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Collapsing cylindrical shock waves in gases with low absorptivities
Author(s) -
Hirschler T.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811507
Subject(s) - shock wave , adiabatic process , shock (circulatory) , mechanics , molar absorptivity , isothermal process , context (archaeology) , front (military) , parametric statistics , thermodynamics , shock front , limiting , physics , optics , meteorology , mathematics , geology , medicine , mechanical engineering , paleontology , statistics , engineering
In the self‐similar formulation of the collapse of a cylindrical shock wave in radiating gas the temperature gradient at the shock front is an undetermined quantity. Together with the absorptivity an arbitrary choice of these two variables is the basis of a parametric study. The paramretric study focuses upon gases with low absorptivities and is extended up to the isothermal limit where the absorptivity is equal to zero. In this context it is shown that the heat flux at the shock front is almost negligible. For gases with low absorptivities the assumption of an adiabatic shock front is therefore a sufficient accurate approximation.