Study on Performance of Laminar Taylor-Couette Flow with Different Developed Procedures

Abstract

The performance of laminar Taylor-Couette flow with different developed procedures is studied by the way of computational fluid dynamics (CFD) in steady state. In order to gain a group of developed procedure in CFD, a set of convergent solutions are used as the initial value of next boundary condition, and the new set of convergent solutions are regarded as developing from the previous steady state. Three groups of developed procedures are gained from the rotating speed series of inner cylinder, respectively from the gradual increase procedure (GIP), the gradual decrease procedure (GDP) and the sudden increase procedure (SIP). It is proved that the convergent solutions of fluid control equations are different when they are solved from laminar state with the same boundary condition, the same fluid property, the same mesh grid in CFD and the same business software except that the flow states have developed from the procedures of GDP, GIP and SIP. It is shown that the developed procedure could leave behind some information in the performance of the flow. In other words, the flow between concentric rotating cylinders has somewhat memory for the procedure of its history

An arbitrary order and pointwise divergence-free finite element scheme for the incompressible 3D Navier-Stokes equations

“…Since we start our iteration from a fluid at rest, we may simply view it as a sharp increase of the speed of the boundary (in less than a timestep). Numerical studies ( [7]) show that we obtain a different steady state whether we start from a fluid at rest and increase sharply the speed, increase gradualy (at each step) the speed or start from a faster moving state and gradualy decrease the speed. A single, non-linear step may not differentiate between them.…”