Abstract
The Knudsen effect on heat transfer to a particle exposed to a thermal plasma is important for many practical situations experienced in plasma chemistry and plasma processing. This paper provides theoretical results of this effect based on the “heat conduction potential jump” approach. It is shown that a correction factor which depends on the Knudsen number must be introduced into the expressions for heat fluxes obtained previously based on the continuum approach. The Knudsen effect is stronger for smaller particles and it is also more pronounced for an Ar-H2 plasma (compared to Ar and nitrogen plasmas at the same temperature). Since the Knudsen effect depends on the surface temperature of a particle, calculation of particle heating becomes more complicated.
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References
E. H. Kennard,Kinetic Theory of Gases, McGraw-Hill, New York (1938), pp. 311–327.
F. M. Devienne, Low-Density Heat Transfer, inAdvances in Heat Transfer, Vol. 2, J. P. Hartnett and T. Irvine, eds., Academic Press, New York (1965), pp. 271–356.
G. S. Springer, Heat Transfer in Rarefied Gases, inAdvances in Heat Transfer, Vol. 7, J. P. Hartnett and T. Irvine, eds., Academic Press, New York (1971), pp. 163–218.
L. Lees, Kinetic Theory Description of Rarefied Gas Flow,J. Soc. Ind. Appl. Math. 13, No. 1, 278–311 (1965).
T. Honda, T. Hayashi, and A. Kanzawa, Heat Transfer from Rarefied Ionized Argon Gas to a Biased Tungsten Fine Wire,Int. J. Heat Mass Transf. 24, No. 7, 1247–1255 (1981).
N. N. Rykalin, A. A. Uglov, Yu. N. Lokhov, and A. G. Gnedovets, Properties of Heating of Submicron Metal Particles in a Hot Gas,High Temp. 19, No. 3, 404–411 (1981).
K. Takao, Heat Transfer from a Sphere in a Rarefied Gas, inAdvances in Applied Mechanics, Supplement 2 (Proc. Third Rarefied Gas Dynamics Sympsoium), Vol. 2, J. A. Laurmann, ed., Academic Press, New York (1963), 102–111.
Xi Chen and E. Pfender, Heat Transfer to a Single Particle Exposed to a Thermal Plasma,Plasma Chem. Plasma Process. 2, No. 2, 185–212 (1982).
Xi Chen and E. Pfender, Unsteady Heating and Radiation Effect of Small Particles in a Thermal Plasma,Plasma Chem. Plasma Process. 2, No. 3, 291–314 (1982).
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On leave from the Department of Engineering Mechanics, Tsinghua University, Beijing, P.R.C.
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Chen, X., Pfender, E. Effect of the Knudsen number on heat transfer to a particle immersed into a thermal plasma. Plasma Chem Plasma Process 3, 97–113 (1983). https://doi.org/10.1007/BF00566030
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DOI: https://doi.org/10.1007/BF00566030