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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
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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

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