Nonisothermal Interaction of Powders with a Reactive Gaseous Medium During Grinding

Smolyakov, V. K.; Лапшин, О. В.; Maksimov, Yu. M.

doi:10.1023/b:cesw.0000007679.82109.ee

Cited by 4 publications

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“…For the mathematical description of the process, we used the results of a mathematical model of one-stage mechanochemical synthesis in the solid reagent-active gas system [36]. In the general case, the system of equations describing mechanochemical synthesis during mechanical activation of solid reagents in the active gas should comprise the equations of thermal balance, chemical reactions, grinding, and excess energy dynamics.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The first term in Equation ( 5) describes the dynamics of the specific surface of particles due to grinding in the absence of chemical reactions, and the second term due to chemical reactions in the absence of grinding. In [36], it is believed that in the case of fine grinding a lot of energy is spent on inelastic deformation, the work of friction forces, and the formation of new surfaces. In this case, the derivatives included in (7) in [36] can be represented as follows:…”

Section: Grinding Equationmentioning

confidence: 99%

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Discrete One-Stage Mechanochemical Synthesis of Titanium-Nitride in a High-Energy Mill

Лапшин

Шкода

Ivanova

et al. 2021

Metals

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Discrete (discontinuous) mechanochemical synthesis of titanium nitride was experimentally investigated. The experimental results show that mechanical activation intensifies the chemical conversion in the Ti-N system, and the discrete synthesis of the final product is conducted under “soft” controlled conditions without high heat release. The new theory of mechanochemical synthesis and the mathematical model based on it were used for theoretical evaluation of the dynamics of titanium activation in the nitrogen medium. It was found that the discrete mode of synthesis includes two factors accelerating mechanochemical reactions in the Ti-N synthesis: structural (grinding of metallic reagent and formation of interfacial areas) and kinetic (accumulation of excess energy stored in the formed structural defects in metallic reagent). The kinetic constants of the process were found using experimental data and the inverse problem method. The diagrams defining the controlled modes of obtaining titanium nitride particles with the given characteristics were constructed. A mathematical model for theoretical estimation of the dynamics of activation of titanium powder in the nitrogen medium was developed using a new macrokinetic theory of mechanochemical synthesis.

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Grinding Equationmentioning

confidence: 99%

Discrete One-Stage Mechanochemical Synthesis of Titanium-Nitride in a High-Energy Mill

Лапшин

Шкода

Ivanova

et al. 2021

Metals

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“…Smolyakov et al [5] obtained the following relation for the rate of particle-size variation due to grinding and chemical reaction in the two limiting cases: the reaction product breaks away from the particle surface and the reaction product does not break away from the particle surface:…”

Section: Grinding Equationmentioning

confidence: 99%

“…The function F (S) can be written as F (S) ≈ N r 2 /N 0 r 2 0 , where r 0 and r are the average initial and current particle sizes, and N and N 0 are the current and initial number of particles. In the limiting cases where the reaction product completely breaks away from the solid reactant or does not break away altogether, the numbers of particles are defined by the following relations, respectively [5]:…”

Section: Chemical-reaction Equationmentioning

confidence: 99%

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Macrokinetics of Mechanosynthesis in Solid-Gas Systems. I. Mathematical Simulation

Smolyakov

Лапшин

Maksimov

2005

Combust Explos Shock Waves

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A mathematical model for mechanosynthesis in solid-gas systems is constructed which includes the equations of mechanical-reactor heat balance, grinding, the excess-energy dynamics in the condensed substances, which determines the effect of mechanical activation on the chemical-reaction rate, and the reaction kinetics. A brief analysis of the model is presented. A description is given of two simplified models of independent significance derived from the general model, which can be studied by analytical methods. Synthesis in a preactivated system is studied in detail. Relations determining the characteristics of the synthesis are obtained. The accuracy of the analytical estimates is verified by numerical simulation.

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Modeling of the mechanical treatment of a solid reactant under active gas in the high-energy mill on the example of the titanium-gaseous nitrogen system

Лапшин¹,

Ivanova²

2022

Advanced Powder Technology

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Nonisothermal Interaction of Powders with a Reactive Gaseous Medium During Grinding

Cited by 4 publications

References 0 publications

Discrete One-Stage Mechanochemical Synthesis of Titanium-Nitride in a High-Energy Mill

Discrete One-Stage Mechanochemical Synthesis of Titanium-Nitride in a High-Energy Mill

Macrokinetics of Mechanosynthesis in Solid-Gas Systems. I. Mathematical Simulation

Modeling of the mechanical treatment of a solid reactant under active gas in the high-energy mill on the example of the titanium-gaseous nitrogen system

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