The induced electric field E(x) during magnetic flux entry in superconductors with arbitrary cross section Ω and general critical current law, has been evaluated by integration along the vortex penetration paths. Nontrivial flux motion streamlines are obtained from a variational statement of the critical state, which takes the form of an optimization problem on the finite element dis-cretizatio...

We extend the differential theory to anisotropic cylindrical structures with an arbitrary cross section. Two cases have to be distinguished. When the anisotropic cylinders do not contain the origin, the scattering matrix of the device is calculated from the extended differential theory with the help of the scattering matrix propagation algorithm. The fields outside the cylinders are described b...

2014 We propose a theory to calculate the pressure gradient and the liquid fraction in two-phase gasliquid fully developed stratified flow in a cylindrical duct of arbitrary cross-section and slope and its application to near horizontal ducts. Its validity is limited to Reynolds numbers high enough to ensure turbulent flow in both phases. Droplet entrainment or bubble inclusion have not been ta...

The theoretical and experimental study of the neoclassical ion transport in edge tokamak plasmas are nowadays of renewed interest. 4 In particular, these studies are important in the so-called H-regimes in large toroidal facilities, characterized by sharp gradients in the radial pro les of macroscopic plasma quantities in the region of the transport barriers. Plasmas of small tokamaks, which pl...

As observed in the design of antenna reflectors and rocket bodies, both flat and 3Dshaped honeycomb cores are used in the field of aerospace engineering. This study illustrates a new strategy to fabricate arbitrary cross-section honeycombs with applications of advanced composite materials by using the concept of the kirigami honeycomb, which is made from single flat sheets and has periodical sl...

Critical long surface waves forced by locally distributed external pressure applied on the freesurface in channels of arbitrary cross section are studied in this paper. The fluid under consideration isinviscid and has constant density. The upstream flow is uniform and the upstream velocity is assumedto be near critical, i.e., uo = u c + e2 + 0(e2), where 0 < e ~ 1 and u c is...

Electromagnetic wave propagation in confined environments, such as mine, road or railway tunnels, has inadmissible quality due to multi-path and high scattering effects of receivable signals. The ever-increasing work difficulties and the large demand for systems operating in these scenarios, requires more and more innovative wireless systems to guarantee a reliable communication. From the radia...

A Semi-Analytical Finite Element (SAFE) method is developed to model accurately the propagation velocity and leakage of guided waves along an immersed waveguide with arbitrary non-circular cross-section. Thus an accurate inverse model is provided to measure the density of the fluid by measuring the change of the torsional wave speed. Experimental results obtained with a rectangular bar in a ran...

A numerical technique is developed for the analysis of dissipative silencers of arbitrary, but axially uniform, cross section. Mean gas flow is included in a central airway that is separated from a bulk reacting porous material by a concentric perforate screen. The analysis begins by employing the finite element method to extract the eigenvalues and associated eigenvectors for a silencer of inf...

It is proved that (a) the solutions of the ideal magnetohydrodynamic equation, which describe the equlibrium states of a cylindrical plasma with purely poloidal flow and arbitrary cross sectional shape [G. N. Throumoulopoulos and G. Pantis, Plasma Phys. and Contr. Fusion 38, 1817 (1996)] are also valid for incompressible equlibrium flows with the axial velocity component being a free surface qu...