Walls in supersymmetric massive nonlinear sigma model on complex quadric surface

The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in a massive Kahler nonlinear sigma model on the complex quadric surface, Q^N=SO(N+2)/[SO(N)\times SO(2)] in 3-dimensional space-time. The theory has a non-trivial scalar potential generated by the Scherk-Schwarz dimensional reduction from the massless nonlinear sigma model on Q^N in 4-dimensional space-time and it gives rise to 2[N/2+1] discrete vacua. The BPS wall solutions connecting these vacua are obtained based on the moduli matrix approach. It is also shown that the moduli space of the BPS wall solutions is the complex quadric surface Q^N.Comment: 42 pages, 30 figures, typos corrected, version to appear in PR

Solutions of Navier-Stokes Equation with Coriolis Force

We investigate the Navier-Stokes equation in the presence of Coriolis force in this article. First, the vortex equation with the Coriolis effect is discussed. It turns out that the vorticity can be generated due to a rotation coming from the Coriolis effect, Omega. In both steady state and two-dimensional flow, the vorticity vector omega gets shifted by the amount of -2 Omega. Second, we consider the specific expression of the velocity vector of the Navier-Stokes equation in two dimensions. For the two-dimensional potential flow (v) over right arrow = (del) over right arrow phi the equation satisfied by phi is independent of Omega. The remaining Navier-Stokes equation reduces to the nonlinear partial differential equations with respect to the velocity and the corresponding exact solution is obtained. Finally, the steady convective diffusion equation is considered for the concentration c and can be solved with the help of Navier-Stokes equation for two-dimensional potential flow. The convective diffusion equation can be solved in three dimensions with a simple choice of c

Utilization of CO2 arising from methane steam reforming reaction: Use of CO2 membrane and heterotic reactors

The new reactor design concepts of reforming are proposed as a way of utilization of carbon dioxide (CO2) produced in the methane (CH4) steam reforming: (a) by applying CO2 separation membrane filled with catalysts for dry reforming (mainly discussed), connected MSR and MDR (b) axially and (c) concentrically. The membrane selects CO2 produced in ordinary steam methane reforming and consumed as a reactant for dry reforming inside membrane. This carbon dioxide separation membrane in the reactor of the methane steam reforming is reported recently. Permeated CO2 reacts with methane to produce syngas, hydrogen and carbon monoxide (i.e., dry reforming). Based on the numerical modeling for heat and mass transfer the conversion of methane and carbon dioxide is also considered. In that the conversion of methane is quite low compared to other previous studies, further study is necessary to find a way to improve them. Finally, we briefly suggest two other reactor types consisting of MSR and MDR connected in a series and concentric way (reaction occurs in axial and radial direction, respectively). (C) 2020 The Korean Society of Industrial and Engineering Chemistry. Published by Elsevier B.V. All rights reserved