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NATURAL AND MAN-MADE RISKS (PHYSICO-MATHEMATICAL AND APPLIED ASPECTS)
Journals / NATURAL AND MAN-MADE RISKS (PHYSICO-MATHEMATICAL AND APPLIED ASPECTS) / Issue 3, 2026 / DETERMINATION OF THE CONDITIONS FOR STABILIZING THE FLAME HEIGHT DURING BURNING IN NARROW LONG CAPACITIES BY NATURAL AND NUMERICAL METHODS
UDC 614.841.42

DETERMINATION OF THE CONDITIONS FOR STABILIZING THE FLAME HEIGHT DURING BURNING IN NARROW LONG CAPACITIES BY NATURAL AND NUMERICAL METHODS

Published in NATURAL AND MAN-MADE RISKS (PHYSICO-MATHEMATICAL AND APPLIED ASPECTS) · Issue 3, 2026 · Pages 8–16 · Rubric: PHYSICAL AND MATHEMATICAL ASPECTS OF EMERGENCY RESPONSE
DOI: https://doi.org/10.61260/2307-7476-2026-3-8-16
Received: 12.06.2026 Accepted: 17.07.2026 Published: 05.10.2026
Authors
DM
Dmitriy Kozhevin
ORCID SPIN
EK
Ekaterina Radova
ORCID SPIN
MI
Mikhail Bokov
ABSTRACT
The paper experimentally studies the combustion of combustible liquids (acetone, nonane) in rectangular cuvets in which one linear dimension (length) significantly exceeds the other (width). It was found that when the length of the container exceeds a certain critical value, the height of the flame stops growing and stabilizes at a constant level that is determined only by the width of the cuvette and the properties of the liquid. For each fixed width, the critical lengths at which stabilization occurs were determined. The criterion for transition to a stabilized regime is the length-to-width ratio b/a, and the threshold value depends on the width of the container: for narrow cuvets (a=0.7 cm), stabilization occurs when b/a≥15, and for wider cuvets (a=1.7 cm), it occurs when b/a≥5. For practical calculations, it is proposed to use the universal condition b/a≥3 (the container is narrow and long) with an additional check for reaching the maximum flame height. The results are verified by numerical modeling in the Fire package.
KEYWORDS
flame torch height, flammable liquids, narrow long containers, flame stabilization, critical length, FDS modeling, and fire risk
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The contact persons
Head of the Department of Applied Mathematics and Information Technologies of Saint-Petersburg university of State fire service of EMERCOM of Russia
Alexander Matveev
Secretary, editor of the editorial department of the editorial department of the center for the organization of research and editorial activities
Polina Bolotova
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