A model with its conductivity varying highly across a very thin layer will be considered. It is related to a stable phantom model, which is invented to generate a certain apparent conductivity inside a region surrounded by a thin cylinder with holes. The thin cylinder is an insulator and both inside and outside the thin cylinderare filled with the same saline. The injected current can enter onl...

We analyze recent experiments that show that a cylinder can be suspended in a stable position by placing it on a vertically moving belt that is covered by a thin layer of very viscous oil. The weight of the cylinder is supported by viscous forces in the fluid layer, and the cylinder rotates with respect to its axis in the direction of the belt motion. We propose a simple model for stable suspen...

We study a nonlinear, unsteady, moving boundary, fluid–structure interaction (FSI) problem in which the structure is composed of two layers: a thick layer, and a thin layer which serves as a fluid–structure interface with mass. The fluid flow, which is driven by the time-dependent dynamic pressure data, is modeled by the Navier–Stokes equations for an incompressible, viscous fluid, defined on a...

Let A be a non empty set, let B be a set, let B1 be a set, and let y1 be a function from B1 into A. Let us assume that B1 ⊆ B. The functor cylinder0(A,B,B1, y1) yields a non empty subset of A B and is defined by: (Def. 1) cylinder0(A,B,B1, y1) = {y : B → A: y B1 = y1}. Let A be a non empty set and let B be a set. A non empty subset of AB is said to be a thin cylinder of A and B if: (Def. 2) The...

6 In this paper, theoretical study is carried out to investigate the general 3D short-crested 7 wave interaction with a concentric two-cylinder system. The interior cylinder is imperme8 able and the exterior cylinder is thin in thickness and porous to protect the interior cylinder. 9 Both cylinders are surface-piercing and bottom mounted. Analytical solution is derived 10 based on the linear po...

Machining of thin-walled components has increasingly become a difficulty for manufacturers. Advanced digital analyses have been developed by many researchers to model, predict and reduce errors induced by machining processes. Fixtures for thin-walled components to increase the rigidity of components, improve dynamic performance and reduce machining cost have been widely used in industries. Howe...

Two different approaches have been used to calculate turbulent flow along a long thin cylinder where the flow is aligned with the cylinder. A boundary-layer code is used to predict the mean flow for very long cylinders (length to radius ratio of up to O(10)), with the effects of the turbulence estimated through a turbulence model. Detailed comparison with experimental results shows that the mea...

The self-assembly of sphere-forming triblock copolymers confined between two thin homogeneous surfaces is investigated based on mean-field dynamic density functional theory. The morphologies deviating from the bulk sphere-forming phase are revealed, including cylinders oriented perpendicular to the surface, cylinders oriented parallel to the surface, perforated lamellae and lamellae by varying ...

We consider the flow of two immiscible fluids lying between concentric cylinders when the outer cylinder is fixed and the inner one rotates. The interface is assumed to be concentric with the cylinders, and gravitational effects are neglected. We present a numerical study of the effect of different viscosities, different densities and surface tension on the linear stability of the Couette flow....