Structure and stability of rotating fluid disks around massive objects. I. Newtonian formulation |
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| Authors: | D K Chakraborty A R Prasanna |
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| Institution: | (1) Physical Research Laboratory, 380009 Ahmedabad |
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| Abstract: | In this paper we have presented a very general class of solutions for rotating fluid disks around massive objects (neglecting
the self gravitation of the disk) with density as a function of the radial coordinate only and pressure being nonzero. Having
considered a number of cases with different density and velocity distributions, we have analysed the stability of such disks
under both radial and axisymmetric perturbations. For a perfect gas disk with γ= 5/3 the disk is stable with frequency (MG/r3)1/2 for purely radial pulsation with expanding and contracting boundary. In the case of axisymmetric perturbation the critical
γc for neutral stability is found to be much less than 4/3 indicating that such disks are mostly stable under such perturbations.
On leave of absence from Government College, Jagdalpur 494005. |
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| Keywords: | Fluid disks stability |
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