The local axisymmetric instability criterion in a thin, rotating, multicomponent disc
نویسندگان
چکیده
منابع مشابه
Local Axisymmetric Instability Criterion in the Thin , Rotating , Multicomponent Disk
Purely gravitational perturbations are considered in a thin rotating disk composed of several gas and stellar components. The dispersion relation for the axisymmetric density waves propagating through the disk is found and the criterion for the local axisymmetric stability of the whole system is formulated. In the appropriate limit of two-component gas we confirm the findings of Jog & Solomon (...
متن کاملNon-axisymmetric instability in thin discs
In a recent important paper, Papaloizou & Pringle (1984) have investigated the dynamical stability of a thick, differentially rotating disc of uniform entropy and uniform specific angular momentum. They find a strong global non-axisymmetric instability which grows on a dynamical time-scale. Here we show that a similar instability exists even in thin discs of arbitrary specific angular momentum....
متن کاملSteady Thermal Stresses in a Thin Rotating Disc of Finitesimal Deformation with Mechanical Load
Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising ...
متن کاملElastic-Plastic Transition in a Thin Rotating Disc with Inclusion
Stresses for the elastic-plastic transition and fully plastic state have been derived for a thin rotating disc with inclusion and results have been discussed numerically and depicted graphically. It has been observed that the rotating disc with inclusion and made of compressible material requires lesser angular speed to yield at the internal surface whereas it requires higher percentage increas...
متن کاملA criterion on instability of rotating cylindrical surfaces
We consider a column of a rotating stationary surface in Euclidean space. We obtain a value l0 > 0 in such way that if the length l of column satisfies l > l0, then the surface is instable. This extends, in some sense, previous results due to Plateau and Rayleigh for columns of surfaces with constant mean curvature. 1 Statement of the problem and the result Consider a column of a circular cylin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2001
ISSN: 0035-8711,1365-2966
DOI: 10.1046/j.1365-8711.2001.04201.x