Zero Flux Eigenvalues (ZFE’s) of Tight Aspect Ratio Tokamaks

Constant-flux discrete heating in a unit aspect-ratio annulus

Natural convection in an annulus with a discrete heat source on the inner cylinder is studied numerically. The outer cylinder is isothermally cooled at a fixed low temperature, and the top wall, the bottom wall and unheated portions of the inner cylinder are thermally insulated. For low applied heat flux through the heater, as measured non-dimensionally by a Grashof number, Gr , the flow in the...

Tight Estimates for Eigenvalues of Regular Graphs

Tight estimates for eigenvalues of regular graphs

It is shown that if a d-regular graph contains s vertices so that the distance between any pair is at least 4k, then its adjacency matrix has at least s eigenvalues which are at least 2 √ d − 1 cos( π 2k ). A similar result has been proved by Friedman using more sophisticated tools.

Study of Aspect Ratio Effect on Mechanical Properties Polymer/NanoComposite

Carbon nanotubes (CNTs) demonstrate unusually high stiffness, strength and resilience, and are therefore an ideal reinforcing material for nanocomposites. However, much work has to be done before the potentials of CNT-based composites can be fully realized.  Evaluating the effective material properties of such nanoscale materials is a very difficult tasks.  Simulations using molecular dynamics ...

First results from the small tight aspect ratio tokamak multifrequency pulse radar reflectometer

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