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Kang, Kai.

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Experimental and numerical study of fluid mixing in a lid-driven cavity flow model and its application to micro-channels.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Experimental and numerical study of fluid mixing in a lid-driven cavity flow model and its application to micro-channels./
Author:	Kang, Kai.
Description:	176 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0990.
Contained By:	Dissertation Abstracts International65-02B.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3120670
ISBN:	0496680250

Experimental and numerical study of fluid mixing in a lid-driven cavity flow model and its application to micro-channels.
Kang, Kai.

Experimental and numerical study of fluid mixing in a lid-driven cavity flow model and its application to micro-channels. - 176 p.

Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0990.

Thesis (Ph.D.)--Columbia University, 2004.

The purpose of this thesis research is to investigate better means to introduce chaotic advection into a system design, which would allow for rapid mixing of immiscible fluids. The lid-driven cavity flow is selected because it is one of the most widely studied fluid mechanics problems, both numerically and experimentally; and there are many references available for comparison and validation. For a square cavity at low Reynolds number, Re = 100, numerical particle tracking results suggest that the flow is essentially three-dimensional. In the Poincare section, closed orbits have been identified as smaller islands with higher-order periodic points that have not been reported before. For steady state flows at low Reynolds numbers, mixing is poor; and protocols with periodic functions for the lid, e.g. Sine or square waveform, are designed to generate time-dependent flows. The periodic lid-driven flow is studied by flow visualization experiments, for which the flow is obtained by using a roller-belt system as the moving lid. In general, it is observed that the 3D effects enhance mixing in the cavity, which leaves the symmetric plane as the worst possible location for fluid mixing. Quantification of flow visualization results on periodic lid-driven flows indicates the existence of an optimum frequency for the driving function (square waveform). Of the several driving frequencies studied, a better frequency is identified, and when expressed as the product of Reynolds number and Strouhal number, agrees well with what have been reported in other studies on two-dimensional cavity flows. The findings from the experiments, namely, the existence of an optimal external driving frequency, have been applied to analyse the flow in a microchannel of simple geometry, for which previous studies were not able to show good mixing. A novel numerical approach is developed for simulation of cross-stream mixing at micro-scales. This is demonstrated through a comparative case study on the electro-osmotic driven microchannel with a periodic straight stripe pattern. The geometric factors are characterized and a better configuration is obtained. It is further verified that the channel length increases logarithmically with the flow Peclet number, as has been reported in the latest experiment. This finding indicates chaotic mixing in the microchannel and demonstrates the validity of the developed numerical algorithm.

ISBN: 0496680250Subjects--Topical Terms:

783786
Engineering, Mechanical.

Experimental and numerical study of fluid mixing in a lid-driven cavity flow model and its application to micro-channels.
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100 1 $a Kang, Kai. $3 1910155
245 1 0 $a Experimental and numerical study of fluid mixing in a lid-driven cavity flow model and its application to micro-channels.
300 $a 176 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0990.
500 $a Adviser: Rene Chevray.
502 $a Thesis (Ph.D.)--Columbia University, 2004.
520 $a The purpose of this thesis research is to investigate better means to introduce chaotic advection into a system design, which would allow for rapid mixing of immiscible fluids. The lid-driven cavity flow is selected because it is one of the most widely studied fluid mechanics problems, both numerically and experimentally; and there are many references available for comparison and validation. For a square cavity at low Reynolds number, Re = 100, numerical particle tracking results suggest that the flow is essentially three-dimensional. In the Poincare section, closed orbits have been identified as smaller islands with higher-order periodic points that have not been reported before. For steady state flows at low Reynolds numbers, mixing is poor; and protocols with periodic functions for the lid, e.g. Sine or square waveform, are designed to generate time-dependent flows. The periodic lid-driven flow is studied by flow visualization experiments, for which the flow is obtained by using a roller-belt system as the moving lid. In general, it is observed that the 3D effects enhance mixing in the cavity, which leaves the symmetric plane as the worst possible location for fluid mixing. Quantification of flow visualization results on periodic lid-driven flows indicates the existence of an optimum frequency for the driving function (square waveform). Of the several driving frequencies studied, a better frequency is identified, and when expressed as the product of Reynolds number and Strouhal number, agrees well with what have been reported in other studies on two-dimensional cavity flows. The findings from the experiments, namely, the existence of an optimal external driving frequency, have been applied to analyse the flow in a microchannel of simple geometry, for which previous studies were not able to show good mixing. A novel numerical approach is developed for simulation of cross-stream mixing at micro-scales. This is demonstrated through a comparative case study on the electro-osmotic driven microchannel with a periodic straight stripe pattern. The geometric factors are characterized and a better configuration is obtained. It is further verified that the channel length increases logarithmically with the flow Peclet number, as has been reported in the latest experiment. This finding indicates chaotic mixing in the microchannel and demonstrates the validity of the developed numerical algorithm.
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