• 제목/요약/키워드: Critical peclet number

검색결과 4건 처리시간 0.016초

Numerical Simulation on the Onset of Radial Fingering in a Hele-Shaw Cell or a Porous Medium

  • Min Chan Kim
    • Korean Chemical Engineering Research
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    • 제62권1호
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    • pp.112-117
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    • 2024
  • Numerical simulations on the onset and the growth of viscous fingering during the miscible displacement due to the radial source flow were conducted. With introduction of a new stability criterion, the critical log-viscosity ratio, Rc, was found as a function of the Peclet number, Pe. Similar to the previous linear stability analyses, Pe made the system unstable, i.e., accelerated the onset of instability. For a large Pe system, the present numerical simulation yielded much stable results than the previous theoretical predictions This discrepancy was commonly encountered in the comparison between the theoretical prediction and the experimental finding. Additionally, the difference between the rectilinear system and the present one was also discussed. The present system was found more insensitive to the Peclet number than the rectilinear one.

질소로 희석된 프로판 동축류 층류 제트 부상화염에서 열손실에 의한 자기진동에 대한 동축류 속도 효과 (Effect of Coflow Air Velocity on Heat-loss-induced Self-excitation in Laminar Lifted Propane Coflow-Jet Flames Diluted with Nitrogen)

  • 이원준;윤성환;박정;권오붕;박종호;김태형
    • 한국연소학회지
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    • 제17권1호
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    • pp.48-57
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    • 2012
  • Laminar lifted propane coflow-jet flames diluted with nitrogen were experimentally investigated to determine heat-loss-related self-excitation regimes in the flame stability map and elucidate the individual flame characteristics. There exists a critical lift-off height over which flame-stabilizing effect becomes minor, thereby causing a normal heat-loss-induced self-excitation with O(0.01 Hz). Air-coflowing can suppress the normal heat-loss-induced self-excitation through increase of a Peclet number; meanwhile it can enhance the normal heat-lossinduced self-excitation through reducing fuel concentration gradient and thereby decreasing the reaction rate of trailing diffusion flame. Below the critical lift-off height. the effect of flame stabilization is superior, leading to a coflow-modulated heat-loss-induced self-excitation with O(0.001 Hz). Over the critical lift-off height, the effect of reducing fuel concentration gradient is pronounced, so that the normal heat-loss-induced self-excitation is restored. A newly found prompt self-excitation, observed prior to a heat-loss-induced flame blowout, is discussed. Heat-loss-related self-excitations, obtained laminar lifted propane coflow-jet flames diluted with nitrogen, were characterized by the functional dependency of Strouhal number on related parameters. The critical lift-off height was also reasonably characterized by Peclet number and fuel mole fraction.

탄화수소/수소/일산화탄소-공기의 예혼합화염에서 층류화염전파속도와 화염안정성 (Laminar Burning Velocities and Flame Stability Analysis of Hydrocarbon/Hydrogen/Carbon Monoxide-air Premixed Flames)

  • ;송원식;박정;이기만
    • 한국연소학회지
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    • 제16권2호
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    • pp.23-32
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    • 2011
  • To investigate cell formation in hydrocarbon/hydrogen/carbon monoxide-air premixed flames, the outward propagation and cellular instabilities were experimentally studied in a constant pressure combustion chamber at room temperature and elevated pressures. Unstretched laminar burning velocities and Markstein lengths of the mixtures were obtained by analyzing high-speed schlieren images. In this study, hydrodynamic and diffusional- thermal instabilities were evaluated to examine their effects on flame instabilities. The experimentally-measured unstretched laminar burning velocities were compared to numerical predictions using the PREMIX code. Effective Lewis numbers of premixed flames with methane addition decreased for all of the cases; meanwhile, effective Lewis numbers with propane addition increased for lean and stoichiometric conditions and increased for rich and stoichiometric cases for hydrogen-enriched flames. With the addition of propane, the propensity for cell formation significantly was diminished, whereas cellular instabilities for hydrogen-enriched flames were promoted. However, similar behavior of cellularity was obtained with the addition of methane to the reactant mixtures.

합성가스와 공기를 혼합한 예혼합화염의 셀 불안정성에 있어서 탄화수소 계 연료첨가에 대한 효과 (Effects of Hydrocarbon Addition on Cellular Instabilities in Expanding Syngas-Air Spherical Premixed Flames)

  • ;송원식;박정;권오붕;배대석;윤진한;길상인
    • 대한기계학회논문집B
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    • 제35권2호
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    • pp.179-188
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    • 2011
  • 본 연구에서는 합성가스-공기 화염의 셀 불안정성에 있어서 탄화수소 연료의 첨가효과를 알아보기 위하여 상온, 고압, 정적상태의 연소실에서 실험을 수행하였다. 층류화염전파속도는 상세반응기구와 전달물성치를 사용하여 계산하였고 이를 실험으로 측정된 값과 비교하였다. 탄화수소 연료가 첨가된 합성가스-공기 화염의 셀 불안정성은 수력학적 불안정성과 확산-열 불안정성의 관점에서 평가되며 희박예혼합 화염에 대해 실험으로부터 측정된 셀불안정성을 유발하는 임계 Peclet 수는 이론적으로 얻어진 값과 비교하였다. 실험결과는 반응혼합물에 탄화수소 계 연료의 첨가량이 증가할수록 화염전파속도는 감소함을 보였다. 합성가스-공기화염에 프로판과 부탄을 첨가하였을 경우 수력학적 불안정성과 확산-열 불안정성이 감소하여 셀 형성은 현저하게 감소하였다. 반면 메탄을 첨가하였을 경우 셀 불안정성이 완화되는 효과는 없었다.