Polytropic, differentially rotating cylinders

Physics

Scientific paper

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Hydrodynamics, Stellar Rotation

Scientific paper

Infinite cylinders composed of polytropic material can possess nearly arbitrary rotation fields while retaining the fundamental simplicity of one-dimensional structures. The physical properties of these objects can be easily calculated and understood by junior-senior level physics students even without access to a large computing facility. Analytical results are presented here for polytropic index 0 and 1 as well as numerical results for polytropic index 1.5.

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