Abstract:
An unsteady quasi-one-dimensional model is constructed for the process of sublimation of a monocrystalline plate of β-diketonate in a uniform flow of an indifferent gas. A method of collocations and least squares is developed for solving heat-transfer problems. In contrast to the previous variants of the method, the algorithm proposed is designed for solving unsteady equations in partial derivatives with a phase transition. Numerical calculations are performed for various regimes of sublimation of chromium β-diketonate; the results are in good agreement with the data of a physical experiment.
Keywords:
sublimation, chemical deposition, β-diketonate, heat and mass transfer, simulation.
Citation:
A. N. Cherepanov, V. P. Shapeev, L. G. Semin, V. K. Cherepanova, I. K. Igumenov, A. N. Mikheev, N. V. Gelfond, N. B. Morozova, “Quasi-one-dimensional model of heat and mass transfer during sublimation of a molecular crystal plate in a plane channel”, Prikl. Mekh. Tekh. Fiz., 44:4 (2003), 109–115; J. Appl. Mech. Tech. Phys., 44:4 (2003), 543–548
\Bibitem{CheShaSem03}
\by A.~N.~Cherepanov, V.~P.~Shapeev, L.~G.~Semin, V.~K.~Cherepanova, I.~K.~Igumenov, A.~N.~Mikheev, N.~V.~Gelfond, N.~B.~Morozova
\paper Quasi-one-dimensional model of heat and mass transfer during sublimation of a molecular crystal plate in a plane channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 4
\pages 109--115
\mathnet{http://mi.mathnet.ru/pmtf2523}
\elib{https://elibrary.ru/item.asp?id=17274815}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 4
\pages 543--548
\crossref{https://doi.org/10.1023/A:1024205325715}
Linking options:
https://www.mathnet.ru/eng/pmtf2523
https://www.mathnet.ru/eng/pmtf/v44/i4/p109
This publication is cited in the following 3 articles:
E. M. Bochkareva, V. V. Lukashov, N. B. Miskiv, “Features of convective sublimation in gas mixtures”, Thermophys. Aeromech., 27:6 (2020), 839
I K Igumenov, M S Makarov, S N Makarova, “Influence of radiative heat transfer on the sublimation of a single chromium (III) and zirconium (IV) β-diketonate particle in the argon-helium gas mixture”, J. Phys.: Conf. Ser., 1128 (2018), 012052
I K Igumenov, V V Lukashov, “Chemical deposition process for coatings: the problems of mass and heat transfer”, J. Phys.: Conf. Ser., 1105 (2018), 012130