# Rotating Zones: Taylor-Couette Flow

## Overview

The aim of this test case is to validate the following parameters of incompressible laminar couette flow in the annular region of two infinite cylinders (one stationary, one rotating):

- Velocity profile
- Pressure profile

The presence of both stationary and rotating components in the geometry necessitates the need for distinct representative zones. SimScale provides two options to approach this problem: the Multi-Reference Frame (MRF) method and the Arbitrary Mesh Interface (AMI) method. Briefly stated, MRF uses source terms for coriolis and centrifugal forces to model the rotation, while AMI explicitly ‘rotates’ the appropriate mesh, interpolating values at each iteration over the interface between the fixed and rotating zones. AMI is inherently transient, but MRF allows for cheaper and quicker results. Thus, MRF uses the steady-state *simpleFoam* solver in contrast to the *pimpleDyMFoam* solver used by AMI.

The geometry was uploaded on to the SimScale platform, and appropriate meshing techniques used to generate stationary and rotating zones. Simulation results of SimScale were compared to analytical results obtained from methods elucidated in [1].

Import validation project into workspace

## Geometry

The infinite cylinders were modeled as a a slice of their annulus (see Fig.1.). The dimensions are shown in Table 1. The outer cylinder remains stationary, while the inner rotates with an angular velocity of 0.001 rad.s−1

$0.001\text{}rad.{s}^{-1}$
.