Critically Rotating Polytropic Cylinders

Details Critically Rotating Polytropic Cylinders Critically Rotating Polytropic Cylinders

Dec 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008apj...688.1112o&link_type=abstract

The Astrophysical Journal, Volume 688, Issue 2, pp. 1112-1117.

Astronomy and Astrophysics

Astronomy

Equation Of State, Hydrodynamics, Ism: Kinematics And Dynamics

Scientific paper

Observations indicate that interstellar molecular clouds can often be approximated by rotating (polytropic) cylinders. The two limiting configurations-the homogeneous and the isothermal cylinder-are used to obtain analytical solutions valid, at least qualitatively, for the whole range 0<=n<=∞ of permitted polytropic indices. The radius of critically rotating, infinitely long polytropic cylinders has a flat minimum at polytropic index n=0.854, becoming infinite in the two limiting cases n=0 and ∞. The ratio between the radii of critically rotating and nonrotating polytropic cylinders decreases strongly from ∞ if n=0 to 1.52 if n=2.04, afterward increasing slowly to exp(1/2)=1.65 if n=∞. Natural polytropic variables are presented in the Appendix.

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