Point scatterers are placed on the real line such that the distances between scatterers are independent identically distributed random variables (stationary renewal process). For a fixed configuration of scatterers a particle performs the following random walk: The particle starts at the point x with velocity v, Iv[ = 1. In between scatterers the particle moves freely. At a scatterer the partic...

In this paper, a method which estimates the trajectory of the vehicle from a single vehicle camera is proposed. The proposed method is a model based method which assumes that the vehicle is running on a planar road. The input image is converted to a Top-View image and a matching (registration) between the next Top-View image is done. The registration is done based on an assumed velocity paramet...

We describe a new system for estimating road shape ahead of a vehicle for the purpose of driver assistance. The method utilises a single on board colour camera, together with inertial and velocity information, to estimate both the position of the host car with respect to the lane it is following and also the width and curvature of the lane ahead at distances of up to 80 metres. The system’s ima...

Numerical simulations were performed of a turbulent gas-particle multiphase flow in a circulating fluidized bed riser using a hard-sphere discrete particle model (DPM) for the particle phase and the Navier-Stokes equations for the gas phase, where the subgrid scale stresses (SGS) were modeled with the SGS model proposed by Vreman. The model enables the simulation of systems with an arbitrary pa...

We study shock wave formation and propagation in an experimental vertically driven quasi-two-dimensional granular gas. We measure the moments of the single particle velocity distribution as a function of space and time. The space-time fields of the velocity moments show acoustic waves with a serrated substructure on the scale of a particle diameter. We show that this substructure is the result ...

In this paper we numerically investigate the influence of dissipation during particle collisions in an homogeneous turbulent velocity field by coupling a discrete element method to a lattice-Boltzmann simulation with spectral forcing. We show that even at moderate particle volume fractions the influence of dissipative collisions is important. We also investigate the transition from a regime whe...

A real-time, continuous optical particle separation method, termed cross-type optical particle separation, is investigated theoretically and experimentally. The trajectory of a particle subject to cross-type optical particle separation is predicted by solving the particle dynamic equation and compared with experimental data. For various flow velocities and particle sizes, the retention distance...

The motion of a spherical particle in infinite linear flow and near a plane wall, subject to the slip boundary condition on both the particle surface and the wall, is studied in the limit of zero Reynolds number. In the case of infinite flow, an exact solution is derived using the singularity representation, and analytical expressions for the force, torque, and stresslet are derived in terms of...

Introduction Intracardiac flow patterns can be visualized by particle traces obtained from three-dimensional phase contrast MRI. Good results have been shown for stationary [1] and time-resolved data [2]. New off-line retrospective gated 3D phase contrast techniques, providing high resolution time-resolved 3D velocity data, have improved the accuracy of the calculated particle traces [3]. While...

Fundamental spatiotemporal field properties and particle velocity waveform signatures of subRayleigh and supershear ruptures were experimentally investigated through a series of laboratory earthquake experiments. We appeal to dynamic rupture theory to extract and highlight previously unnoticed aspects and results, which are of direct relevance to our new experiments. Kinematic relationships der...