A simplified model for frictionally dominated tidal flows

A Simplified Solution for Advection Dominated Accretion Flows with Outflow

The existence of outflow in the advection dominated accretion flows has been confirmed by both numerical simulations and observations. The outow models for ADAF have been investigated by several groups with a simple self similar solution. But this solution is inaccurate at the inner regions and can not explain the emitted spectrum of the flow; so, it is necessary to obtain a global solution for...

Tidal dissipation in rotating fluid bodies: a simplified model

We study the tidal forcing, propagation and dissipation of linear inertial waves in a rotating fluid body. The intentionally simplified model involves a perfectly rigid core surrounded by a deep ocean consisting of a homogeneous incompressible fluid. Centrifugal effects are neglected, but the Coriolis force is considered in full, and dissipation occurs through viscous or frictional forces. The ...

Advection Dominated Accretion Flows. a Toy Disk Model

A toy model of a disk undergoing steady state accretion onto a black hole is presented. The disk is in a hydrostatic equilibrium for all radii r > rin, with the inner disk radius located between the marginally stable and marginally bound orbits: rms > rin > r mb. Matter flows from the disk through a narrow cusp at rms and falls freely into the black hole, carrying with it no thermal energy. At ...

Tidal Channel Dynamics and Muddy Substrates: a Comparison Between a Wave Dominated and a Tidal Dominated System

A simplified global solution for an advection-dominated accretion flow

When we model black hole accretion sources such as active galactic nuclei and black hole X-ray binaries as advection-dominated accretion flows (ADAFs), it is neccesary to use the global solution to the equations rather than the simpler self-similar solution, since the latter is inaccurate in the region near the black hole where most of the radiation is emitted. However, technically, it is a dif...