Mixing Calculations in a Rotating Partitioned Pipe

We consider laminar mixing in a steady incompressible Newtonian fluid. Through the use of particle tracking methods and analogous techniques applicable to material element vectors on a given velocity field, residence time distributions, Poincare maps and material element deformations are computed; all of which are useful tools in determining the efficacy of a mixing system. We analyse the accuracy of using solenoidal flux-interpolating splines to represent the underlying velocity field as a basis for determining mixing efficiencies. As a test case we use a rotating partitioned pipe mixer for which an approximate Stokes velocity field is available. The Stokes representation provides us with a benchmark with which to assess the accuracy of the spline interpolants

Particle tracking methods for residence time calculations in incompressible flow

Numerical methods are presented for the calculation of residence time distributions in steady incompressible fluid flow using a given set of normal fluid fluxes, defined across the cell faces of a cartesian tensor product mesh. A particle tracking approach is adopted involving the construction of a piecewise polynomial representation of the velocity distribution, and subsequent integration of this representation for the determination of individual particle trajectories

Multiple knot B-spline representation of incompressible flow

An efficient B-spline method for the construction of a piecewise polynomial velocity representation from a given set of normal fluid fluxes is described for steady incompressible flow in three dimensional rectangular regions. The fluxes should be defined across the face-centres of a cartesian tensor product mesh. The proposed spline representation interpolates the given fluxes exactly and also enables the normal fluid velocity to be set identically to zero across or around the surfaces of an arbitrary number of rectangular regions lying in specified planes

Revivals of quantum wave-packets in graphene

We investigate the propagation of wave-packets on graphene in a perpendicular magnetic field and the appearance of collapses and revivals in the time-evolution of an initially localised wave-packet. The wave-packet evolution in graphene differs drastically from the one in an electron gas and shows a rich revival structure similar to the dynamics of highly excited Rydberg states. We present a novel numerical wave-packet propagation scheme in order to solve the effective single-particle Dirac-Hamiltonian of graphene and show how the collapse and revival dynamics is affected by the presence of disorder. Our effective numerical method is of general interest for the solution of the Dirac equation in the presence of potentials and magnetic fields.Comment: 22 pages, 10 figures, 3 movies, to appear in New Journal of Physic

Applications of graphics to support a testbed for autonomous space vehicle operations

Researchers describe their experience using graphics tools and utilities while building an application, AUTOPS, that uses a graphical Machintosh (TM)-like interface for the input and display of data, and animation graphics to enhance the presentation of results of autonomous space vehicle operations simulations. AUTOPS is a test bed for evaluating decisions for intelligent control systems for autonomous vehicles. Decisions made by an intelligent control system, e.g., a revised mission plan, might be displayed to the user in textual format or he can witness the effects of those decisions via out of window graphics animations. Although a textual description conveys essentials, a graphics animation conveys the replanning results in a more convincing way. Similarily, iconic and menu-driven screen interfaces provide the user with more meaningful options and displays. Presented here are experiences with the SunView and TAE Plus graphics tools used for interface design, and the Johnson Space Center Interactive Graphics Laboratory animation graphics tools used for generating out out of the window graphics

Homeless population

The aim was to derive and analyze a model for numbers of homeless and non-homeless people in a borough, in particular to see how these figures might be affected by different policies regarding housing various categories of people. Most attention was focused on steady populations although the stability of these and possible timescales of dynamic problems were also discussed. The main outcome of this brief study is the identification of the key role played by the constant k_1 - the constant which fixes the speed at which the homeless are rehoused in permanent council property. Reducing this constant, i.e. making the system "fairer" with less priority to accommodating homeless families, appears to have little effect on the sizes of other categories on the waiting list but there is a marked increase in the number of households in temporary accommodation. The model, indicated by the size of its longest time-scale, should be modified to allow for births etc. It could be varied by allowing people to remove themselves from the register or by allowing the rates at which registered and unregistered people become homeless to differ, but these modifications are unlikely to substantially change the main result. The inclusion of movement from the homeless to the general population would have the effect of limiting the numbers in temporary accommodation. However, it is thought this effect is very small so a great reduction in k_1 would be needed for this flow to become significant

Lattice thermal conductivity of freestanding gallium nitride nanowires

aip Publishers Publications Topics | Librarians Authors Your access is provided by: Eastern Illinois University Register to create your user account, or sign in if you have an existing account Additional sign in Sign in via Shibboleth/Athens My cart Export citations Add to my favorites Recommend to library Subscribe to email alerts Submit an article Reprints & Permissions Subscribe to RSS Access Key Free Content Open Access Content Subscribed Content Free Trial Content Home \u3e Publishers \u3e AIP Publishing \u3e Journal of Applied Physics \u3e Volume 108, Issue 3 \u3e Article banner image F Lattice thermal conductivity of freestanding gallium nitride nanowires Download PDF Jie Zou1,a) + View Affiliations a) Electronic mail: [email protected]. J. Appl. Phys. 108, 034324 (2010); http://dx.doi.org/10.1063/1.3463358 Previous Article Table of Contents Next Article Back to Search Results facebook twitter Share this page separator email print this page Abstract Full Text References (28) Cited By (8) Data & Media Metrics Related We report detailed calculations of the lattice thermal conductivity of freestanding gallium nitride(GaN)nanowires with diameters ranging from 20 to 140 nm. Results are compared with experimental data on GaNnanowires grown by thermal chemical vapor deposition(CVD). Calculations are based on the Boltzmann transport equation and take into account the change in the nonequilibrium phonon distribution in the case of diffuse scattering at the surfaces. Phonon dispersion relation is obtained in the elastic continuum approximation for each given nanowire. For valid comparisons with the experimental data, simulations are performed with a dopant concentration and impurity profile characteristic of thermal CVDGaNnanowires. Our results show that the room-temperature thermal conductivity of the nanowires has very low values, ranging from 6.74 W/m K at 20 nm to 16.4 W/m K at 140 nm. The obtained results are in excellent agreement with the experimental data. We have also demonstrated that in addition to impurity scattering, boundary scattering, and phonon confinement, the change in the nonequilibrium phonon distribution leads to a further reduction in the thermal conductivity of the nanowires and has to be taken into account in the calculations. Our conclusion is different from that of an earlier study which attributed the very low thermal conductivity to the unusually large mass-difference scattering in the nanowires