly due to the fact that it is based on the diffusion laws in the Ginzburg-Landau theorem [14,15]. Total energy of a binary alloy is illustrated by the sum of two parts which are the bulk part depending on local energy difference and the interfacial part depending on concentration gradient.…”

Section: Introductionmentioning

confidence: 99%

Analytical Approximation for Cahn-Hillard Phase-Field Model for Spinodal Decomposition of a Binary System

Tozar

Taşbozan

Kurt

2021

Journal of New Theory

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Phase transformations which lead to dramatical property change are very important for engineering materials. Phase-field methods are one of the most successful and practical methods for modelling phase transformations in materials. The Cahn-Hillard phase-field model is among the most promising phase-field models. The most successful aspect of the model is that it can predict spinodal decomposition (which is essential to determining the microstructure of an alloy) in a binary system. It is used in both materials science and many other fields, such as polymer science, astrophysics, and computer science. In this study, the Cahn-Hillard phase-field model is evaluated by an analytical approach using the (1/G )-expansion method. The solutions obtained are tested for certain thermodynamic conditions, and their accuracy of predicting the spidonal decomposition of a binary system is confirmed.

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“…Spinodal decomposition is of interest primarily due to it is relative plain structure which is based on diffusion laws. Since the Cahn-Hillard model is developed based on the Ginzburg-Landau model, diffusion laws play an important role in this model [21,22].…”

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confidence: 99%

Analytical solutions of Cahn-Hillard phase-field model for spinodal decomposition of a binary system

Tozar

Taşbozan

Kurt

2020

EPL

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PACS 44.05.+e -Analytical and numerical techniques PACS 02.90.+p -Other topics in mathematical methods in physics Abstract -Spinodal decomposition is a very important and challenging issue not for only materials science but for also many other fields in science. Phase-field models, which have become very popular in recent years, are very promising for the evaluation of phase transformations such as spinodal decomposition. In this study, the Cahn-Hillard equation which is one of the most trending phase-field models is analytically solved by the double exp-function and the modified extended exp-function methods. Spatio-temporal energy and concentration distributions were evaluated by applying two of the ten obtained analytical solutions to the free energy equation. The results obtained were found to be successful in predicting spinodal decomposition as is expected from the Cahn-Hillard model.

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Hydrodynamic Instabilities and Nonequilibrium Phase Transitions

Cited by 7 publications

References 6 publications

Simulation of Vibration Combustion

Simulation of Vibration Combustion

Analytical Approximation for Cahn-Hillard Phase-Field Model for Spinodal Decomposition of a Binary System

Analytical solutions of Cahn-Hillard phase-field model for spinodal decomposition of a binary system

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