Particles traveling through inertial microfluidic devices migrate to focusing streamlines. We present a numerical method that calculates migration velocities of particles in channels arbitrary cross section by representing singularities. Refinements asymptotic analysis are given improve the regularity singularity approximation, making finite element approximations flow and pressure fields more ...

Abstract The scale-free gravothermal fluid formalism has long proved effective in describing the evolution of self-interacting dark matter halos with a constant particle cross section. However, whether solutions match numerical simulations for velocity-dependent cross-section scenarios remains untested. In this work, we provide fast mapping method that relates constant-cross-section solution to...

In refs. [1, 2] it was demonstrated that the total cross section of the scattering of two light particles (zero modes of the Kaluza-Klein tower) in the six-dimensional λφ 4 model differs significantly from the cross section of the same process in the conventional λφ 4 theory in four space-time dimensions even for the energies below the threshold of the first heavy particle. Here the analytical ...

We introduce a novel analytic model formulation for recovering cylindrical structures (e.g., blood vessels) from segmented 3-D medical image data. Unlike all previous formulations, our model is capable of describing a cylinder with an arbitrary spine (a space curve based on cubic B-splines) and arbitrary cross section which is guaranteed to be orthogonal to the spine. Given this expressiveness,...

The energy of a perfectly conducting rectangular cavity is studied by making use of pistons’ interactions. The exact solution for a 3D perfectly conducting piston with an arbitrary cross section is being discussed.

This paper presents the use of a finite element method (FEM) to analyze shear lag effect due flexure beams with an arbitrary cross-section and homogeneous elastic material. Beams are constrained by most common types supports, such as fixed, pinned, roller. The transverse, concentrated, or distributed loads act on through center cross-section. presented FEM transforms 3D analysis phenomenon into...