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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2024 Volume 17, Issue 4, Pages 478–487 (Mi jsfu1178)

This article is cited in 1 paper

Influence of boundary conditions on the critical parameters of reactive flow ignition in a channelwith heat recuperation

Igor G. Donskoy

Melentiev Energy Systems Institute, Irkutsk, Russian Federation

Abstract: A one-dimensional problem of reacting flow thermal stability in a U-shaped channel is studied. A finite difference scheme is proposed for this problem. Borders of domain of existence of a bounded solution are estimated. Calculations are carried out for two variants of the inlet boundary condition. Relationship between critical parameter and other parameters is obtained.

Keywords: differential equation, thermal explosion, numerical solution, recuperative heat transfer.

UDC: 544.45, 536.2, 519.62

Received: 17.02.2024
Received in revised form: 05.04.2024
Accepted: 06.05.2024

Language: English



© Steklov Math. Inst. of RAS, 2026