The development of a parallel adaptive mesh refinement (AMR) scheme is described for solving the governing equations for multi-phase (gas-particle) core flows in solid propellant rocket motors (SRM). An Eulerian formulation is used for both the gas and particle phases, which leads to a degenerate hyperbolic system of partial differential equations. The cause and effect of the degeneracy is exam...

In this paper, we review recent experimental studies on single-phase and multiphase flows in microchannels. Brief overviews of physical phenomena of fluid flow in microchannels, and measurement techniques mainly in conjunction with the flow visualization, are given. Regarding the studies of single-phase flows, the current state-of-the-art of electrokinetics and optofluidics is outlined. Then th...

the inventory routing problem (irp) arises in the context of vendor-managed systems. this problem addresses jointly solving an inventory management problem and a vehicle routing problem. in this paper, we consider a multi-depot multi-vehicle inventory routing problem in which suppliers produce one type of product to be delivered to customers during a finite time horizon. we propose a two-phase ...

In this paper, we first make the observation that it is possible for a network to well support multi-services by utilizing the diverse user requirements and the Internet traffic characteristics. Motivated by this observation, we propose a harmonious priority-based multi-services support scheme (HARP) to treat flows using different criteria based on their service requirements. HARP uses a Discre...

We examine observational characteristics of multi-phase turbulent flows in the diffuse interstellar medium (ISM) using a synthetic radiation field of atomic and molecular lines. We consider the multi-phase ISM which is formed by thermal instability under the irradiation of UV photons with moderate visual extinction AV ∼ 1. Radiation field maps of C, C, and CO line emissions were generated by ca...

The lattice Boltzmann equation (LBE) method is a promising technique for simulating fluid flows and modeling complex physics in fluids, and can be modified for solving general nonlinear partial differential equations (NPDEs). The LBE method has recently attracted more and more attention since it may help us to better understand the mechanisms of the complicated physical phenomena and dynamic pr...

A numerical scheme to simulate three-phase fluid flows with phase change is proposed. By combining the Cahn-Hilliard model for water-air interface, Allen-Cahn equation ice and Navier-Stokes momentum, we solve evolution of interface water-ice simultaneously, including volume expansion associated solidification due density difference between water ice. Unlike existing schemes assuming a divergenc...

Using two-dimensional simulations, we numerically explore the dependences of Kelvin–Helmholtz (KH) instability upon various physical parameters, including viscosity, the width of the sheared layer, flow speed, and magnetic field strength. In most cases, a multi-vortex phase exists between the initial growth phase and the final single-vortex phase. The parametric study shows that the evolutionar...