Effects of Pressure on Unstretched Laminar Burning Velocity, Markstein Length and Cellularity of Propagating Spherical Laminar Flames Toshiaki KITAGAW

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1 Effects of Pressure on Unstretched Laminar Burning Velocity, Markstein Length and Cellularity of Propagating Spherical Laminar Flames Toshiaki KITAGAWA*5, Yoshitaka TOGAMI, Kouji HARADA and Tomomi OGAWA Department of Mechanical Engineering Science, Kyushu University, Hakozaki, Higashi-ku, Fukuoka-shi, Fukuoka, Japan Outwardly propagating spherical laminar flames in the constant volume bomb were studied. Markstein length was employed to quantify the effects of the flame stretch on the burning velocity. The effects of the pressure on the unstretched laminar burning velocity and the Markstein length were investigated using methane and propane-air mixtures at the equivalence ratios from 0.8 to 1.4 varying the initial pressure from 0.10 to 0.50 MPa. The Markstein length increased for the methane mixture and decreased for the propane mixture with increasing the equivalence ratio. The Markstein length decreased with increasing the initial pressure at all the equivalence ratios irrespective of fuel. It was negative for the lean methane and the rich propane mixtures at high pressures. Flame was unstable and covered with cells in such cases. Key Words: Premixed Combustion, Combustion Phenomena, Burning Velocity, Flame Stretch, Effect of Pressure, Unstretched Laminar Burning Velocity, Markstein Length, Flame Instability, Cellular Flame u.ac.jp

2 Fig. 1 Schematic figure of combustion chamber

3

4 (a) Methane-air mixture (a) Methane-air mixture Fig. 4 Unstretched laminar burning velocity, u, Fig. 5 Markstein length, L

5 (a) Methane-air mixture (a) Methane-air mixture Fig. 6 Pressure dependency of unstretched laminar burning velocity, u, Fig. 7 Pressure indices, n for unstretched laminar burning velocities, u,

6 (a) Methane-air mixture Fig. 8 Markstein number, Ma Fig. 9 Pressure histories at 0.50MPa

7 Fig. 10 Schlieren images of spherically propagating flames, Propane-air mixture

8 (5) Qin, X Kobayashi, H. and Niioka, T, Laminar Burring Velocity of Hydrogen Air Premixed Flames at Elevated Pressze, Experimental Thermal and Fluid Science, 21, (2000), (6) Mattison, M, On Flame Stretch, Combustion Science and Tednology, 31, (1983), (7) Tien, JR. and Matalon, M., On the Buming velocity of Stretched Flame, Combustion Science and Technology, 84, (1991), (8) Law,CK, Dynanics of Stretched Flames, Proc. Combustion Institute, 22, (1988), (9) Searby, G. and Quinard, J, Direct and Indirect Measurements of Markstein Numbers of Premixed Flames, Combustion and Flame, 82, (1990), (10) Kwon, S., Tseng, L.-K. and Faeth, GM, Laminar Burning Velocities and Transitions to Unstable Flames in H2/O2/N2 and C3H8/O2/N2 Mixtures, Combustion and Flame, 90, (1992), (11) Clavin, P, Dynamic Behavior of Premixed Flame Frorts in Laminar and Turbulert Flows, Progress in Energy and Combustion Science, 11, (1985), (1) Andrews, G.E. and Bradley, D., The Burning Velocity of Methane-Air Mixtures, Combustion and Flam 19, (1972), (2) Metghalchi, M. and Keck J.C., Laminar Burning Velocity of Propane-Air Mixtures at High Temperature and Pressure Combustion and Flame, 38, (1980), (3) Iijima, T. and Takeno, T., Effects of Tempetature and Pressure on Burning Velocity, Combustion and Flame, 65, (1986), (4) Hill, P.G. and Hung J., Laminar Burning Velocities of Stoicliometric Mixtures of Methane with Propane and Ethane Additives, Combustion Science and Technology, 60, (1988), (13) Bradley, D., GasIcll, P.H. and Gu, XJ, Burning Velocities, Maticstein Lengths, and Flame Quenching fa Sphencal Methane-Air Flames: A Computational Study, Combustion and Flame, 104, (1996), (14) Betchtold, JK and Matalon, M, The Dependence of the Maticstein Length on Stoichiometry, Combustion and Flame, 127, (2001), (15) Davis, SQ., Quinard, J. and Searby, G., Maticstein Numbers in Countetilow, Methane- and Propane- Air Flames: A Computational Study, Combustion and Flame, 130, (2002), (16) Btadley, D, Hicks, RA, Lawes, M, Sheppard, C.G.W, Woolley, R, The Measurement of Laminar Brining Velocities and Maikstein Numbers for Iso-octane-Air and Iso-octane-n-Heptane-Air Mixtures at Elevated Tempatures and Pressures in an Explosion Bomb, Combustion and Flame, 115, (1998), (17) Gu, XJ., Hag, MZ, Lawes, M, Woolley, R, Laminar Burning Velocity and Markstein Lengths of Methane-Air Mixtures, Combusticn and Flame, 121, (2000), (19) Hassan, M.I., Aung, KT. and Faeth, GM, Measured and Predicted Properties of Laminar Premixed Methane/Air Flames at Various Pressuns, Combustion and Flame, 115, (1998), (20) Kwon, O.C. and Faeth, GM, Flame/Stretch Interactions of Premixed Hydrogen-Fueled Flames: Measurements and Predictions, Combustion and Flame, 124, (2001), (21) Miller, U.C., Bollig, M. and Petas, N., Approximations for Bunting Velocities and Markstein Numbers for Lean Hydrocarbon and Methanol Flames, Combustion and Flame, 108, (1997), (22) Sun, CJ., Sung, CJ, He, L and Law, C.K., Dynamics of Weakly Stretched Flames: Quantitative Description and Extraction of Glcbal Flame Parameters, Combustion and Flame, 118, (1999), (23) Bradley,D., Hag, M.Z, Hidcs, RA, Kitagawa, T., Lawes, M., Sheppard, C.G.W. and Woolly, R, Turbulent Burring Velocity, Bumed Gas Distribution, and Associated Flame Surface Defirrition, Combustion and Flame, 133, (2003), (24) Lewis, B. and von Elbe, G., Combustion, Flames and Explcdons of Gases (3rd ed), Academic Press Inc, Orlando, 1987, p (25) Kee, RJ., Rupley, FM, Miller, JA., Coltrin, ME, et al, CI-IEMKIN Collection, Release 3.6, Reaction Design, Inc., San Diego, CA (2000). (26) (27) Sung, CJ., Li, B, Law, C.K. and Wang, H., Structure and Sooting Limits in Cairterflow Methane/Air Propane/Air Diffusion Flames fiom 1 to 5 Atmospheres, Proc. Combustion Institute, 27, (1998), (29) Bradley, D. and Hama, CM, The Development of Instabilities in Laminar Explosion Flames, Combustion and Flame, 99, (1994), (30) Bradley, D., Sheppard, C.G.W., Woolley. R, Greenhalgh, D.A. and Lockett, RD, The Development and Strodure of Flame Instabilities and Cellularity at Low Maikstein Numbers in Explosions, Combustion and Flam 122, (2000) (31) Groff E.G., The Cellular Nature of Confined Sphaical Propane-Air Flames, Combustion and Flame, 48, (1982), (32) Betchtold, JK. and Malalon, M., Hydrodynamic and Diffusion Effects on the Stability of Spherically Expanding Flames, Combustion and Flame, 67, (1987),

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