Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.258..301r&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 258, no. 2, Sept. 15, 1992, p. 301-305. Research suppor
Astronomy and Astrophysics
Astronomy
12
Burger Equation, Interstellar Matter, Radio Jets (Astronomy), Shock Wave Propagation, Mach Number, Scaling Laws, Velocity Distribution
Scientific paper
Astrophysical jets from sources with nonperiodic variabilities are addressed. With a simple analytic formalism based on solutions of the Boltzmann and the inviscid Burgers equation, it is possible to find self-similar solutions that describe the spatial and velocity distributions of the knots as a function of distance from the source. Numerical solutions of Burgers' equation show that the distribution of knots in a jet from a randomly variable source does reach this self-similar solution at large distances from the source. This self-similar structure is characterized by a mean separation between knots Delta(x) varies as x super p, with p = 2/3 (where x is the distance from the source). Different self-similar solutions (with values of p ranging from 1/2 to 1) are found for other assumptions about the properties of the jet knots.
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