System disruptions
There are recurring service disruptions on some of the search portals due to high traffic. We are working to resolve the issue, you may temporarily encounter an error message.
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Early Stages of Flame Propagation in Tubes with Non-Slip Walls: Mechanism of Tulip Flame Formation
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).ORCID iD: 0000-0003-4308-7225
Number of Authors: 12024 (English)In: Proceedings of the 9th World Congress on Momentum, Heat and Mass Transfer (MHMT 2024), Avestia Publishing , 2024Conference paper, Published paper (Refereed)
Abstract [en]

Flame propagation in closed or semi-open tubes is a fundamental physicochemical model that provides a basic platform for theoretical and numerical studies of more complex scientific and engineering combustion processes. The early stages of flame propagation are of particular interest because they determine subsequent flame propagation modes: deflagration or detonation. The formation of the "tulip flame" was discovered experimentally almost a century ago [1]. It was found that the shape of the flame front ignited near the closed end of a tube and propagating toward the opposite closed or open end suddenly changes rapidly from a convex shape with the tip pointing forward to a concave shape with the tip pointing backward. Subsequent experiments showed that tulip flame formation is remarkably robust to all combustible mixtures and possible downstream conditions: open or closed tube end, tube shapes, etc. Despite numerous experimental, theoretical and numerical studies, the mechanism of the tulip flame formation remains one of the major unsolved fundamental problems in combustion theory [2, 3]. We show that the solution to the problem is an intriguingly simple one [4, 5]. In the theoretical thin flame model, where the flame front is a discontinuous surface between unburned and burned gas, the velocity of different points on the flame front is the sum of the laminar flame velocity relative to the unburned fuel and the velocity of the unburned flow with which the flow entrained that part of the flame front. The superposition of the unburned gas flow created by the flame during the acceleration phase after ignition and the flow created by the rarefaction wave(s) during the deceleration phase, when the flame skirt touches the tube walls, the flame front surface and hence the flame velocity decreases, creates a tulip shape of the unburned gas axial velocity profile near the flame front. Therefore, the flame front also takes on a tulip shape. The results of the theoretical thin flame model appeared to be in surprisingly good agreement with 2D and 3D simulations that used a detailed chemical-kinetic model and thus accounted for the true thickness of the flame front. We show that tulip flame formation by rarefaction waves, which are purely hydrodynamic processes, is much faster than the rates of development inherent flame instabilities considered in previous attempts to explain tulip flame formation. The ratio of the rarefaction wave formation time RW τ to the time DL τ of the Darrieus-Landau instability development is τRW τDL: Uf, whereRW τ to the time DL τ of the Darrieus-Landau instability development is is the laminar flame velocity, s a is the speed of sound.

Place, publisher, year, edition, pages
Avestia Publishing , 2024.
Series
Proceedings of the World Congress on Momentum, Heat and Mass Transfer, E-ISSN 2371-5316
National Category
Physical Chemistry
Identifiers
URN: urn:nbn:se:su:diva-243472DOI: 10.11159/csp24.109Scopus ID: 2-s2.0-105003804662OAI: oai:DiVA.org:su-243472DiVA, id: diva2:1960902
Conference
9th World Congress on Momentum, Heat and Mass Transfer (MHMT 2024), London, United Kingdom, April 11 – 13, 2024
Available from: 2025-05-26 Created: 2025-05-26 Last updated: 2025-05-26Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Liberman, Michael A.

Search in DiVA

By author/editor
Liberman, Michael A.
By organisation
Nordic Institute for Theoretical Physics (Nordita)
Physical Chemistry

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 59 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf