Exact solution for stable convective concentration flows of a Couette type

Exact solution for granular flows

In this paper, we present the exact solution of the Riemann problem for the nonlinear one-dimensional so-called shallow-water or Saint-Venant equations with friction proposed by SAVAGE and HUTTER to describe debris avalanches. This model is based on the depth-averaged thin layer approximation of granular flows over sloping beds and takes into account a Coulomb type friction law with a constant ...

Absolute and convective instability of cylindrical Couette flow with axial and radial flows

Imposing axial flow in the annulus and/or radial flow through the cylindrical walls in a Taylor– Couette system alters the stability of the flow. Theoretical methods and numerical simulations were used to determine the impact of imposed axial and radial flows, homogeneous in the axial direction, on the first transition of Taylor–Couette flow in the framework of convective and absolute instabili...

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...

Convective Instabilities in Plane Couette Flow

A convective-like energy-stable open boundary condition for simulations of incompressible flows

Article history: Received 3 June 2015 Received in revised form 20 August 2015 Accepted 11 September 2015 Available online 15 September 2015