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복사 열손실을 받는 셀모양 대향류 확산화염의 선형 안정성 해석

Linear Stability Analysis of Cellular Counterflow Diffusion Flames with Radiation Heat Loss

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초록

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 eigenvalues 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

Abstract

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 eigenvalues 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

참고문헌 (13)

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  2. Joulin, G., "Linear Stability Analysis of Non-adiabatic Flames : Diffusional-Thermal Model", Combustion and Flame, 35, pp.139~153 (1979)
  3. Chen, R., "Diffusive- Thermal Instability and Flame Extinction in Non-Premixed Combustion", Proceedings of the Combustion Institute, 24, pp.213~221 (1992)
  4. Kim, J. S., "Diffusional-Thermal Instability in Diffusion Flames", Journal of Fluid mechanics, 327, pp.273~301 (1996)
  5. Sohn, C. H., "Nonlinear Evolution of Diffusion Flame Oscillations Triggered by Radiative Heat Loss", Combustion and Flame, 123, pp.95~106 (2000)
  6. Miklavcic, M., "Oscillations and Island Evolution in Radiating Diffusion Flames", Combust. Theory Model., 9, pp.403~416 (2005)
  7. 이수룡, "복사 열손실을 받는 대향류 확산화염의 불안정성 해석", 대한기계학회논문집 B, 36(8), pp.857~864 (2012), 대한기계학회
  8. Nanduria, J. R., "Structure and Dynamic Response of Radiative Diffusion Flames", Combustion Theory and Modeling, 9, pp.515~548 (2005)
  9. Han, B., "Experimental Low-Stretch Gaseous Diffusion Flames in Buoyancy-Induced Flow Fields", Proceedings of the Combustion Institute, 30, pp.527~535 (2005)
  10. Kim, J. S., "Diffusional-Thermal Instability in Strained Diffusion Flames with Unequal Lewis Numbers", Combust. Theory Model, 3, pp.123~146 (1999)
  11. Law, C. K., "Combustion Physics" (2006), Cambridge University Press
  12. Metzener P., "Diffusive -thermal instabilities of diffusion flames: onset of cells and oscillations", Combustion Theory and Modeling, 10, pp.701~725 (2006)
  13. Press, W. H., "Numerical Recipes", pp.476~486 (1992), Cambridge University Press

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