This paper describes the design and setup of a high-throughput Raman system for an array of eight parallel catalytic reactors during reaction conditions. The "operando" methodology combines in situ spectroscopy during catalytic reaction with a simultaneous activity measurement. The high-throughput operando Raman system, multi-operando, is a device that automates this operando methodology for several catalyst samples at the same time, all samples being in the same reaction conditions. We describe how the system is made, how Raman system positions and acquires spectra, and how each reactor outlet gas is selected and analyzed.

This paper exposes how to obtain a relation that have to be hold for all free-divergence velocity fields that evolve according to Navier-Stokes equations. However, checking the violation of this relation requires a huge computational effort. To circumvent this problem it is proposed an additional ansatz to free-divergence Navier-Stokes fields. This makes available six degrees of freedom which can be tuned. When they are tuned adequately, it is possible to find finite L 2 norms of the velocity field for volumes of  3 and for Î ¥. In particular, the kinetic energy of the system is bounded when the field components u i are class C 3 functions on ´¥ [ ) t , 3 0 that hold Dirichlet boundary conditions. This additional relation lets us conclude that Navier-Stokes equations with no-slip boundary conditions have not unique solution. Moreover, under a given external force the kinetic energy can be computed exactly as a funtion of time.