Chaotic mixing and transport in wavy Taylor–Couette flow

نویسندگان

  • Alp Akonur
  • Richard M. Lueptow
چکیده

Chaotic transport and mixing in wavy cylindrical Couette flow has been studied in some detail, but previous studies have been limited to the velocity field at transition from Taylor–Couette flow to wavy flow or have used phenomenological, computational, or theoretical models of the flow. Recent particle image velocimetry measurements of wavy vortex flow provide the experimental three-dimensional, three-component velocity field at conditions well above the transition to wavy flow. Using this experimental velocity field, fluid tracer particles were tracked computationally to determine the nature of the mixing. The results show how mixing is enhanced with increasing rotating Reynolds number as a consequence of increased stretching and folding that occurs in meridional, latitudinal, and circumferential surfaces. The axial particle transport increases with the rotating Reynolds number as a consequence of stretching and folding within the vortices and the axial transport between vortices, both related to the waviness of the flow, as well as increased vortex strength. The calculated effective dispersion coefficient is very similar to that found experimentally and computationally confirming that chaotic advection is the mechanism responsible for enhanced mixing in wavy vortex flow. © 2002 Elsevier Science B.V. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hydromagnetic Taylor – Couette flow . Wavy modes . By A . P . WILL

We investigate magnetic Taylor–Couette flow in the presence of an imposed axial magnetic field. First we calculate nonlinear steady axisymmetric solutions and determine how their strength depends on the applied magnetic field. Then we perturb these solutions to find the critical Reynolds numbers for the appearance of wavy modes, and the related wavespeeds, at increasing magnetic field strength....

متن کامل

Spatio-temporal character of non-wavy and wavy Taylor–Couette flow

The stability of supercritical Couette flow has been studied extensively, but few measurements of the velocity field of flow have been made. Particle image velocimetry (PIV) was used to measure the axial and radial velocities in a meridional plane for non-wavy and wavy Taylor–Couette flow in the annulus between a rotating inner cylinder and a fixed outer cylinder with fixed end conditions. The ...

متن کامل

End wall effects on the transitions between Taylor vortices and spiral vortices.

We present numerical simulations as well as experimental results concerning transitions between Taylor vortices and spiral vortices in the Taylor-Couette system with rigid, nonrotating lids at the cylinder ends. These transitions are performed by wavy structures appearing via a secondary bifurcation out of Taylor vortices and spirals, respectively. In the presence of these axial end walls, pure...

متن کامل

The transition to fully 3D chaos in Wavy Taylor Vortex flow

Taylor Vortex Flow (TVF) has only 2 degrees of freedom and the domain is fully foliated by Kolmogorov-Arnold-Moser (KAM) surfaces. Mixing thus only occurs via diffusion. For increasing Re TVF is replaced by wavy vortex flow (WVF) which has 3 degrees of freedom. WVF has the potential to exhibit chaotic advection which greatly enhances mixing. The rapid transition from TVF to WVF with increasing ...

متن کامل

Velocity field for Taylor–Couette flow with an axial flow

The flow in the gap between an inner rotating cylinder concentric with an outer stationary cylinder with an imposed pressure-driven axial flow was studied experimentally using particle image velocimetry ~PIV! in a meridional plane of the annulus. The radius ratio was h50.83 and the aspect ratio was G547. Velocity vector fields for nonwavy toroidal and helical vortices show the axial flow windin...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002