Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T11:02:16.401Z Has data issue: false hasContentIssue false
  • English
  • Français

Ionizing argon boundary layers. Part 1. Quasi-steady flat-plate laminar boundary-layer flows

Published online by Cambridge University Press:  12 April 2006

W. S. Liu ,
B. T. Whitten  and
I. I. Glass
W. S. Liu
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada M3H 5T6 Present address: Thermalhydraulics Research Branch, Atomic Energy of Canada Ltd, Pinawa, Manitoba, Canada.
B. T. Whitten
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada M3H 5T6
I. I. Glass
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada M3H 5T6
Get access Rights & Permissions [Opens in a new window]

Abstract

Details are given of an implicit six-point finite-difference scheme for solving two-temperature, laminar, boundary-layer flows not in chemical equilibrium in ionizing argon. The analysis extends previous work by considering the radiation-energy loss and the chemical reactions due to atom-atom and electron-atom collisions in the ionizing boundary-layer and free-stream flow. Also included are variations in transport properties based on known elastic-scattering cross-sections, effects of chemical reactions, radiation-energy loss and the electric-sheath wall boundary conditions. The results are compared with dual-wavelength interferometric boundary-layer data obtained by using a Mach-Zehnder interferometer 23 cm in diameter with the UTIAS 10 × 18 cm Hypervelocity Shock Tube for shocks of initial Mach numbers Ms ∼ 13 and 16 moving into argon at a pressure p0 ∼ 5 torr and temperature T0 ∼ 297 °K. Considering the difficulties involved in solving such complex plasma flows, satisfactory agreement was obtained between analytic and experimental total-density profiles and electron-number-density profiles for the case Ms ∼ 16 and good agreement for Ms ∼ 13.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 87 , Issue 4 , 29 August 1978 , pp. 609 - 640
Copyright
© 1978 Cambridge University Press

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

Amdur, I. & Mason, E. A. 1958 Phys. Fluids 1, 370.
Appleton, J. P. & Bray, K. N. C. 1964 J. Fluid Mech. 20, 659.
Back, L. H. 1967 Phys. Fluids 10, 807.
Blottner, F. G. 1964 A.I.A.A. J. 2, 1921.
Blottner, F. G. 1970 A.I.A.A. J. 8, 193.
Bredfeldt, H. R., Scharfman, W. E., Guthart, H. & Morita, T. 1967 A.I.A.A. J. 5, 91.
Brimelow, P. I. 1974 M.Sc. thesis, University of Toronto.
Brown, R. T. & Mitchner, M. 1971 Phys. Fluids 14, 933.
Byron, S., Stabler, R. C. & Bortz, P. I. 1962 Phys. Rev. Lett. 8, 376.
Camac, M. & Kemp, N. H. 1963 A.I.A.A. Paper no. 63-460.
Chan, Y. Y. 1971 C.A.S.I. Trans. 4, 108.
Chung, P. M. 1963 Phys. Fluids 7, 110.
Chung, P. M. & Mullen, J. F. 1963 A.I.A.A. Paper no. 63-161.
Crandall, S. H. 1955 Quart. Appl. Math. 13, 318.
Douglas, J. 1956 Pacif. J. Math. 6, 35.
Douglas, J. & Jones, B. F. 1963 SIAM J. 11, 195.
Enemoto, Y. 1973 J. Phys. Soc. Japan 35, 1228.
Eu, B. C. & Liu, W. S. 1975 J. Chem. Phys. 63, 592.
Fay, J. A. 1962 Amp. 71, Avco/Everett Res. Lab. Rep.
Fay, J. A. & Kemp, N. H. 1965 J. Fluid Mech. 21, 659.
Finson, M. L. & Kemp, N. H. 1965 Phys. Fluids 8, 201.
Glass, I. I. & Liu, W. S. 1978 J. Fluid Mech. 84, 55.
Glass, I. I., Liu, W. S. & Tang, F. C. 1977 Can. J. Phys. 55, 1269.
Hinnov, E. & Hirschberg, J. G. 1962 Phys. Rev. 125, 795.
Hoffert, M. I. & Lien, H. 1967 Phys. Fluids 10, 1769.
Honma, H. & Komuro, H. 1976 A.I.A.A. J. 14, 981.
Jaffrin, M. Y. 1965 Phys. Fluids 8, 606.
Knöø, S. 1968 J. Plasma Phys. 2, 207.
Kuiper, R. 1968 Stanford Univ. Rep. SUDAAR 353.
Liu, W. S. 1978 Inst. Aerospace Stud., Univ. Toronto Rep. UTIAS 8 226.
Mansfeld Hutten, C. B. L. 1976 Ph.D. thesis, Eindhoven University of Technology, Eindhoven, The Netherlands.
Mirels, H. 1966 Phys. Fluids 9, 1907.
Nishida, M. & Matsuoka, K. 1971 A.I.A.A. J. 9, 2117.
Park, C. 1964 A.I.A.A. J. 2, 169.
Petschek, H. & Byron, S. 1957 Ann. Phys. 1, 270.
Sells, C. C. L. 1966 Roy. Aircraft Estab. Tech. Rep. no. 66243.
Sherman, A. & Reshotko, E. 1969 A.I.A.A. J. 7, 610.
Su, C. & Lam, S. H. 1963 Phys. Fluids 6, 1479.
Takano, Y. & Akamatsu, T. 1975 Mem. Faculty Engng, Kyoto Univ., Japan 36, 333.
Tambour, Y. & GAL-OR, B. 1977 Phys. Fluids 20, 880.
Tseng, R. C. & Talbot, L. 1971 A.I.A.A. J. 9, 1365.
Whitten, B. T. 1977 Ph.D. thesis, Institute for Aerospace Studies, University of Toronto.
Zapesochnyi, I. P. & Feltsan, P. V. 1966 Opt. Spectrosc. 20, 291.