Mathematical model of fuel layer degradation when the laser target is heated by thermal radiation in the reactor working chamber

Autor:	Elena A. Malinina, K. O. Semenov, A. A. Belolipetskii
Rok vydání:	2010
Předmět:	Computational Mathematics Series (mathematics) Thermal radiation Mathematical analysis Free boundary problem Stefan problem Boundary (topology) Spherical coordinate system Asymptotic expansion Layer (electronics) Mathematics
Zdroj:	Computational Mathematics and Modeling. 21:1-17
ISSN:	1573-837X 1046-283X
DOI:	10.1007/s10598-010-9050-1
Popis:	We propose a mathematical model of the changes occurring in the geometrical properties of the deuterium-tritium layer on the laser target in the process of its insertion into the reactor working chamber. The model is a parabolic equation of general form in spherical coordinates with nonlinear boundary conditions on a moving boundary. We show that under physically justified assumptions this problem may be regarded as a Stefan problem for a singularly perturbed parabolic equation. The first terms of the solution series are written out. Numerical calculations of the fuel layer degradation time are presented for a real target.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bb4961df5883059c5e6614d68a4514ab https://doi.org/10.1007/s10598-010-9050-1 Zobrazit plný text záznamu Full text from SpringerLink