We show by means of a perturbative weakly nonlinear analysis that the axisymmetric magnetorotational instability (MRI) of a viscous, resistive, incompressible rotating shear flow subject to a background vertical magnetic field in a thin channel gives rise to a Ginzburg-Landau equation for the disturbance amplitude. For small magnetic Prandtl number (P(m)), the saturation amplitude is proportion...

In the present paper, we report high-fidelity CFD simulation of plume dynamics of a pulse detonation engine (PDE) by using modern parallel computer architecture. The two-dimensional axisymmetric Euler equations for reacting flows are solved by the Space-Time CESE method. A one-step global reaction is employed to model chemical reactions of a propane/air mixture. Computational domain includes th...

A new method of acquiring simultaneously the signal and reference channels used for interferometric planar Doppler velocimetry is proposed and demonstrated. The technique uses frequency division multiplexing (FDM) to facilitate the capture of the requisite images on a single camera, and is suitable for time-averaged flow measurements. Furthermore, the approach has the potential to be expanded t...

A time-accurate 2D axisymmetric Hybrid PIC-MCC model is used to simulate the plasma flow in the acceleration channel and near-field plume of a Hall thruster. The model is applied to the P5 Hall thruster due to known magnetic configuration and the availability of experimental data on the plasma properties in the interior and near-field plume for this thruster. Results for thruster performance an...

A method is developed for computations of interfacial flows in complex geometries. The method combines a fronttracking method with a newly developed finite volume (FV) scheme and utilizes an auxiliary grid for computationally efficient tracking of interfaces in body-fitted curvilinear grids. The tracking algorithm reduces particle tracking in a curvilinear grid to tracking on a uniform Cartesia...

In this article, an approximate analytical solution of flow and heat transfer for a viscoelastic fluid in an axisymmetric channel with porous wall is presented. The solution is obtained through the use of a powerful method known as Optimal Homotopy Asymptotic Method (OHAM). We obtained the approximate analytical solution for dimensionless velocity and temperature for various parameters. The inf...

An eddy-viscosity based, subgrid-scale model for Large Eddy Simulations is derived from the analysis of the singular values of the resolved velocity gradient tensor. It is shown that the proposed σ-model has the property to automatically vanish as soon as the resolved field is two-dimensional, including the pure shear and solid rotation cases. In addition, the model generates no subgrid-scale v...

We examine the bifurcation of a reflected shock in a three-dimensional, square channel through numerical simulations using a distributed memory parallel adaptive mesh refinement, Navier-Stokes solver with multicomponent equation of state and microscopic transport. The three-dimensional, rather than axisymmetric, geometry introduces considerable complexity into the flow structures, particularly ...