본문 바로가기
KERD
논문KCI 등재

화염 스트레치 계산 모델들의 비교와 적용 II: 모델 적용

Comparisons of Flame Stretch Calculation Models and Their Applications Part II: Model Applications

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

초록

Model equations of the flame stretch on three dimensional stretched flame surfaces were derived by M. Matalon (1983), S. H. Chung and C. K. Law (1984), and S. M. Candel and T. J. Poinsot (1990) respectively in different forms. When applying their models into numerical and experimental data, the necessary parameters (e.g., flame location, flame migration velocity, flame speed, flow velocity, etc.) are mostly extracted on the flame surface from the data. However, their applications may not be straightforward or clear as some forms are quite complex or needs parameters outside of the flame surface. In this study, to resolve these issues, straightforward expressions were provided for one dimensional circular and spherical flame, and two dimensional steady and unsteady flames. As illustrations, the flame stretches and their constituent terms were evaluated for two dimensional steady and unsteady laminar flames.

Abstract

Model equations of the flame stretch on three dimensional stretched flame surfaces were derived by M. Matalon (1983), S. H. Chung and C. K. Law (1984), and S. M. Candel and T. J. Poinsot (1990) respectively in different forms. When applying their models into numerical and experimental data, the necessary parameters (e.g., flame location, flame migration velocity, flame speed, flow velocity, etc.) are mostly extracted on the flame surface from the data. However, their applications may not be straightforward or clear as some forms are quite complex or needs parameters outside of the flame surface. In this study, to resolve these issues, straightforward expressions were provided for one dimensional circular and spherical flame, and two dimensional steady and unsteady flames. As illustrations, the flame stretches and their constituent terms were evaluated for two dimensional steady and unsteady laminar flames.

참고문헌 (24)

  1. Y. Ju, "Combined effects of radiation, flame curvature, and stretch on the extinction and bifurcations of cylindrical CH4", air premixed flame, 1999, pp.116(4), 580~592
  2. A. J. Morales, "Mechanisms of flame extinction and lean blowout of bluff body stabilized flames", Combust. Flame, 203, pp.31~45 (2019)
  3. L. J. Humphrey, "Modeling the Response of Turbulent Flames to Harmonic Forcing", Combust. Sci. Technol, 189(2), pp.187~212 (2017)
  4. G.H. Markstein, "Nonsteady Flame Propagation" (1964), Pergamon Press
  5. P. Clavin, "Dynamic behavior of premixed flame fronts in laminar and turbulent flows", Prog. Energy Combust. Sci, 11(1), pp.1~59 (1985)
  6. P. Clavin, "Curved and stretched flames : The two Markstein numbers", J. Fluid Mech, 686, pp.187~217 (2011)
  7. H. J. Kim, "Laminar flame speed, Markstein length, and cellular instability for spherically propagating methane", ethylene–air premixed flames, 2020, pp.214, 464~474
  8. B. Karlovitz, "Studies on Turbulent flames: A. Flame Propagation Across velocity gradients B. turbulence Measurement in flames", Symposium (International)on Combustion, 4(1), pp.613~620 (1953)
  9. F.A. Williams, "A review of some theoretical considerations of turbulent flame structure", AGARD Conference Proceedings, 164, pp.1~ (1975)
  10. F.A. Williams, "Turbulent Mixing in Nonreactive and Reactive Flows", pp.189~208 (1975)
  11. J. Buckmaster, "The Quenching of Two-dimensional Premixed Flames", Acta Astronautica, 6(5-6), pp.741~769 (1979)
  12. M. Matalon, "On Flame Stretch", Combust. Sci. Technol, 31(3-4), pp.169~181 (1983)
  13. S. H. Chung, "An Invariant Derivation of Flame Stretch", Combust. Flame, 55(1), pp.123~125 (1984)
  14. S. M. Candel, "Flame Stretch and the Balance Equation for the Flame Area", Combust. Sci. and Tech, 70(1-3), pp.1~15 (1990)
  15. 김용제, "화염 스트레치 계산 모델들의 비교와 적용 I: 모델 비교", 한국연소학회지, 28(2), pp.22~37 (2023), 한국연소학회
  16. D. Bradley, "The development and structure of flame instabilities and cellularity at low Markstein numbers in explosions", Combust. Flame, 122(1-2), pp.195~209 (2000)
  17. J. K. Bechtold, "Hydrodynamic and diffusion effects on the stability of spherically expanding flames", Combust. Flame, 67(1), pp.77~90 (1987)
  18. P. Cermelli, "Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces", J. Fluid Mech, 544, pp.339~351 (2005)
  19. C. Greenshields, "OpenFOAM v9 User Guide", The OpenFOAM Foundation, ~ (2021)
  20. C. K. Wu, "On the determination of laminar flame speeds from stretched flames", Symposium (International) on Combustion, 20(1), pp.1941~1949 (1985)
  21. G. K. Giannakopoulos, "Consistent definitions of “Flame Displacement Speed” and “Markstein Length” for premixed flame propagation", Combust. Flame, 162(4), pp.1249~1264 (2015)
  22. M. S. Day, "Numerical Simulation of Laminar Reacting Flows with Complex Chemistry", Combust. Theory Model, 4(4), pp.535~556 (2000)
  23. A. Nonaka, "A Deferred Correction Coupling Strategy for Low Mach Number Flow with Complex Chemistry", Combust. Theory Model, 16(6), pp.1053~1088 (2012)
  24. "Reduced reaction sets based on GRI-Mech1.2: 19-species reaction set" (1994)[URL]

관련 논문AI추천

이 간행물의 다른 논문 (5건)