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Number of results

Journal

2012 | 10 | 2 | 380-385

Article title

Mathematical approach to investigation of synthesis processes at high temperatures

Content

Title variants

Languages of publication

EN

Abstracts

EN
In our work, we present a method for estimation of the diffusion and reaction rates of synthesis at high temperatures using limited information from laboratory experiments, such as synthesis time and dimensions of reactants. Synthesis by sol-gel and solid-state reactions is considered. The inverse modeling problem is solved for one- and two-dimensional models. Explicit formulas for the diffusion coefficient and reaction rate as functions of temperature are obtained. The activation energies are calculated, and the lower bounds of diffusion and reaction rates are estimated, thus obtaining conditions for occurrence of synthesis. [...]

Publisher

Journal

Year

Volume

10

Issue

2

Pages

380-385

Physical description

Dates

published
1 - 4 - 2012
online
29 - 1 - 2012

Contributors

  • Institute of Mathematics and Informatics, Vilnius, LT-08663, Lithuania
  • Department of Mathematics and Informatics, Vilnius University, Vilnius, LT-03225, Lithuania
  • Department of Chemistry, Vilnius University, Vilnius, LT-03225, Lithuania

References

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11532-011-0159-7
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