This paper outlines a novel approximate solution for determining the pressure drop of laminar, single-phase flow in slowly-varying microchannels of arbitrary cross-section. The proposed analysis is general and applicable to symmetric and asymmetric microchannel cross-sections, as examples compact relationships are reported for elliptical and rectangular shapes for three common wall profiles of ...

We calculate the cross section of the inverse beta decay process, νe + n → p + e, in a background magnetic field which is much smaller than m p /e. Using exact solutions of the Dirac equation in a constant magnetic field, we find the cross section for arbitrary polarization of the initial neutrons. The cross section depends on the direction of the incident neutrino even when the initial neutron...

A method and apparatus for determining the nitrogen and oxygen composition of an arbitrary object in a non-evasive manner is presented. The object of interest is irradiated with fast monoenergetic neutron beams and the resulting pulse height spectra of scattered neutrons are measured using a SP2 spherical counter and unfolded to calculate the cross section of the object. The cross section is th...

In this research effort, the generalized warping and distortional problem of straight or horizontally curved composite beams of arbitrary cross section, loading and boundary conditions is presented. An inclined plane of curvature is considered. Additionally, the stiffness of diaphragmatic plates has been introduced in the formulation in order to compare with the case where rigid diaphragms are ...

LetG be a connected semisimple algebraic group over an algebraically closed field k. In 1965 Steinberg proved that if G is simply connected, then in G there exists a closed irreducible cross-section of the set of closures of regular conjugacy classes. We prove that in arbitrary G such a cross-section exists if and only if the universal covering isogeny τ : b G → G is bijective. In particular, f...

We propose a finite volume scheme for computing two-fluid flows in variable cross-section ducts. Our scheme satisfies a well-balanced property. It is based on the VFRoe approach. The VFRoe variables are the Riemann invariants of the stationnary wave and the cross-section. In order to avoid spurious pressure oscillations, the well-balanced approach is coupled with an ALE (Arbitrary Lagrangian Eu...

the vector, axial-vector, scalar and pseudo-scalar vertices involving a pair of heavy quarks, QQ̄, were calculated. The results are valid for arbitrary momentum transfer and mass of the heavy quarks. These form factors have a number of applications, including anomalous couplings, the e+e− → QQ̄ cross section, and the forward-backward asymmetry of heavy quarks. Here the QQ̄ threshold cross section ...