Abstract
This paper presents a derivation of an expression to estimate the accommodation coefficient for gas collisions with a graphite surface, which is meant for use in models of laser-induced incandescence (LII) of soot. Energy transfer between gas molecules and solid surfaces has been studied extensively, and a considerable amount is known about the physical mechanisms important in thermal accommodation. Values of accommodation coefficients currently used in LII models are temperature independent and are based on a small subset of information available in the literature. The expression derived in this study is based on published data from state-to-state gas-surface scattering experiments. The present study compiles data on the temperature dependence of translational, rotational, and vibrational energy transfer for diatomic molecules (predominantly NO) colliding with graphite surfaces. The data were used to infer partial accommodation coefficients for translational, rotational, and vibrational degrees of freedom, which were consolidated to derive an overall accommodation coefficient that accounts for accommodation of all degrees of freedom of the scattered gas distributions. This accommodation coefficient can be used to calculate conductive cooling rates following laser heating of soot particles.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L.A. Melton, Appl. Opt. 23, 2201 (1984)
R.J. Santoro, C.R. Shaddix, Laser-induced incandescence, in Applied Combustion Diagnostics, ed. by K. Kohse-Höinghaus, J.B. Jeffries (Taylor & Francis, New York, 2002), pp. 252–286
C. Schulz, B.F. Kock, M. Hofmann, H.A. Michelsen, S. Will, B. Bougie, R. Suntz, G.J. Smallwood, Appl. Phys. B 83, 333 (2006)
H.A. Michelsen, F. Liu, B.F. Kock, H. Bladh, A. Boiarciuc, M. Charwath, T. Dreier, R. Hadef, M. Hofmann, J. Reimann, S. Will, P.-E. Bengtsson, H. Bockhorn, F. Foucher, K.P. Geigle, C. Mounaïm-Rousselle, C. Schulz, R. Stirn, B. Tribalet, R. Suntz, Appl. Phys. B 87, 503 (2007)
F.O. Goodman, Prog. Surf. Sci. 5, 261 (1974)
F.O. Goodman, H.Y. Wachman, Dynamics of Gas-Surface Scattering (Academic, New York, 1976)
T. Lehre, B. Jungfleisch, R. Suntz, H. Bockhorn, Appl. Opt. 42, 2021 (2003)
K.J. Daun, G.J. Smallwood, F. Liu, J. Heat Transfer 130, 121201 (2008)
S.-A. Kuhlmann, J. Reimann, S. Will, J. Aerosol Sci. 37, 1696 (2006)
F. Liu, M. Yang, F.A. Hill, D.R. Snelling, G.J. Smallwood, Appl. Phys. B 83, 383 (2006)
D.R. Snelling, F. Liu, G.J. Smallwood, Ö.L. Gülder, Combust. Flame 136, 180 (2004)
R. Starke, B. Kock, P. Roth, Shock Waves 12, 351 (2003)
O. Leroy, J. Perrin, J. Jolly, M. Péalat, M. Lefebvre, J. Phys. D: Appl. Phys. 30, 499 (1997)
J. Häger, D. Glatzer, H. Kuze, M. Fink, H. Walther, Surf. Sci. 374, 181 (1997)
H. Vach, J. Häger, H. Walther, J. Chem. Phys. 90, 6701 (1989)
J. Häger, Y.R. Shen, H. Walther, Phys. Rev. A 31, 1962 (1985)
J. Häger, H. Walther, J. Vac. Sci. Technol. B 3, 1490 (1985)
J. Häger, H. Walther, Nucl. Instrum. Methods Phys. Res. Sect. A 239, 425 (1985)
H. Kuze, J. Häger, H. Walther, Chem. Phys. Lett. 153, 569 (1988)
H. Vach, J. Häger, H. Walther, Chem. Phys. Lett. 133, 279 (1987)
J. Häger, H. Walther, Annu. Rev. Mater. Sci. 19, 265 (1989)
C.T. Rettner, D.J. Auerbach, J.C. Tully, A.W. Kleyn, J. Phys. Chem. 100, 13021 (1996)
F. Pradére, A. De Martino, C. Flytzanis, Proc. Indian Acad. Sci. (Chem. Sci.) 103, 237 (1991)
S.I. Ionov, M.E. LaVilla, R.S. Mackay, R.B. Bernstein, J. Chem. Phys. 93, 7406 (1990)
I. Kinefuchi, H. Yamagachi, S. Shiozaki, Y. Sakiyama, Y. Matsumoto, Out-of-plane scattering distribution of nitrogen molecular beam on graphite (0001) surface, in Rarefied Gas Dynamics: 24th International Symposium (American Institute of Physics, 2005)
F. Frenkel, J. Häger, W. Krieger, H. Walther, G. Ertl, J. Segner, W. Vielhaber, Chem. Phys. Lett. 90, 225 (1982)
J. Häger, M. Fink, H. Walther, Surf. Sci. 550, 35 (2004)
J. Segner, H. Robota, W. Vielhaber, G. Ertl, F. Frenkel, J. Häger, W. Krieger, H. Walther, Surf. Sci. 131, 273 (1983)
C.T. Rettner, IEEE Trans. Magn. 34, 2387 (1998)
P.L. Houston, R.P. Merrill, Chem. Rev. 88, 657 (1988)
S.C. Saxena, R.K. Joshi, Thermal Accommodation and Absorption Coefficients of Gases (McGraw–Hill, New York, 1981)
H.A. Michelsen, M.A. Linne, B.F. Kock, M. Hofmann, B. Tribalet, C. Schulz, Appl. Phys. B 93, 645 (2008)
R.S. Berry, S.A. Rice, J. Ross, Physical Chemistry (Wiley, New York, 1980)
J.B.C. Pettersson, G. Nyman, L. Holmlid, J. Chem. Phys. 89, 6963 (1988)
G. Nyman, L. Holmlid, J.B.C. Pettersson, J. Chem. Phys. 93, 845 (1990)
M.B. Andersson, J.B.C. Pettersson, N. Marković, Surf. Sci. 384, L880 (1997)
M.B. Någård, N. Marković, J.B.C. Pettersson, J. Chem. Phys. 109, 10350 (1998)
M.B. Andersson, J.B.C. Pettersson, Chem. Phys. Lett. 250, 555 (1996)
M. van Opbergen, A. Boschetti, S. Iannotta, Opt. Express 4, 53 (1999)
K.C. Janda, J.E. Hurst, C.A. Becker, J.P. Cowin, D.J. Auerbach, L. Wharton, J. Chem. Phys. 72, 2403 (1980)
K.C. Janda, J.E. Hurst, J.P. Cowin, L. Wharton, D.J. Auerbach, Surf. Sci. 130, 395 (1983)
H.Y. Watanabe, H. Yamaguchi, M. Hashinokuchi, K. Sawabe, S. Maruyama, Y. Matsumoto, K. Shobatake, Chem. Phys. Lett. 413, 331 (2005)
I. Yasumoto, J. Phys. Chem. 91, 4298 (1987)
K.L. Day, Int. Astron. Union Symp. 52, 311 (1973)
Y. Matsuo, H. Vach, M. Châtelet, J. Häger, C. Roth, C. Flytzanis, H. Walther, J. Chem. Phys. 93, 4368 (1990)
Y. Watanabe, H. Yamaguchi, M. Hashinokuchi, K. Sawabe, S. Maruyama, Y. Matsumoto, K. Shobatake, Eur. Phys. J. D 38, 103 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Michelsen, H.A. Derivation of a temperature-dependent accommodation coefficient for use in modeling laser-induced incandescence of soot. Appl. Phys. B 94, 103–117 (2009). https://doi.org/10.1007/s00340-008-3278-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-008-3278-x