建議

1. 本研究經過多次試驗照明設備修正，其中，於影像擷取與 PIV 量測

取。得知燈光之影像適合於氣泡破裂時之定性描述，可清楚呈現出 穴蝕氣泡的破裂過程。而雷射光源則需將單點光源藉由玻璃圓柱棒 轉換為光頁，使光頁穿透試驗試管，橫切於氣泡中央截面上，適用 於PIV 的速度場之定量分析使用。

2. PIV 定量分析上，於質問窗大小的選用、不一致資料去除的參數設 定均與所擷取之影像品質有直接關係。因此，在質問窗大小與不一 致資料去除之參數設定上，需根據影像品質做適當的參數調整。

3. 氣泡靜止時，氣泡表面受到光頁反射影響小，但氣泡開始運動後，

在形成液體噴流至氣泡破裂期間，氣泡表面變形之同時亦於其表面 產生折射現象，因此，試驗時將光頁變薄，僅可降低折射現象，但 無法完全避免。在PIV 演算時，折射產生於氣泡表面附近之亮度帶 區域，視為與一般影像亮度值分佈一樣，可用於互相關函數之質點 位移分析。

4. 於現階段量測設備，由於氣泡破裂時間甚短，試驗使用之高速攝影 機受到解析度與取像速度之限制，於PIV 分析上僅能擷取到氣泡中 央部分進行分析，未能統計出氣泡破裂後之氣泡體積。因此，於研 究設備上仍有改善空間，可使試驗結果更為精密完善。

5. 於球狀體穴蝕氣泡之 PIV 研究上，因氣泡破裂過程頗為複雜，加上 三維的運動效應存在，使用1.5mm 厚之雷射光頁，仍存在局部三維 運動現象。因此，改善光頁厚度與顯影質點更細化之搭配，可供PIV 在後續研究發展得到改善，以期更能呈現於中央截面上之氣泡破裂 過程。

6. 後續可能之研究方向：

(1) 藉由 PIV 量測技術的提升與應用高解析度之 Color PIV 法量測技術 所提供之高品質數據，可進行氣泡破裂過程之瞬間流場、渦度場與 壓力場等數值方法之研究。

(2) 球狀體與扁平氣泡之破裂結果有明顯之差異，後續可藉由不同管徑 之設計，探討氣泡破裂過程之二維與三維現象之臨界值。

參考文獻

1.

Akmanov, A. G. , Ben’kovskii, V. G., Golubnichii, P. I., Maslennikov, S. I., and

Shemanin, V.G. (1974), “Laser sonoluminescence in a liquid”, Soviet Physics Acoustics, 19, 417-418.

2.

Baghdassarian, O., Chu, H.C., Tabbert, B., and Williams, G.A. (2001), “Spectrum

of luminescence from laser-created bubbles in water”, Physical Review Letters, 86, 4934-4937.

3.

Benjamin, T. B. and Ellis, A. T. (1966), “The collapse of cavitation bubbles and

the pressures thereby produced against solid boundaries”, Philosophical Transactions of the Royal Society of London Series A, Mathematical and Physical Sciences, 260, 221-240.

4.

Best, J. P. (1993), “The formation of toroidal bubbles upon the collapse of

transient cavities”, Journal of Fluid Mechanics, 251, 79-107.

5.

Blake, J. R., Hooton, M. C., Robinson, P. B., and Tong, R. P. (1997), “Collapsing

cavities, toroidal bubbles and jet impact”, Philosophical Transactions Mathematical, Physical and Engineering Sciences, 355, 537-550.

6.

Brujan, E. A., Keen, G. S., Vogel, A., and Blake, J. R. (2002), “The final stage of

the collapse of a cavitation bubble close to a rigid boundary”, Physics of Fluids, 14, 85-92.

7.

Buzukov, A. A. and Teslenko, V. S. (1971), “Sonoluminescence following

focusing of laser radiation into liquid”, Journal of Experimental and Theoretical Physics Letters, 14, 189-191.

8.

Ciaravino, V., Flynn, H. G.., Miller, M. W., and Carstensen, E. L. (1981), “Pulsed

enhancement of acoustic cavitation: a postulated model”, Ultrasound in Medicine and Biology, 7, 159-166.

9.

Fincham, A. M. and Spedding, G. R. (1997), “Low cost, high resolution DPIV for

measurement of turbulent fluid flow”, Experiments in Fluids, 23, 449-462.

10.

Flannigan, D. J. and Suslick, K. S. (2005), “Plasma formation and temperature

measurement during single-bubble cavitation”, Nature, 434, 52 -55.

11.

Frenzel, H. and Schultes, H. (1934), “Luminescenz im ultraschallbeschikten

Wasser”, Zeitschrift f physikal. Chemie, 27B (6), 421-424.

12.

Franc, J. P. and Michel, J. M. (2004), “Fundamentals of Cavitation”, Springer Netherlands.

13.

Gaitan, D. F., Crum, L. A., Church, C. C., and Roy, R. A. (1992),

“Sonoluminescence and bubble dynamics for a single, stable, cavitation bubble”, The Journal of the Acoustical Society of America, 91, 3166-3183.

14.

Gilmore, F. R. (1952), “The growth and collapse of a spherical bubble in a viscous

compressible liquid”, Technical Report California Institute of Technology, Pasadena, CA.

15.

Harrison, M. (1952), “An experimental study of single bubble cavitation noise”,

The Journal of the Acoustical Society of America, 24, 776-782.

16.

Huang, H., Dabiri, D., and Gharib, M. (1997), “On errors of digital particle image

velocimetry.” Meas. Sci. Tech., 8, 1427-1440.

17.

Huang, H. T. (1998), “An extension of digital PIV-processing to double-exposed

images”, Experiments in Fluids, 24, 367-372.

18.

Jaw, S. Y. and Wu, J. L. (2000), “Alternating color image anemometry and it’s

application”, Journal of Flow Visualization and Image Processing, 7, 189-205.

19.

Jaw, S. Y., Chen, C. J., and Hwang, R. R. (2007), “Flow visualization of bubble

collapse flow”, Journal of Visualization, 10, 21-24.

20.

Keane, R. and Adrian, R. (1990), “Optimization of particle image velocimeters,

1202-1215.

21.

Kling, C. L. and Hammitt, F.G. (1972), “A photographic study of spark-induced

cavitation bubble collapse”, Transactions of the ASME D: Journal of Basic Engineering, 94, 825-833.

22.

Kodama, T. and Tomita, Y. (2000), “Cavitation bubble behavior and bubble-shock

wave interaction near a gelatin surface as a study of in vivo bubble dynamics”, Applied Physics B, 70, 139-149.

23.

Kornfeld, M. and Suvorov, L. (1944), “On the destructive action of cavitation”,

Journal of Applied Physics, 15, 495-506.

24.

Lauterborn, W. (1969), ”Fotografische Aufnahmen vom Aufreißen einer

rotierenden Wassersäule und Zerreißfestigkeitsmessungen an Wasser nach der Zentrifugenmethode: Apparatur und erste Ergebnisse”, Acustica, 22, 35-47.

25.

Lauterborn, W. (1972), “High-speed photography of laser-induced breakdown in

liquids”, Applied Physics Letters, 21, 27–29.

26.

Lauterborn, W. (1974), “ Kavitation durch Laserlicht”, Acustica, 31, 52-78.

27.

Lauterborn, W. (1980), “ Cavitation and Inhomogeneities in Underwater

Acoustics”, Springer- Verlag.

28.

Lauterborn, W., Kurz, T. Geisler, R., Schanz D., and Lindau, O. (2007), “Acoustic

cavitation, bubble dynamics and sonoluminescence”, Ultrasonics Sonochemistry, 14, 484- 491.

29.

Lawson, N. J., Rudman, A., Guerra, J., and Liow, J. L. (1999), “Experimental and

numerical comparisons of the break-up of a large bubble”, Experiments in Fluids, 26, 524-534.

30.

Liang, D. F., Jiang, C. B., and Li, Y. L. (2002), “A combination correlation-based

interrogation and tracking algorithm for digital PIV evaluation”, Experiment in Fluids, 33, p684-695.

31.

Lindau, O. and Lauterborn, W. (2001) “Investigation of the counterjet developed

in a cavitation bubble that collapses near a rigid boundary”, Fourth International Symposium on Cavitation, California Institute of Technology, USA.

32.

Lindau, O. and Lauterborn, W. (2003), “Cinematographic observation of the

collapse and rebound of a laser-produced cavitation bubble near a wall”, Journal of Fluid Mechanics, 479, 327-348.

33. Meshkov, E. E. (1969), “Instability of the interface of two gases accelerated by a shock wave”, Fluid Dynamics, 4, 101-104.

34.

Naude, C. F. and Ellis, A. T. (1961), “On the mechanism of cavitation damage by

nonhemispherical cavities collapse in contact with a solid boundary”, Transactions of the ASME D: Journal of Basic Engineering, 83, 648-656.

35.

Nogueira, J., Lecuona, A., and Rodriguez, P. A. (1997), “Data validation, false

vectors correction and derived magnitudes calculation on PIV data”, Meas.

Science and Technology, 8, 1493-1501.

36.

Ohl, C. D., Philipp, A., and Lauterborn, W. (1995), “Cavitation bubble collapse

studied at 20 million frames per second”, Annalen der Physik, 4, 26-34.

37.

Ohl, C. D., Lindau, O., and Lauterborn, W. (1998), “Luminescence from

spherically and aspherically collapsing laser induced bubbles”, Physical Review Letters, 80, 393-397.

38.

Ohl, C. D., Kurz, T., Geisler, R., Lindau, O., and Lauterborn, W. (1999), “Bubble

dynamics, shock waves and sonoluminescence”, Philosophical Transactions of the Royal Society of London: Mathematical, Physical and Engineering Sciences, 357, 269-294.

39.

Philipp, A., Delius, M., Scheffczyk, C., Vogel, A., and Lauterborn, W. (1993),

“Interaction of lithotripter-generated shock waves with air bubbles”, The Journal

40.

Philipp, A. and Lauterborn, W. (1998), “Cavitation erosion by single

laser-produced bubbles”, Journal of Fluid Mechanics, 361, 75-116.

41.

Plesset, M. S. (1949), “The dynamics of cavitation bubbles”, Trans. ASME:

Journal of Applied Mechanics, 16, 277-282.

42.

Plesset, M. S. and Zwick, S. A. (1952), “A nonsteady heat diffusion problem with

spherical symmetry”, Journal of Applied Physics, 23, 95-98.

43.

Plesset, M. S. and Chapman, R. B. (1971), “Collapse of an initially spherical

vapour cavity in the neighbourhood of a solid boundary”, Journal of Fluid Mechanics, 47, 283-290.

44.

Rayleigh, L. (1917), “On the pressure developed in a liquid during the collapse of

a spherical cavity”, Philosophical Magazine, 34, 94-98.

45.

Shaw, S. J., Jin, Y. H., Schiffers, W. P., and Emmony, D. C. (1996), “The

interaction of a single laser-generated cavity in water with a solid surface”, The Journal of the Acoustical Society of America, 99, 2811-2824.

46.

Shaw, S. J., Schiffers, W. P., and Emmony, D. C. (2001), “Experimental

observations of the stress experienced by a solid surface when a laser-created bubble oscillates in its vicinity”, The Journal of the Acoustical Society of America, 110, 1822-1827.

47.

Sankin, G. N., Simmons, W. N., Zhu, S. L., and Zhong, P. (2005), “Shock wave

interaction with laser-generated single bubbles”, Physical Review Letters, 034501-4.

48.

Taleyarkhan, R. P., Cho, J. S., West ,C. D. Lahey, Jr. R. T., Nigmatulin, R. I., and

Block, R. C. (2004), “Additional evidence of nuclear emissions during acoustic cavitation”, Physical Review Letters, 68, 036109-11.

49.

Tomita, Y. and Shima, A. (1986), “Mechanisms of impulsive pressure generation

and damage pit formation by bubble collapse”, Journal of Fluid Mechanics, 169,

535-564.

50.

Tong, R. P., Schiffers, W. P., and Blake, S. J. (1999), “Splashing in the collapse of

a laser-generated cavity near a rigid boundary” Journal of Fluid Mechanics, 380, 339-361.

51.

Vogel, A. and Lauterborn, W. (1988), “Time-resolved particle image velocimetry

used in the investigation of cavitation bubble dynamics”, Applied Optics, 29, 1869-1876.

52.

Vogel, A., Lauterborn, W., and Timm, R. (1989), “Optical and acoustic

investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary”, Journal of Fluid Mechanics, 206, 299-338.

53. Ward, B. and Emmony, D. C. (1991), “Direct observation of the pressure developed in a liquid during cavitation-bubble collapse”, Applied Physics Letters, 59, 2228-2231.

54.

Westerweel, J. (1994), “Efficient detection of spurious vectors in particle images

velocimetry data”, Experiments in Fluids, 16, 236-247.

55.

Willert, C. and Gharib, M. (1991), “Digital particle image velocimetry”,

Experiments in Fluids, 10, 181–193.

56.

Wolfrum, B., Kurz, T., Lindau, O., and Lauterborn, W. (2001), “Luminescence of

transient bubbles at elevated ambient pressure”, Physical Review E, 64, 046306-5.

57.

Zhang, S., Duncan, J. H., and Chahine, G. L. (1993), “The final stage of the

collapse of a cavitation bubble near a rigid wall”, Journal of Fluid Mechanics, 257, 147-181.

58.

Zhu, S. and Zhong, P. (1999), “Shock wave–inertial microbubble interaction: a

theoretical study based on the Gilmore formulation for bubble dynamics”, The Journal of the Acoustical Society of America, 106, 3024-3033.

研究”，33(7)，水力發電。

圖1-1 穴蝕氣泡形成方法的分類

圖1-2 氣泡運動示意圖

圖1-3 氣泡破裂產生之震波現象，影像時間間距為 0.5μ ，氣泡直徑約 1.5mm

s

（影像摘自Sankinet al.2005）

1-4氣泡初形成、氣泡膨脹至最大、氣泡瞬間被壓縮、氣泡發光變化示意圖

圖1-5 氣泡破裂產生之發光現象，影像大小為 1mm×1mm

（影像摘自Lauterbornet al.2007）

圖1-6 逆向噴流形成過程影像時間間距為 1μ ，氣泡直徑約 1.5mm

s

（影像摘自Lindau and Lauterborn 2003)

圖1-7 噴濺形成過程，影像時間間距為 0.2μ ，氣泡直徑約 1.5mm

s

（影像摘自Brujan et al. 2002)

照片2- 1 透明圓柱管放置於旋轉馬達

照片2- 2 透明圓柱管旋轉後產生穴蝕氣泡

在文檔中 單一穴蝕氣泡產生與破裂行為之試驗研究 (頁 75-87)