• 沒有找到結果。

第五章 結論與建議

5.2 建議

穴蝕氣泡破裂所產生的流場,甚為複雜,在實驗過程中有許多變因 與現象並未研究,下列建議供未來進一步研究之參考。

1. 本研究之試驗試管為單一管徑,若能有不同管徑之變化,可以比較其 相互作用之差異性。本研究為水平試管的探討,未來可以改變試管為 傾斜或垂直,探討不同方向上的流場狀況。本研究衝擊彈簧打入方向 為上下的垂直走向,因此震波是由垂直方向傳遞至管內,如衝擊彈簧 能與內管保持平行,即兩者保持水平方向應會降低管內的壓力消耗;

另應注意平台震動的問題,因氣泡非常小,易受外力影響。

2. 本研究在試管末端無固體邊界,後續可加上固體邊界去探討氣泡破裂 時在固體邊界上所發生的流場現象。壓力的測定只來自於尾端壓力感 測器的量測,如壓力感測器安裝於管壁上,可得到邊壁受壓力情形並 得到更多數據,且因更靠近穴蝕氣泡而能量到氣泡破裂造成強大壓 力。

3. 在定量實驗上,控制好光頁的厚度及角度以避免PIV影像過度曝光;

另質點顆粒數量多寡,是影像清晰度的關鍵,影像解析度高所計算出 的相關數據才有使用的價值。可將本研究之PIV量測方法提升為CPIV 之量測方法,提供彩色品質更好的影像,進行氣泡破裂過程之瞬間流 場、渦度場與壓力場等研究。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。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。

參考文獻

[1] 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 LondonSeries A, Mathematical and Physical Sciences, 260, pp.221-240.

[2] Blake, J. R., Robinson, P. B., Shima, A. , and Tomita, Y. (1993),

“Interaction of two cavitation bubbles with a rigid boundary”, Journal of Fluid Mechanics, 255, pp.707-721.

[3] Bremond, N. , Arora, M., Ohl, C.D., and Lohse, D. (2005), “Cavitation on surfaces”, J. Phys.: Condens.Matter, 17, pp. 3603-3608.

[4] Bremond, N. , Arora, M., Dammer, S. M. and Lohse, D. (2006),

“Interaction of cavitation bubbles on a wall”, Phys.Fluids, vol.18

[5] Brennen,Christopher,E. (1995), “Cavitation and bubble dynamics”,USA [6] Chen, X.P. (2012),“Dual Bubbles Interaction Simulation by Lattice

Boltzmann method”,China.

[7] 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, pp.159-166.

[8] Escarameia, M., Lauchlan, C. S., May, R. W. P., Burrows, R., and ahan, C., (2005). “Air in pipelines-a literature review.” Report SR 649, HR Wallingford.

[9] Falvey,H. (1980),“Air-Water Flow in HydraulicStructures”,USBR Engineering Monograph No.41, USA.

[10] Futakawa (2007),“Suppression of cavitation inception by gas bubble injection: A numerical study focusing on bubble-bubble interaction”, PHYSICAL REVIEW E 76, 046309.

[11] Hammitt, Federick, G., (1980),“Cavitationand multiphase flow phenomena”,USA.

[12] Harrison, M. (1952), “An experimental study of single bubble cavitation noise”, The Journal of the Acoustical Society of America, 24, pp.776-782.

[13] Huang, H., Dabiri, D. , and Gharib, M. (1997), “On errors of digital particle image velocimetry.” Meas. Sci. Tech., 8, pp.1427-1440.

[14] Huang, H. T. (1998), “An extension of digital PIV-processing to double-exposed images”, Experiments in Fluids, 24, pp.367-372.

[15] Jaw, S. Y. and Wu, J. L. (2000), “Alternating color image anemometry and it’s application”, Journal of Flow Visualization and Image Processing, 7, pp.189-205.

[16] Jaw, S. Y., Chen, C. J., and Hwang, R. R. (2007), “Flow visualization of bubble collapse flow”, Journal of Visualization, 10, pp.21-24.

[17] Knapp. (1970), “Cavitation”,USA.

[18] Keane, R. and Adrian, R. (1990), “Optimization of particle image velocimeters, part I, double pulsed systems”, Measurement Science and Technology, 1404, pp.1202-1215.

[19] Keane, R. and Adrian, R. (1991), “Theory of cross-correlation analysis of PIV images”, Applied scientific research, Vol.49, pp.191-215.

[20] 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, pp.139-149.

[21] Kornfeld, M. and Suvorov, L. (1944), “On the destructive action of cavitation”, Journal of Applied Physics, 15, pp.495-506.

[22] Lauterborn, W. (1969), ”Fotografische Aufnahmen vom Aufreißen einer rotierenden Wassersäule und Zerreißfestigkeitsmessungen an Wasser nach der Zentrifugenmethode: Apparatur und erste Ergebnisse”, Acustica, 22, pp. 35-47.

[23] Lauterborn, W. (1972), “High-speed photography of laser-induced breakdown in liquids”, Applied Physics Letters, 21, pp. 27-29.

[24] Lauterborn, W. (1974), “ Kavitation durch Laserlicht”, Acustica, 31, pp.

52-78.

[25] Lauterborn, W. (1980), “ Cavitation and Inhomogeneities in Underwater Acoustics”, Springer.

[26] 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, pp. 524-534.

[27] 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, pp. 684-695.

[28] 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, pp. 327-348.

[29] Nas, S.and Tryggvason, G. (2003), “Thermocapillary interaction of two bubbles or drops”, International Journal of Multiphase Flow 29, pp.1117-1135.

[30] 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, pp.648-656.

[31] 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, pp.1493-1501.

[32] Philipp, A., Delius, M., Scheffczyk, C., Vogel, A., and Lauterborn, W.

(1993), “Interaction of lithotripter-generated shock waves with air bubbles”, The Journal of the Acoustical Society of America, 93, pp.2496-2509.

[33] Philipp, A. and Lauterborn, W. (1998), “Cavitation erosion by single laser-produced bubbles”, Journal of Fluid Mechanics, 361, pp.75-116.

[34] Plesset, M. S. (1949), “The dynamics of cavitation bubbles”, Trans.

ASME: Journal of Applied Mechanics, 16, pp.277-282.

[35] 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, pp.283-290.

[36] Plesset, M. S. and Zwick, S. A. (1952), “A nonsteady heat diffusion problem with spherical symmetry”, Journal of Applied Physics, 23, pp.95-98.

[37] Pu, Z. (2004), “Noise generation during the sim ultaneous collapse of two bubbles”,China.

[38] Rayleigh, L. (1917), “On the pressure developed in a liquid during the collapse of a spherical cavity”, Philosophical Magazine, 34, pp.94-98.

[39] Rouhani, S.Z. and Sohal, M.S. (1983), “Two-phase flow patterns: A review of research results”, Progress in Nuclear Energy, 11, pp.219-259.

[40] 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.

[41] Smolianski, A. , Haario, H. and Luukka, P. (2005), “Vortex shedding behind a rising bubble and two-bubble coalescence: a numerical approach”, Applied Mathematical Modelling , 29, pp.615-632.

[42] Thomas, M., Misra, S., Kambhamettu, C., and Kirby, J., (2005),“A robust motion estimation algorithm for PIV. Measurement Science Technology”, 16, pp.865-877.

[43] Tomita,Y., Shima, A.,and Sato, K., (1990), “Dynamic behavior of two-laser-induced bubbles in water”, Appl. Phys. Lett., 57 , pp.234-236.

[44] Vaz, M.F. and Cox, S.J. (2005),“Two-bubble instabilities in quasi two dimensional foams”, Philisophical Magazine Letters, vol. 85, Issue 8, pp.415-425.

[45] Vogel, A. and Lauterborn, W. (1988), “Time-resolved particle image velocimetry used in the investigation of cavitation bubble dynamics”, Applied Optics, 29, pp.1869-1876.

[46] Westerweel, J. (1994), “Efficient detection of spurious vectors in particle images velocimetry data”, Experiments in Fluids, 16, pp.236-247.

[47] Westerweel, J. , Dabiri, D., and Gharib, M. (1997), “The effect of a discrete window offset on the accuracy of cross-correlation analysis of digital PIV recordings”, Experiments in Fluids, 23, pp.20-28.

[48] Yang, S. H., Jaw, S. Y., and Yeh, K. C. (2009), “Single cavitation bubble generation and observation of the bubble collapse flow induced by a pressure wave”, Experiments in fluids,47, pp.343-355.

[49] Zhang, L. and Shoji, M., (2003), “Nucleation site interaction in pool boiling on the artificial surface” Int. J. Heat Mass Transf., 46, pp.513-522.

[50] Zhang,P.L. (2008), “Two-bubble interaction under the sound field”, China.

附錄一 Kelvin–Helmholtz instability 定理

由於各相流之間的剪應力作用使得不同流相因加速度差異產生不穩定 性,此現象稱為 Kelvin - Helmholtz 不穩定流動,產生流體層流流況穩定逐 漸轉化為紊流。因此,區分無旋運動和有旋運動是研究無粘流動必須遵循 的基本原則,Kelvin 速度環量守恆定理和 Helmholtz 關於渦量守恆的幾個定 理,為研究氣-液流動提供了重要的理論基礎。

分析說明:

分析說明:

相關文件