• 대한기계학회논문집B
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• 제38권6호
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• pp.493-500
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• 2014

Damk$\ddot{o}$hler수가 클 때 복사열손실에 의한 소염근처에서 셀모양의 대향류확산화염의 특성에 대하여 수치해석적으로 연구하였다. Lewis 수를 0.5로 두고 일차원 정상상태의 화염의 해에 매우 작은 교란을 가하여 시간에 따른 화염전개를 계산하였다. 천이과정 초기에는 선형안정성 해석에서 예측된 결과와 매우 비슷하게 진행된다. 시간이 증가함에 따라 증가율이 가장 강한 파동수를 갖는 교란파가 성장하고, 완전히 발달되면 소염영역과 화염영역이 번갈아 나타나는 셀모양의 화염구조를 갖는다. 화염온도는 총엔탈피의 국소 이득 때문에 일차원 정상상태의 화염온도보다 높다. 셀모양의 확산화염은 Damk$\ddot{o}$hler 수가 증가함에 따라 셀의 모양이 원형으로 되며 일차원 정상상태 소염조건보다 큰 Damk$\ddot{o}$hler 수에서도 셀모양의 화염은 꺼지지 않고 살아남는다.

• 한국연소학회지
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• 제18권2호
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• pp.42-50
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• 2013

Linear stability analysis of radiating counterflow diffusion flames is numerically conducted to examine the instability characteristics of cellular patterns. Lewis number is assumed to be 0.5 to consider diffusional-thermal instability. Near kinetic limit extinction regime, growth rates of disturbances always have real eigen-values and neutral stability condition of planar disturbances perfectly falls into quasi-steady extinction. Cellular instability of disturbance with transverse direction occurs just before steady extinction. However, near radiative limit extinction regime, the eigenvalues are complex and pulsating instability of planar disturbances appears prior to steady extinction. Cellular instability occurs before the onset of planar pulsating instability, which means the extension of flammability.

• 대한기계학회논문집B
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• 제21권9호
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• pp.1218-1229
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• 1997

The diffusional-thermal instability of diffusion flames in the premixed-flame regime is studied in a constant-density two-dimensional counterflow diffusion-flame configuration, to investigate the instability mechanism by which periodic wrinkling, travelling or pulsating of the reaction sheet can occur. Attention is focused on flames with small departures of the Lewis number from unity and with small values of the stoichiometric mixture fraction, so that the premixed-flame regime can be employed for activation-energy asymptotics. Cellular patterns will occur near quasisteady extinction when the Lewis number of the more completely consumed reactant is less than a critical value( ~ =0.7). Parametric studies for the instability onset conditions show that flames with smaller values of the Lewis number and stoichiometric mixture fraction and with larger values of the Zel'dovich number tend to be more unstable. For Lewis number greater than unity, near-extinction flame are found to exhibit either travelling instability or pulsating instability.