臺灣博碩士論文加值系統

本研究中，我們以實驗和理論方法來進行無閥式阻抗幫浦的
特性研究。實驗部份，無閥式阻抗幫浦是由一組機電壓縮機構、一
對彈性軟管和硬管與兩個觀察用儲水管所組成。彈性的乳膠軟管連
接塑膠硬管構成不對稱的阻抗，並分別在流道的兩端膠合上垂直的
壓克力儲水管以利觀察，透過機電壓縮機構於軟管不同位置上以一
定壓縮行程、波型與頻率壓縮軟管外壁，在流體的傳遞波與反射波
的交互作用下，產生壓力差來驅動流體。根據實驗的結果顯示，流
體的流動方向是可逆的，並且壓力差大小與頻率、壓縮行程和波形
息息相關。由實驗的結果顯示，當軟管長度為50mm、內徑為6mm、
頻率為42 赫茲時，最大流率可達2.45 l min1。量測結果顯示流率對
壓縮頻率呈現非線性的複雜反應。
在理論方面的研究，我們以非穩態、一維Euler 方程式，配合
適合的邊界條件來建立一個平面的模擬系統，並與實驗結果作一比
較。分析結果顯示，理論所模擬的流率與驅動頻率的關係與實驗量
測趨勢相近。

In this work, we have conducted the experimental and theoretical
investigations of characteristics of a valveless impedance pump. The
valveless impedance pump was constructed of an electric-mechanical
compression mechanism, an elastic tube, a rigid tube and two reservoirs.
The elastic tube of latex rubber was connected to the rigid plastic tube
and formed asymmetry impedance. The two tubes were glued to two
acrylic reservoirs, respectively. Through cumulative effects of wave
propagation and reflection originating from a compression
electric-mechanical mechanism located at the different position along
the length of the elastic tube, a pressure across the pump can be built up
to drive the flow. The experimental results show the flow is reversible
and the pressure heads are highly dependent on the frequency, amplitude
wave form and location of compression. Maximum flow rate of 2.45
l min1 at 42 Hz has been achieved with an elastic tube 50mm in length
and 6mm in inner diameter. Measurements show a complex non-linear
behavior in response to the compression frequency.
In the theoretical work, we have modeled such a system as a flat
tube with unsteady and one-dimensional flow, Euler’s equation with
appropriate boundary conditions. Analytic solutions calculated were
compared with experimental flow rates. Similar responses of flow rates
to actuating frequencies were observed.

Cover
Credential
Authorization letters ..............................................................................iv
Abstract(Chinese)..................................................................................vi
Abstract(English)................................................................................ viii
Acknowledgments .................................................................................ix
Table of contents ....................................................................................x
List of Figures ......................................................................................xii
List of Table ........................................................................................xvi
List of symbols ...................................................................................xvii
Chapter 1 Introduction........................................................................... 1
1.1 Pumping Classification................................................................. 1
1.1.1 Dynamic Pumps.................................................................. 2
1.1.2 Displacement Pumps .......................................................... 3
1.1.3 Impedance Pump ................................................................ 4
1.2 Literature of Survey...................................................................... 6
1.3. Research Objective.................................................................... 12
Chapter 2 Experimental setup.............................................................. 14
2.1 Description of Experiments........................................................ 15
2.2 Tubing Materials ........................................................................ 16
2.3 Actuation .................................................................................... 18
2.3.1 Electric-Mechanical Compression Mechanism................ 18
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2.3.2 Calculation of Duty Cycle ................................................ 20
2.4 Valveless Impedance Pump ....................................................... 21
2.5 Experimental Arrangement for Measurement of Cross Section
Area A(x, t) ................................................................................ 24
2.5.1 Calculation of Times to Take Pictures of the Deformation of
the Tube Wall............................................................................. 25
Chapter 3 Theoretical analysis ............................................................ 27
3.1. Analysis and Solution................................................................ 27
Chapter 4 Results and Discussion ....................................................... 32
4.1 Flow Characterization ................................................................ 32
4.1.1 Pressure Head ................................................................... 32
4.1.2 Response of Head Pressure in Time ................................. 34
4.2 Flow Rate.................................................................................... 38
4.3 Liebau Number () for Various Womersley Number ()........ 42
4.4 High-Speed Flash Photographs .................................................. 46
4.5 Compression of Theoretical Results and Experimental Data .... 50
Chapter 5 Conclusions......................................................................... 52
Appendix.............................................................................................. 54
References............................................................................................ 58

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