Scaling Analysis on Pulsating Flame Spread over Liquids
Scaling analyses based on subsurface layer instability were performed to explore the role of three independent (surface tension, gravity, and viscosity) influences on the mechanism of pulsating flame spread under normal and microgravity conditions. These three influences form two independent pi-numb...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Chemical Engineering |
| Online Access: | http://dx.doi.org/10.1155/2008/178292 |
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| author | Kozue Takahashi Akihiko Ito Yuji Kudo Tadashi Konishi Kozo Saito |
| author_facet | Kozue Takahashi Akihiko Ito Yuji Kudo Tadashi Konishi Kozo Saito |
| author_sort | Kozue Takahashi |
| collection | DOAJ |
| description | Scaling analyses based on subsurface layer instability were performed to explore the role of three independent (surface tension, gravity, and viscosity) influences on the mechanism of pulsating flame spread under normal and microgravity conditions. These three influences form two independent pi-numbers: the Marangoni (Ma) number and Grashof (Gr) number, which include the characteristic length scale ratio (depth of subsurface circulation)/(horizontal length of preheated liquid surface). The Prandtl (Pr) number was introduced to compensate for the different thermal diffusivity and kinematic viscosity of different liquids. Also a nondimensional flame spread rate, V/VD (= Vδ/D, where δ is the quenching distance and D is the diffusivity of fuel vapor) was introduced. Using these nondimensional parameters, the flame spread mechanism was divided into two separate regimes: for the shallow liquid pool the nondimensional flame spread rate was correlated with {Gr0.2/(Ma·Pr)}1.0, while for the deep liquid pool it was correlated with {Gr0.2/(Ma·Pr)}1.5. |
| format | Article |
| id | doaj-art-bf6eca56810f4fc8b7a9f7529eab3564 |
| institution | Kabale University |
| issn | 1687-806X 1687-8078 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Chemical Engineering |
| spelling | doaj-art-bf6eca56810f4fc8b7a9f7529eab35642025-02-03T06:45:26ZengWileyInternational Journal of Chemical Engineering1687-806X1687-80782008-01-01200810.1155/2008/178292178292Scaling Analysis on Pulsating Flame Spread over LiquidsKozue Takahashi0Akihiko Ito1Yuji Kudo2Tadashi Konishi3Kozo Saito4Department of Intelligent Machines and System Engineering, Hirosaki University, Hirosaki 036-8561, JapanDepartment of Intelligent Machines and System Engineering, Hirosaki University, Hirosaki 036-8561, JapanDepartment of Intelligent Machines and System Engineering, Hirosaki University, Hirosaki 036-8561, JapanDepartment of Mechanical Engineering, Oita National College of Technology, Oita 879-0152, JapanDepartment of Mechanical Engineering, University of Kentucky, Lexington, KY 40506, USAScaling analyses based on subsurface layer instability were performed to explore the role of three independent (surface tension, gravity, and viscosity) influences on the mechanism of pulsating flame spread under normal and microgravity conditions. These three influences form two independent pi-numbers: the Marangoni (Ma) number and Grashof (Gr) number, which include the characteristic length scale ratio (depth of subsurface circulation)/(horizontal length of preheated liquid surface). The Prandtl (Pr) number was introduced to compensate for the different thermal diffusivity and kinematic viscosity of different liquids. Also a nondimensional flame spread rate, V/VD (= Vδ/D, where δ is the quenching distance and D is the diffusivity of fuel vapor) was introduced. Using these nondimensional parameters, the flame spread mechanism was divided into two separate regimes: for the shallow liquid pool the nondimensional flame spread rate was correlated with {Gr0.2/(Ma·Pr)}1.0, while for the deep liquid pool it was correlated with {Gr0.2/(Ma·Pr)}1.5.http://dx.doi.org/10.1155/2008/178292 |
| spellingShingle | Kozue Takahashi Akihiko Ito Yuji Kudo Tadashi Konishi Kozo Saito Scaling Analysis on Pulsating Flame Spread over Liquids International Journal of Chemical Engineering |
| title | Scaling Analysis on Pulsating Flame Spread over Liquids |
| title_full | Scaling Analysis on Pulsating Flame Spread over Liquids |
| title_fullStr | Scaling Analysis on Pulsating Flame Spread over Liquids |
| title_full_unstemmed | Scaling Analysis on Pulsating Flame Spread over Liquids |
| title_short | Scaling Analysis on Pulsating Flame Spread over Liquids |
| title_sort | scaling analysis on pulsating flame spread over liquids |
| url | http://dx.doi.org/10.1155/2008/178292 |
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