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Model computations of the influence of carbon impurities on the ionization relaxation in krypton shock waves

Published online by Cambridge University Press:  26 April 2006

D. Klages  and
F. Demmig
D. Klages
Affiliation:
Institut für Plasmaphysik, Universität Hannover, Callinstraße 38, D-3000 Hannover, Germany
F. Demmig
Affiliation:
Institut für Plasmaphysik, Universität Hannover, Callinstraße 38, D-3000 Hannover, Germany
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Abstract

Chemical reactions in shock waves can be strongly affected by minute impurity concentrations. Thus it is not adequate to take into account the additional impurity electron production in relaxation studies simply by global adjustment of the atom—atom excitation cross-section constant to the measured electron density.

A definite improvement, however, can only be achieved if the ionization relaxation model is extended to include all relevant impurity atom reactions. Consequently we treated the real test gas as a mixture of krypton and impurity carbon atoms. For the carbon model it is important to take the lower real excitation levels into consideration. Carrying out a sensitivity analysis we were able to reduce the number of reactions substantially. A comparison with experimental electron density profiles yielded 3.0 × 10−6 m2/J for the Kr—Kr excitation cross-section constant as well as values for the C—Kr constants.

For a temperature of about 8000 K and an impurity concentration of about 40 p.p.m. it is shown that the impurity reactions dominate the electron production in the initial relaxation zone. This effect causes a pronounced decrease of the relaxation time with increasing concentration.

By comparing computational results of the Kr–C model with those of the simplistic pure Kr model it is possible to explain the dependence of the Kr–Kr excitation cross-section constant on the impurity concentration and the plasma temperature.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 232 , November 1991 , pp. 455 - 467
Copyright
© 1991 Cambridge University Press

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