By modelling the average activity of large neuronal populations, continuum mean field models (MFMs) have become an increasingly important theoretical tool for understanding the emergent activity of cortical tissue. In order to be computationally tractable, long-range propagation of activity in MFMs is often approximated with partial differential equations (PDEs). However, PDE approximations in ...

We investigate the problem of ballistically controlled reactions where particles either annihilate upon collision with probability p, or undergo an elastic shock with probability 1-p. Restricting to homogeneous systems, we provide in the scaling regime that emerges in the long time limit, analytical expressions for the exponents describing the time decay of the density and the root-mean-square ...

sieve trays are widely used in the gas- liquid contactors such as distillation and absorption towers. in this article, a three-dimensional, two phase cfd model using euler-euler framework was developed to simulate a distillation tower with two sieve trays. hydrodynamic simulation of air and water system in different rates of gas phase was carried out and velocity distribution parameters, clear ...

the unsteady flow in porous medium of a viscous incompressible fluid bounded by two parallel porous plates is studied with heat transfer. a uniform and constant pressure gradient is applied in the axial direction whereas a uniform suction and injection are applied in the direction normal to the plates. the two plates are kept at constant and different temperatures and the viscous dissipation is...

A predictive model for droplet size and velocity distributions of a pressure swirl atomizer has been proposed based on the maximum entropy formalism (MEF). The constraint conditions of the MEF model include the conservation laws of mass, momentum, and energy. The effects of liquid swirling strength, Weber number, gas-to-liquid axial velocity ratio and gas-to-liquid density ratio on the droplet ...

Presented are preliminary measurements of near-cathode ion velocity distributions using time-resolved laser induced fluorescence. Two experiments were performed. First, time-averaged velocity distributions were measured in a LaB6 hollow cathode plume under the influence of a Hall thruster magnetic field provided by the 6-kW H6 thruster. The discharge was sustained without a downstream anode but...