Rotational dynamics of a deformable medium - Further generalization

Astronomy and Astrophysics – Astrophysics

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Cloud Physics, Continuum Mechanics, Gas Dynamics, Rotating Bodies, Astronomical Models, Astrophysics

Scientific paper

Cauchy's fundamental first law of continuum mechanics is integrated over the whole mass of a self-gravitating deformable finite material continuum, viscolinear (i.e., Newtonian), not necessarily constrained to obey Stoke's condition, with viscosity coefficients given as arbitrary functions of the coordinates. The general Eulerian equation is derived, governing generalized rotation on which certain other cooperating deformations are superimposed. Finally, the explicit form of this equation is given for the case of a viscous gaseous polytrope

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