The collapse of cylindrical isothermal and polytropic clouds with rotation

Statistics – Computation

Scientific paper

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Gravitational Collapse, Isothermal Processes, Molecular Clouds, Polytropic Processes, Star Formation, Stellar Rotation, Astronomical Models, Computational Astrophysics, Hydrodynamics, Jeans Theory

Scientific paper

Two-dimensional numerical hydrodynamic calculations are carried out to study the effect of the geometry on the process of gravitational collapse of a rotating axisymmetric cloud. Both polytropic and isothermal equations of state are used in the analysis. It is shown that the shape of a cloud undergoing collapse is the dominant factor in all cases, except where the polytropic constant is large (greater than 4/3). Without rotation, clouds differing from a uniform geometry collapse more readily, while the rotating oblate clouds require a larger initial Jeans number than either clouds with L/D = 1 or prolate clouds.

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