Numerical simulation of gasless combustion taking into account the heterogeneity of the structure and the temperature dependence of diffusion

Шульц, Д С; Krainov, A. Yu.

doi:10.1134/s0010508212050139

Cited by 4 publications

(4 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the one hand, the models clearly show the scale of the heterogeneous structure and the diffusion mechanism of the reaction involving refractory reactants and/or reaction products; on the other hand, the necessity of applying the hypothesis of the correspondence of the sequence of stages to equilibrium state diagrams appears. Both in the first works resorting to the notion of reaction cells and in the later ones [26][27][28][29][30], the reaction kinetics proper, the diffusion mechanisms in different phases and on the surface, and the particle structure playing an important role in the evolution of phase and chemical composition are not discussed. Problems related to the interaction of diffusion and chemical stages with their accompanying mechanical stresses also remain without attention.…”

Section: Problemsmentioning

confidence: 99%

A Two-Level Approach to Describing the Process of Composite Synthesis

Knyazeva¹

2022

Rev. Adv. Mater. Technol.

View full text Add to dashboard Cite

The article describes some problems arising in the construction of models of synthesis of composites in modern technologies, which allow predicting the evolution of composition and properties. It is emphasized that the known two-level models practically do not discuss the correspondence between scales and the correctness of information transfer from one level to another, the correctness of computational algorithms requiring the agreement of scales both physical and geometrical. A general approach to building two-level models of synthesis of composites with reinforcing particles based on separation of physical scales is described. It is shown that two-level models of composites synthesis have thermodynamic justification. The variants of estimation of stresses accompanying the change of composition at micro-(meso-)level are proposed. Possible variants of mesolevel submodels for description of composition evolution are briefly presented.

show abstract

Section: Problemsmentioning

confidence: 99%

A Two-Level Approach to Describing the Process of Composite Synthesis

Knyazeva¹

2022

Rev. Adv. Mater. Technol.

View full text Add to dashboard Cite

show abstract

“…Consequently, the mathematical formulation of the problem, taking into account the above stated and model representations, according to [4], [5], consists of heat equation, diffusion equation and balance sheet ratios on the moving interphase boundaries. Heat equation for long sample can be written as a onedimensional equation.…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

“…Practical solution to the problem (1) -(13) is best done in the traditional (for combustion theory) dimensionless variables and parameters [5], taking into account the initial and boundary conditions using the effective difference schemes.…”

Section: Approximate Task Solutionmentioning

confidence: 99%

Theoretical Aspects of Mathematical Modeling of SHS-Process with Consideration of the Diffusion Kinetics and Interphase Transformations in “Mesocells” of Heterogeneous Powder Mixture

Jordan

Kotenev

2014

Communications in Computer and Information Science

View full text Add to dashboard Cite

Abstract. This article reviews the important aspects of creation of an adequate mathematical model of the propagation of the flame front at the SH-synthesis in the "mesocells" of heterogeneous powder mixture. The model takes into account the phase formation processes in accordance with the phase diagram of the system components and in assumption of staging of interphase chemical transformations (formation and decay) according to the scheme of metal-chemical reactions. The chemical reaction rate is determined by taking into account the function of the source of the exothermic heat generation in chemical reaction and the solutions of problems of the diffusion kinetics and balance ratios on the moving interfacial borders in reactionary "mesocell".

show abstract

“…In [5], an idea was suggested and some results of calculations were presented for modeling SHS with the use of the model of a reaction cell of spherical shape, where the problem of heat transfer is being solved at the macrolevel, and the problem of diffusion of components for determining the rate of heat release is being solved in reaction cells along the length of a sample (at the microlevel). In [6,7], a model is presented for gas-free combustion with account for the structure heterogeneity and for the dependence of diffusion on temperature, without account for the influence of the product layers formed [8].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the SHS Process Initiation in Base Mixture during HFC-Heating and the Combustion Rate Dependence on Various Factors

Ишков

Shegolev

2021

MSF

View full text Add to dashboard Cite

The paper describes the researches of the SHS process initiation in samples of powder mixtures of reagents intended for steel parts hardening with an excess of Al or B2O3 by a heat source. Mixtures of reagents with different weight ratios of components were used as samples. Thereat, the initiation of SHS process in thin layers was conducted with a coating layer thickness of no more than 6 mm for all tested compositions. The dependences of the combustion rate on various factors including particle size of powder materials and charge composition have been obtained. The main factors influencing the dependences of initiation (ignition) and combustion rate are established, and the degree of influence of these factors on the dependences is estimated. The obtained results made it possible to correct the composition of the base mixture reasonably in order to achieve the required combustion rate.

show abstract

Numerical simulation of gasless combustion taking into account the heterogeneity of the structure and the temperature dependence of diffusion

Cited by 4 publications

References 13 publications

A Two-Level Approach to Describing the Process of Composite Synthesis

A Two-Level Approach to Describing the Process of Composite Synthesis

Theoretical Aspects of Mathematical Modeling of SHS-Process with Consideration of the Diffusion Kinetics and Interphase Transformations in “Mesocells” of Heterogeneous Powder Mixture

Investigation of the SHS Process Initiation in Base Mixture during HFC-Heating and the Combustion Rate Dependence on Various Factors

Contact Info

Product

Resources

About