These notes supplement Robert Kohn’s Lecture 3 at the 2014 PCMI Graduate Summer School. For background and heuristic arguments, see the pdf of that lecture. For physicsoriented discussions of this topic see [4] and [3]. For upper and lower energy bounds similar to those presented here but using nonlinear elasticity and a rather general membrane model see [1]. We want to study deformations of a ...

Submitted for the DPP09 Meeting of The American Physical Society Self-Similar Decay of Enstrophy in an Electron Plasma DOUGLAS RODGERS, SERGIO SERVIDIO, WILLIAM MATTHAEUS, TRAVIS MITCHELL, Department of Physics and Astronomy, University of Delaware, Newark, DE 19716 — The similarity solution for energy decay in 3D hydrodynamic turbulence, due to Taylor and von Karman [1], based on the self pres...

A Karman vortex is a phenomenon of fluid flow that can cause fluctuation and vibration. As result, it leads to fatigue damage structures induces safety accidents. Therefore, the analysis shedding law strength significant. To further understand laws turbulent strength, this study conducts numerical vorticity simulation at trailing edge hydrofoil based on two-dimensional simplified model NACA0009...

Extensive experimental investigation of the wetting processes of fibre-liquid systems during air filtration (when drag and gravitational forces are acting) has shown many important features, including droplet extension, oscillatory motion, and detachment of drops from fibres as airflow velocity increases, and also movement or flow of droplets along fibres. A detailed experimental study of the p...

A numerical investigation is presented into the relation between finite sized, inertial particle transport and entrainment in the vortex-dominated wake of a square cylinder placed in a channel at two blockage ratios and Lagrangian Coherent Structures (LCS) identified with recent Lagrangian visualization techniques. The square cylinder flow is computed with the incompressible, viscous flow solve...

In order to decrease the fluid dynamic forces of the U-bent tube with a circular section and avoid the occurrence of fluid-structure interaction problems, three-dimensional simulations of fluid flows around the tubes are carried out. In the case that the axis of the curved tube with the circular section is prevented from being normal to the direction of the flows approaching the tube, the forma...

In this thesis, a new method for calculating the electronic structure of polymer molecules is developed. The polymer is assumed to be quasiinfinite, fully extended, rigid, and translationally symmetric, and Born-von Karman cyclic boundary conditions are applied. The molecular orbitals are expanded in terms of Bloch functions formed from linear combinations of atomic orbitals. The Hartree-Fock e...

The problem of large deflections of thin flat plates is mderived here using a novel integral equation approach. These plate deformations arc governed by the von Karman plate theory. The numerical solution that is implemented combines both boundary and interior elements in the discretization of the continuum. The formulation also illustrates the adaptability of the boundary element technique to ...

The Colorado State University standard mesoscale model is used to evaluate the sensitivity of one-dimensional (1D) and two-dimensional (2D) fields to differences in surface-layer parameterization “constants”. Such differences reflect the range in the published values of the von Karman constant, Monin-Obukhov stability functions and the temperature roughness length at the surface. The sensitivit...