博碩士論文 92222010 詳細資訊




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姓名 趙家興(Chia-Hsin Chao)  查詢紙本館藏   畢業系所 物理學系
論文名稱 螺旋狀物體在剪切流中的運動行為
(Motion of a screw in the shear flow)
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摘要(中) 我們經由兩個不同的方法研究螺旋狀物體在剪切流中的運動行為,而在我們
的實驗中我們用Couette flow system 來產生剪切流。螺旋狀物體在剪切流中以三
種不同的方式擺放,且被限制只有垂直方向上可以自由移動。方式(a):螺旋
狀物體的長軸沿著Couette flow system 的徑向方向擺放。方式(b):螺旋狀物
體的長軸沿著鉛直方向擺放。方式(c):螺旋狀物體的長軸沿著水流方向擺放。
我們發現螺旋狀物體在剪切流中的受力是由其螺紋和剪切流的交互作用產生,且
其運動行為和螺紋結構有關。作用在螺旋狀物體上的合力會隨著流速的增加而增
加。左旋螺旋狀物體在剪切流中的運動型行為和右旋螺旋狀物體完全相反,所以
此現象滿足鏡像對稱。
摘要(英) We use two different methods to study experimentally the motion of helical rods
(screws) immersed in a shear flow produced by a Couette flow system. In our
experiment, we observe three modes of the screw immersed in the shear flow and
the screw is restricted to move only vertically (the vorticity direction). In mode
(a), the lengthwise-axis of a screw is along the radial direction of the cylinder of
the Couette flow system. In mode (b), the lengthwise-axis of a screw is vertical. In
mode ( c ), the lengthwise-axis of a screw is parallel to the flow direction. We find
that the motion of a screw result from the thread-shear flow interaction and some
other effects, and it has a relation with the chiral structure of a screw. The resultant
forces which act on the screw would increase while the velocity of flow increases.
The motion of a left-hand screw immersed in the shear flow is opposite to the motion
of a right-hand screw immersed in the shear flow, so all of the phenomenons of the
screw ( right-hand and left-hand screw ) acted upon by a extra force would conform
to the symmetry of a mirror image.
關鍵字(中) ★ 螺旋狀
★ 剪切流
關鍵字(英) ★ shear flow
★ screw
論文目次 1 Introduction 1
2 Theory of fluid flow and previous study of a shear flow past an
isolated circular cylinder 5
2.1 The Navier-Stokes equation . . . . . . . . . . . . . . . . . . . . . . . 5
2.2 Steady flow between two concentric rotating cylinders . . . . . . . . . 6
2.3 Previous study of a shear flow past an isolated circular cylinder . . . 8
3 Apparatus and Measurement 16
3.1 Experimental setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
3.1.1 Flow cell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
3.1.2 The geometry of a screw . . . . . . . . . . . . . . . . . . . . . 17
3.2 Displacements of the screw acted upon by a extra force measurement 20
3.2.1 The vertical velocitymeasurement (Method A) . . . . . . . . 20
3.2.2 The vertical forcemeasurement (Method B) . . . . . . . . . . 23
4 Result and Discussion 29
4.1 The result of the experimentalmeasurement (Method A) . . . . . . . 29
4.2 The result of the experimentalmeasurement (Method B) . . . . . . . 32
4.2.1 The moving direction of a screw in a shear flow . . . . . . . . 33
5 Conclusions 45
參考文獻 [1] Griffin, O.M., ASME Journal of Fluids Engineering 107, 298—306 (1985).
[2] Jordan, S.K., Fromm, J.E., The Physics of Fluids 15, 972—976 (1972).
[3] Tamura, H., Kiya, M., Arie, M., Bulletin of JSME 23, 1952—1958 (1980).
[4] Lei, C., Cheng, L., Kavanagh, K., Ocean Engineering 27, 271—290 (2000) .
[5] Yoshino, F., Hayashi, T., Bulletin of the JSME 27, 1850—1857 (1984).
[6] Ayukawa, K., Ochi, J., Kawahara, G., Hirao, T., Journal of Wind Engineering
and Industrial Aerodynamics 50, 97—106 (1993).
[7] Hwang, R.R., Sue, Y.C., International Journal for Numerical Methods in Fluids
25, 1409—1420 (1997).
[8] Wu, T., Chen, C.-F., Acta Mechanica 144, 71—82 (2000).
[9] D. Sumner*, O.O. Akosile, Journal of Fluids and Structures 18 (2003) 441—454
(2003).
46
指導教授 陳培亮(Peilong Chen) 審核日期 2005-7-20
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