New approximate formulas for viscosity and thermal conductivity of dilute gas mixtures

AIAA Journal

Volumn 41, Issue 3, 2003, Pages 525-537

  Copeland, Drew A ^a,b  

^a BOEING COMPANY   (United States)

^b SCHAFER CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; COMPOSITION; MOLECULAR WEIGHT; SPECIFIC HEAT; THERMAL CONDUCTIVITY; VISCOSITY;

GAS MIXTURES;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0037346737     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1977     Document Type: Article

References (37)

1. Paschkewitz, J., Shang, J., Miller, J., and Madden, T., "An Assessment of COIL Physical Property and Chemical Kinetic Modeling Methodologies," AIAA Paper 2000-2574, June 2000.
2. Wilke, C. R., "A Viscosity Equation for Gas Mixtures," Journal of Chemical Physics, Vol. 18, No. 4, 1950, pp. 517-519.
3. Hirschfelder, J. O., Curtiss, C. F., and Bird, R. B., Molecular Theory of Gases and Liquids, Corrected Printing with Notes Added, Wiley, New York, 1964.
4. Ferziger, J. H., and Kaper, H. G., Mathematical Theory of Transport Process in Gases, North-Holland, Amsterdam, 1972.
5. Paul, P. H., and Warnatz, J., "A Re-Evaluation of the Means used to Calculate Transport Properties of Reacting Flows," Twenty-Seventh Symposium (International) on Combustion, Combustion Inst., Pittsburgh, PA, 1998, pp. 495-504.
6. Mason, E. A., and Saxena, S. C., "Approximate Formula for the Thermal Conductivity of Gas Mixtures," Physics of Fluids, Vol. 1, No. 5, 1958, pp. 361-369.
7. Brokaw, R. S., "Approximate Formulas for the Viscosity and Thermal Conductivity of Gas Mixtures," Journal of Chemical Physics, Vol. 29, No. 2, 1958, pp. 391-397.
8. Brokaw, R. S., "Approximate Formulas for the Viscosity and Thermal Conductivity of Gas Mixtures. II," Journal of Chemical Physics, Vol. 42, No. 4, 1965, pp. 1140-1146.
9. Brokaw, R. S., "Viscosity of Gas Mixtures," NASA TN D-4496, April 1968.
10. Brokaw, R. S., "Predicting Transport Properties of Dilute Gases," I & EC Process Design and Development, Vol. 8, No. 2, 1969, pp. 240-253.
11. Brokaw, R. S., "Viscosity of Binary Polar-Gas Mixtures," Journal of Chemical Physics, Vol. 52, 1970, pp. 2796, 2797.
12. Schreiber, M., Vesovic, V, and Wakeham, W. A., "Thermal Conductivity of Multicomponent Dilute Gas Mixtures," International Journal of Thermophysics, Vol. 18, No. 4, 1997, pp. 925-938.
13. Thijsse, B. J., Hooft, G. W., Coombe, D. A., Knapp, H. F. P., and Beenakker, J. J. M., "Some Simplified Expressions for the Thermal Conductivity in an External Field," Physica, Vol. 98A, 1979, pp. 307-312.
14. Ern, A., and Giovangigli, V, "Fast and Accurate Multicomponent Transport Property Evaluation," Journal of Computational Physics, Vol. 120, 1995, pp. 105-116.
15. Hirschfelder, J. O., "Heat Conductivity in Polyatomic, Electronically Excited, or Chemically Reacting Mixtures, III," Sixth Symposium (International) on Combustion, Reinhold, New York, 1957, pp. 351-356.
16. Uribe, F. J., Mason, E. A., and Kestin, J., "Composition Dependence of the Thermal Conductivity of Low-Density Polyatomic Gas Mixtures," International Journal of Thermophysics, Vol. 12, No. 1, 1991, pp. 43-51.
17. Ross, M. J., Vesovic, V, and Wakeham, W. A., "Alternative Expressions for the Thermal Conductivity of Dilute Gas Mixtures," Physica A, Vol. 183, 1992, pp. 519-536.
18. Cowling, T. G., Gray, P., and Wright, P. G., "The Physical Significance of Formulae for the Thermal Conductivity and Viscosity of Gaseous Mixtures," Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. A276, 1963, pp. 69-82.
19. Golub, G. H., and van Loan, C. F., Matrix Computations, 3rd ed., Johns Hopkins Press, Baltimore, MD, 1996.
20. Stoer, J., and Bulirsch, R., Introduction to Numerical Analysis, 2nd ed., Springer-Verlag, New York, 1993.
21. Datta, B. N., Numerical Linear Algebra and Applications, Books/Cole, Pacific Grove, CA, 1995.
22. Ern, A., and Giovangigli, V, "Projected Iterative Algorithms with Applications to Multicomponent Transport." Linear Algebra and Its Application, Vol. 250, 1997, pp. 289-315.
23. Monchick, L., and Mason, E. A., "Transport Properties of Polar Gases," Journal of Chemical Physics, Vol. 35, No. 5, 1961, pp. 1676-1697.
24. Fristrom, R. M., and Monchick, L., "Two Simple Approximations to the Thermal Diffusion Factor and Their Applications to Flame Studies," Combustion and Flame, Vol. 71, 1988, pp. 89-99.
25. Wang-Chang, C. S., Uhlenbeck, G. E., and de Boer, J., "The Heat Conductivity and Viscosity of Polyatomic Gases," Studies in Statistical Mechanics, edited by J. de Boer and G. E. Uhlenbeck, Vol. 2, North-Holland, Amsterdam, 1964, pp. 241-268.
26. van der Oord, R. J., and Korving, J., "The Thermal Conductivity of Polyatomic Molecules," Journal of Chemical Physics, Vol. 89, No. 7, 1988, pp. 4333-4338.
27. Millat, J., Vesovic, V, and Wakeham, W. A., "On the Validity of the Simplified Expression for Thermal Conductivity of Thijsse et al.," Physica, Vol. 148A, 1988, pp. 153-164.
28. Ern, A., and Giovangigli, V., "Thermal Conduction and Thermal Diffusion in Dilute Polyatomic Gas Mixtures "Physica A, Vol. 214, 1995, pp. 526-546.
29. Vesovic, V., and Wakeham, W. A., "Practical Accurate Expressions for the Thermal Conductivity of Atom-Diatom Mixtures," Physica A, Vol. 201, 1993, pp. 501-514.
30. Poling, B. E., Prausnitz, J. M., and O'Connell, J. P., The Properties of Gases and Liquids, 5th ed., McGraw-Hill, New York, 2001.
31. Touloukian, Y. S., Saxena, S. C., and Hestermans, P., Viscosity: Thermophysical Properties of Matter, Vol. 11, Plenum, Washington, DC, 1975.
32. Touloukian, Y. S., Liley, P. E., and Saxena, S. C., Thermal Conductivity: Nonmetallic Liquids and Gases. Thermophysical Properties of Matter, Vol. 3, Plenum, Washington, DC, 1970.
33. Buddenberg, J. W., and Wilke, C. R., "Calculation of Gas Mixture Viscosities," Industrial and Engineering Chemistry, Vol. 41, No. 7, 1949, pp. 1345-1347.
34. Svehla, R. A., "Estimated Viscosities and Thermal Conductivities of Gases at High Temperature," NASA TR R-132, 1962.
35. Mathur, S., Tondon, P. K., and Saxena, S. C., "Thermal Conductivity of Binary, Ternary, and Quaternary Mixtures of Rare Gases," Molecular Physics, Vol. 12, No. 6, 1967, pp. 569-579.
36. Bzowski, J., Kestin, J., Mason, E. A., and Uribe, F. J., "Equilibrium and Transport Properties of Gas Mixtures at Low Density: Eleven Polyatomic Gases and Five Noble Gases," Journal of Physical Chemistry Reference Data, Vol. 19, No. 5, 1990, pp. 1179-1232.
37. Paul, P. H., "DRFM: A New Package for the Evaluation of Gas-Phase Transport Properties," Sandia National Labs., Rept. SAND98-8203, UC-1409, Albuquerque, NM, and Livermore, CA, Nov. 1997.