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- Title
One-dimensional spherical shock waves in an interstellar dusty gas clouds.
- Authors
Chauhan, Astha; Sharma, Kajal
- Abstract
A system of partial differential equations describing the one-dimensional motion of an inviscid self-gravitating and spherical symmetric dusty gas cloud, is considered. Using the method of the kinematics of one-dimensional motion of shock waves, the evolution equation for the spherical shock wave of arbitrary strength in interstellar dusty gas clouds is derived. By applying first order truncation approximation procedure, an efficient system of ordinary differential equations describing shock propagation, which can be regarded as a good approximation of infinite hierarchy of the system. The truncated equations, which describe the shock strength and the induced discontinuity, are used to analyze the behavior of the shock wave of arbitrary strength in a medium of dusty gas. The results are obtained for the exponents from the successive approximation and compared with the results obtained by Guderley's exact similarity solution and characteristic rule (CCW approximation). The effects of the parameters of the dusty gas and cooling-heating function on the shock strength are depicted graphically.
- Subjects
SPHERICAL waves; SHOCK waves; INTERSTELLAR gases; ORDINARY differential equations; PARTIAL differential equations; INVISCID flow
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2021, Vol 76, Issue 5, p417
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2020-0210