Computer Science
Scientific paper
Jun 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icar...62..360s&link_type=abstract
Icarus (ISSN 0019-1035), vol. 62, June 1985, p. 360-383.
Computer Science
56
Particle Collisions, Planetary Rings, Hydrodynamics, Inelastic Collisions, Krook Equation, Momentum Transfer, Navier-Stokes Equation, Particle Size Distribution, Saturn Rings, Dynamics, Collisions, Equations, Particles, Size, Distribution, Saturn, Rings, Momentum, Transport, Comparisons, Frequency, Gravity Effects, Hydrodynamics, Viscosity, Analysis, Perturbations, Spheres, Scattering, Nebula, Accretion, Formation
Scientific paper
It is shown that the use of the Krook equation greatly simplifies the discussion of the collisional dynamics of particulate disks. Collisions are assumed to be inelastic from the outset. A simple heuristic argument is used to compute the effective collision rate in a disk of spherical particles with a power-law distribution of sizes. For Saturn's rings, the effective collision rate for momentum transport is substantially lower than that conventionally estimated on the basis of an observed optical depth at visual wavelengths. The closure of the vertically integrated set of moment equations without discarding the third-order moments at the outset is discussed, allowing for the possibility of a bent disk. In the limit that the collision frequency is much larger than the orbit frequency, the usual Navier-Stokes equations of viscous hydrodynamics for a thin disk are recovered with an explicit expression for the shear viscosity. The method is generalized to include the effects of gravitational scattering.
Shu Frank H.
Stewart Glen Robert
No associations
LandOfFree
The collisional dynamics of particulate disks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The collisional dynamics of particulate disks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The collisional dynamics of particulate disks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1668282