Simulation of melt crystallization kinetics
Source abstract
Abstract
Mathematical model of non-isothermal crystallization process, taking into account changes in the system composition is presented as a differential equation system. Application of the proposed model enables calculation of both general process kinetics and parameters, characterizing the forming structure (graininess) and texture of three-space systems and films. In general the presented mathematical model can be applied for the simulation of phase transition processes, such as crystallisation of melts, glasses and other vitreous solids, polymers, epitaxial growth of films, decomposition of solid solution etc.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Polymer crystallization and properties · Additive Manufacturing and 3D Printing Technologies · Textile materials and evaluations
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (13)
Show source-provided references
1. Kolmogorov AN (1937) For statistical theory of melt crystallization. Proceedings of Acad. of Sciences USSR, Math. Series (3):353–359
2. Avrami M (1939) Kinetics of phase change. I. General theory. J Chem Phys 7(12):110310.1063/1.1750380 ↗
3. Avrami M (1940) Kinetics of phase change. II. Transformation-time relations for random distribution of nuclei. J Chem Phys 8(2):21210.1063/1.1750631 ↗
4. Belenky VZ (1980) Geometric-probabilistic models of crystallization. Nauka, Moscow, p 84
5. Khodakovskaya RYa, Pavlushkin NM (1983) Kinetics of catalyze glass crystallization. Trudy MkhTI im. Mendeleeva (128):18–27
6. Berezhiani MG (1984) Mathematical modelling of melt crystallization, thesisis of “science for praxis” Conference Reports, “Mecniereba” Tbilisi, pp 138–139. http://www.mediafire.com/?9x19b252b49nx12
7. Berezhiani MG (1985) Mathematical modelling of crystallization kinetics of multicomponent systems. Thesisis of Conference of yung Chemists Dedicated to 40-th anniversary of victory in II Global War, Academy of Sciences of Georgia, “Mecniereba”, Tbilisi, p 13. http://www.mediafire.com/?4c8eyadrc1yjyjj
8. Berezhiani M, Tavartkiladze I (1992) Mathematical modelling of kinetics of melt crystallization processes. Proceedings of the Academy of Sciences of Georgia, Chemical Series 18(2):138–142
9. Schneider W, Köppl A, Berger J (1988) Non—isothermal crystallization crystallization of polymers, system of rate equations. Int Polym Proc 2(3–4):151–15410.3139/217.880150 ↗
10. Tobin MC (1974) Theory of phase transition kinetics with growth site imprigement. J Polym Sci Polym Phys Ed 12:39910.1002/pol.1974.180120212 ↗
11. Ilyn MI (1988) Differential equations for kinetics of first-order phase transition. TOKhT Journal 22(5):606–612
12. Haudin J-M, Chenot J-L (2004) Numerical and physical modeling of polymer crystallization, Part I: Theoretical and numerical analysis. Int Polym Proc 19(3):267–27410.3139/217.1829 ↗
13. Piorkowska E, Galeski A, Haudin J-M (2006) Critical assessment of overall crystallization kinetics theories and predictions. Prog Polym Sci 31(6):549–57510.1016/j.progpolymsci.2006.05.001 ↗