Hostname: page-component-745bb68f8f-5r2nc Total loading time: 0 Render date: 2025-01-12T10:31:54.705Z Has data issue: false hasContentIssue false
  • English
  • Français

Mass and heat transfer in a diatomic gas

Published online by Cambridge University Press:  13 March 2009

J. C. Haas ,
V. S. Arapaci  and
G. S. Springer
J. C. Haas
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor
V. S. Arapaci
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor
G. S. Springer
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor
Get access Rights & Permissions [Opens in a new window]

Abstract

The transfer of mass and heat through a diatomic gas bounded by two plane parallel surfaces is investigated by a kinetic model which includes translational, rotational and vibrational degrees of freedom. A full range moment method is employed in the solution. Numerical solutions obtained for small temperature and pressure differences show the effect of inelastic collisions on the mass and heat fluxes. Approximate analytical expressions are derived for the mass and heat transfer rates, which are valid over the entire density range and yield the correct free-molecule and continuum limits. The results agree well with existing heat transfer and density measurements.

Type
Research Article
Information
Journal of Plasma Physics , Volume 6 , Issue 3 , December 1971 , pp. 547 - 560
Copyright
Copyright © Cambridge University Press 1971

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Anderson, D., Baum, H. & Krook, M. 1969 Rarefied Gas Dynamics (eds. Trilling, L. and Wachman, H.), 1,49. Academic.Google Scholar
Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
Brau, C. 1967 Phys. Fluids, 10, 48.CrossRefGoogle Scholar
Brau, C. & Simons, G. 1967 Avco Everett Res. Rep. no. 262.Google Scholar
Cipolla, J. W. & Morse, T. F. 1968 Phys. Fluids, 11, 1292.CrossRefGoogle Scholar
Hanson, F. B. & Morse, T. F. 1967 Phys. Fluids, 10, 345.CrossRefGoogle Scholar
Hertz, H. 1882 Ann. Phys. 17, 177.CrossRefGoogle Scholar
Hirschfelder, J. O., Curtiss, C. F. & Bird, R. B. 1954 Molecular Theory of Gases and Liquids. Wiley.Google Scholar
Holway, L. H. 1966 Phys. Fluids, 9, 1658.CrossRefGoogle Scholar
Hsu, S. K. & Morse, T. F. 1967 Rarefied Gas Dynamics (ed. Braudin, L.), 1, 419. Academic.Google Scholar
Huang, A. B. & Huang, P. F. 1969 ASME Winter Annual Meeting, Paper 69-WA/HT- 39.Google Scholar
Kennard, E. K. 1938 Kinetic Theory of Gases. McGraw-Hill.Google Scholar
Knudsen, M. 1915 J. Am. Chem. Soc. 37, 417.Google Scholar
Lees, L. 1959 Guggenheim Aero. Lab. Memorandum, no. 51. California Institute of Technology.Google Scholar
Lees, L. 1965 J. Soc. Indust. Appl. Math. 13, 278.CrossRefGoogle Scholar
Lees, L. & Liu, C. Y. 1962 Phys. Fluids, 5, 1137.Google Scholar
Liu, C. T. & Lees, L. 1961 Rarefied Gas Dynamics (ed. Talbot, L.), 1, 391. Academic.Google Scholar
Mason, E. A. & Monchick, L. 1962 Phys. Fluids, 36, 1622.Google Scholar
Maxwell, J. C. 1877 Encyclopaedia Britannica, 2, 82.Google Scholar
Monchick, L. & Mason, E. A. 1961 J. Chem. Phys. 35, 1676.Google Scholar
Monchick, L., Yun, K. S. & Mason, E. A. 1963 Phys. Fluids, 39, 654.Google Scholar
Morse, T. F. 1964 Phys. Fluids, 7, 159.CrossRefGoogle Scholar
Ninham, B. W. & Wood, W. P. 1968 Phys. Fluids, 11, 1928.Google Scholar
Parker, J. G. 1959 Phys. Fluids, 2, 449.Google Scholar
Patton, A. J. & Springer, G. S. 1969 Rarefied Gas Dynamics (eds. Trilling, L. and Wachman, H.), 2, 1497. Academic.Google Scholar
Phillips, W. F., Arpaci, V. S. & Larsen, P. S. 1970 J. Plasma Phys. 4, 429.CrossRefGoogle Scholar
Shankar, P. N. 1968 Ph.D. Thesis, California Institute of Technology.Google Scholar
Taxman, N. 1958 Phys. Rev. 110, 1235.Google Scholar
Teagan, W. P. & Springer, G. S. 1968 Phys. Fluids, 11, 497.CrossRefGoogle Scholar
Turcotte, D. L. 1969 Rarefied Gas Dynamics (eds. Trilling, L. and Wachman, H. Y.), 1, 331. Academic.Google Scholar
Venkataraman, R. & Morse, T. F. 1969 Rarefied Gas Dynamics (eds. Trilling, L. and Wachman, H. Y.), 1, 343. Academic.Google Scholar
Wang, Chang C. S. & Uhlenbeck, G. E. 1951 University of Michigan Engineering Res. Rep. no. CM-681.Google Scholar
Welander, P. 1954 Ark. Fys. 7, 44.Google Scholar