A version of the discrete-ordinates method is used to solve, for the case of flow in a cylindrical tube, the classical Poiseuille and thermal-creep problems based on the Bhatnagar, Gross, and Krook model in the theory of rarefied-gas dynamics. In addition to the development of a discrete-ordinates solution that is valid for a wide range of the Knudsen number, the solution is evaluated numerical...

This paper presents a novel 3D tube scanning technique based on a multi-laser triangulation. A multi-laser and camera module, which will be mounted in front of a mobile robot, captures a sequence of 360 degree shapes of the inner surface of a cylindrical tube. In each scan of the sequence, a circular shape, which is composed of four partial ellipses, is reconstructed from a multi-laser triangul...

We study the flux tube junctions in the limit of large magnetic flux. In this limit the flux tube becomes a wall vortex which is a wall of negligible thickness (compared to the radius of the tube) compactified on a cylinder and stabilized by the flux inside. This wall surface can also assume different shapes that correspond to soliton junctions. We can have a flux tube that ends on a wall, a fl...

The goal of this work is to understand adsorption-induced deformation of hierarchically structured porous silica exhibiting well-defined cylindrical mesopores. For this purpose, we performed an in situ dilatometry measurement on a calcined and sintered monolithic silica sample during the adsorption of N2 at 77 K. To analyze the experimental data, we extended the adsorption stress model to accou...

In this paper, we consider bifurcation from a circular cylindrical deformed configuration of a thick-walled circular cylindrical tube of incompressible isotropic elastic material subject to combined axial loading and external pressure. In particular, we examine both axisymmetric and asymmetric modes of bifurcation. The analysis is based on the three-dimensional incremental equilibrium equations...

Abstract In this study, we explore the possibility of simplifying modeling magnetohydrodynamic slow body modes observed in photospheric magnetic structures such as umbrae sunspots and pores. The approach assumes that variation eigenvalues waves can be derived by imposing longitudinal component velocity with respect to tube axis is zero at boundary flux tube, which good agreement observations. T...

Figure 3: Spiral-In and Spiral-Out raw images in a human brain (24cm x 24cm, a-c) and cylindrical phantom placed perpendicular to B0 (6cm x 6cm, d-f). The various TEs are a) Spiral-Out 18ms, b) Spiral-In 30ms, c) Spiral-In 42ms, d) Spiral-Out 7.4ms, e) SpiralIn 30ms and f) Spiral-In 52.6ms. Figure 1: R2* map of cylindrical phantom filled with tubes containing materials with varying R2* (arrow i...

Coupled vibration of a radially polarized piezoelectric cylindrical transducer is analyzed with the mechanical coupling coefficient method. The method has been utilized to analyze the metal cylindrical transducer and the axially polarized piezoelectric cylindrical transducer. In this method, the mechanical coupling coefficient is introduced and defined as the stress ratio in different direction...