Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988amfm.conf..358l&link_type=abstract
Applied Mathematics, Fluid Mechanics, Astrophysics; a symposium to honor C. C. Lin. Held June 22-24, 1987, at the Massachusetts
Astronomy and Astrophysics
Astrophysics
Equations Of State, Gas Density, Gravitational Effects, Gravitational Fields, Molecular Clouds, Shapes, Shock Fronts, Smoothing, Spiral Galaxies, Nonlinearity, Thickness, Viscous Fluids
Scientific paper
Density-wave profile shapes are influenced by several effects. By solving viscous fluid equations, the nonlinear effects of the gas and its gravitational interaction with the stars can be analyzed. The stars are treated through a linear theory developed by Lin and coworkers. Short wavelength gravitational forces are important in determining the gas density profile shape. With the inclusion of disk finite thickness effects, the gas gravitational field remains important, but is significantly reduced at short wavelengths. Softening of the gas equation of state results in an enhanced response and a smoothing of the gas density profile. A Newtonian stress relation is marginally acceptable for HI gas clouds, but not acceptable for giant molecular clouds.
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