• 沒有找到結果。

第五章 紊流特性分析

6.2 建議

在初步完成圓管噴流射入橫流環境之流場運動行為與動力機制 相關研究後,為能進一步提供實際工程應用,仍需持續不斷進行相關 研究與效果評估,需持續探討之相關主題包含:

(1) 利用平面雷射誘導螢光(Planar Laser Induced Fluorescence, PLIF)進行瞬間與平均流場濃度分析。

(2) 選擇噴流與橫流不同密度流體介質進行分析探討。

(3) 設定噴流與橫流不同流體溫度條件進行溫度影響評估。

(4) 針對 y-z 剖面進行量測分析。

目前高速 PIV 量測系統所採用之高效能高頻脈衝雷射因設備費 用因素,尚無法普及推廣。如能設法利用其它光學技術解決光源與質 點問題,依據PIV 原理由國內研究單位自行發展分析軟體,配合數位 影像擷取設備快速進展與成本持續降低。相信將來高速全場瞬時流場 速度量測技術必能普及應用在各工程領域中,使得難以捉模的流場變 化特性,得以具體量化呈現。

參 考 文 獻

[1] Fric, T. F. and Roshko, J., “Vortical Structure in the Wake of a Transverse Jet,” Journal of Fluid Mechanics, Vol. 279, 1994, pp.

1-47.

[2] Jordinson, R, “Flow in a Jet Directed Normal to the Wind,” British Aeronautical Research Council, Reports and Memoranda No.3074, 1956, pp. 1-17.

[3] Epshtein, A. M., “Shape of Turbulent Jet Axis in an Unbounded Horizontal Cross Flow,” Journal of Engineering Physics, Vol. 9, No. 4, 1965, pp. 451-456.

[4] Shandorov, G. S., “Calculation of the Axis of a Cross Flow,” Soviet Aeronautics, Vol. 2, No. 2, 1966, pp. 60-62.

[5] Pratte, B. D. and Baines, W. D., “Profiles of the Round Turbulent Jet in a Cross Flow,” Journal of the Hydraulics Division, Proceeding of the American Society of Civil Engineers, Vol. 93, No. HY6, 1967, pp. 53-64.

[6] Patrick, M. A., “Experimental Investigation of Mixing and Flow in a Round Turbulent Jet Injected Perpendicularly into a Main Stream,”

Journal of the Institute of Fuel, September, 1967, pp. 425-431.

[7] Chassaing, P., George, J., Claria, A., and Sananes, F., “Physical Characteristics of Subsonic Jets in a Cross-Stream,” Journal of Fluid Mechanics, Vol. 62, Part 1, 1974, pp. 41-64.

[8] Muppidi, S. and Mahesh, K., “Study of Trajectories of Jets in Crossflow Using Direct Numerical Simulations,” Journal of Fluid Mechanics, Vol. 530, 2005, pp. 81-100.

[9] Keffer, J. F. and Baines, W. D., “The Round Turbulent Jet in a Cross-Wind,” Journal of Fluid Mechanics, Vol. 15, 1963, pp.

481-496.

[10] Ramsey, J. W. and Goldstein, R. J., “Interaction of a Heated Jet with a Deflecting Stream,” ASME-AICHE Heat Transfer Conference, Tulsa, Okla., August 15-18, 1971, Paper No. 71-HT-2, pp. 1-8.

[11] Kamotani, Y. and Greber, I., “Experiments on a Turbulent Jet in a Cross Flow,” AIAA Journal, Vol. 10, No. 11, 1972, pp. 1425-1429.

[12] Rudinger, G. and Moon, L. F., “Laser-Doppler Measurements in a Subsonic Jet Injected into a Subsonic Cross Flow,” Journal of Fluids Engineering, ASME Transactions, vol. 98, 1976, pp.

516-520.

[13] Fearn, R. and Weston, R. P., “Vorticity Associated with a Jet in a Cross Flow,” AIAA Journal, Vol. 12, No. 12, 1974, pp. 1666-1671.

[14] Sykes, R. I., Lewellen, W. S., and Parker, S. F., “On the Vorticity of a Turbulent Jet in a Crossflow,” Journal of Fluid Mechanics, Vol.

168, 1986, pp. 393-413.

[15] Mcmahon, H. M., Hester, D. D., and Palfery, J. G., “Vortex Shedding from a Turbulent Jet in a Cross-Wind,” Journal of Fluid Mechanics, Vol. 48, part 1, 1971, pp. 73-80.

[16] Roshko, A., “On the Development of Turbulent Wakes from Vortex Streets,” National Advisory Committee for Aeronautics, Technical Note, 1953, No.2913.

[17] Kelso, R. M. and Smits, A. J., “Horseshoe Vortex System Resulting from the Interaction between a Laminar Boundary Layer and a Transverse Jet,” Physics of Fluids, Vol. 7, No. 1, 1995, pp. 153-158.

[18] Andreopoulos, J., “On the Structure of Jets in a Crossflow,” Journal of Fluid Mechanics, Vol. 157, 1985, pp. 163-197.

[19] Krothapalli, A. and Lourenco, L., “Separated Flow Upstream of a Jet in a Crossflow,” AIAA Journal, Vol. 28, No. 3, 1989, pp. 414-420.

[20] Moussa, Z. M., Trischka, J. W., and Eskinazi, S., “The Near Field in the Mixing of a Round Jet with a Cross-Stream,” Journal of Fluid Mechanics, Vol. 80, Part 1, 1977, pp. 49-80.

[21] Kelso, R. M., Lim, T. T., and Perry, A. E., “An Experimental Study of Round Jets in Cross-Flow,” Journal of Fluid Mechanics, Vol.

306, 1996, pp. 111-144.

[22] New, T. H., Lim, T. T., and Luo, S. C., “Elliptic Jets in Cross-Flow,”

Journal of Fluid Mechanics, Vol. 494, 2003, pp. 119-140.

[23] Wu, J. M., Vakili, A. D., and Yu, F. M., “Investigation of the Interacting Flow of Nonsymmetric Jets in Crossflo,” AIAA Journal, Vol. 26, No. 8, 1988, pp. 940-947.

[24] Liscinsky, D. S. and True, B., “Crossflow Mixing of Noncircular Jets,” 33rd Aerospace Sciences Meeting and Exhibit, AIAA-95-0732, January, 1995, pp. 1-11.

[25] Tyagi, M. and Acharya, S., “Large Eddy Simulations of Rectangular Jets in Crossflow: Effect of Hole Aspect Ratio,” Second AFSOR Conference on DNS/LES, Rutgers Univ., NJ, June, 1999, pp. 1-12.

[26] 姜國強、李煒, “横流中有限寬窄縫射流的漩渦結構,”

水利學報

, 第五期, 2004 年 5 月, pp. 52-63.

[27] 郭婷婷、徐中、李少華 “兩種角度橫向紊動射流的實驗分析,”

西 安交通大學學報

, 第 37 卷, 第 11 期, 2003 年 11 月, pp. 1207-1210.

[28] Crabb, D., Durão, D. F. G., and Whitelaw, J. H., “A round jet normal to a cross flow,” Journal of Fluids Engineering, ASME Transactions, Vol. 103, 1981, pp. 142-152.

[29] Brizzi, L. E., Foucault, E., and Bousgarbies, J. L., “Vortices Organization in the Near Field of a Jet Issuing Normally into a Crossflow,” Journal of Flow Visualization & Image Processing, Vol. 5, 1998, pp. 17-28.

[30] Huang, R. F. and Wang, S. M., “Characteristics Flow Modes of Wake-Stabilized Jet Flames in a Transverse Air Stream,”

Combustion and Flame, Vol. 117, No. 1/2, 1999, pp. 59-77.

[31] Tsue, M. and Kadota, T., “Detailed Measurements of the Structure of a Jet Diffusion Flame in a Cross Flow,” Proceedings of the Combustion Institute, Vol. 28, 2000, pp. 295-301.

[32] Qi, M., Chen, Z., and Fu, R., “Flow Structure of the Plane Turbulent Impinging Jet in Cross Flow,” Journal of Hydraulic Research, Vol.

39, No. 2, 2001, pp. 155-161.

[33] Huang, R. F. and Hsieh, R. H., “Flow Visualization and LDV Measurement on Near-Wake of Elevated Jets in a Crossflow,”

Proceeding of PSFVIP-4, Chamonix, France, Paper No. F4101, June 3-5, 2003.

[34] Broadwell, J. E. and Breidenthal, R. E., “Structure and Mixing of a

Transverse Jet in Incompressible Flow,” Journal of Fluid Mechanics, Vol. 148, 1984, pp. 405-412.

[35] Huang, R. F. and Chang, J. M., “Coherent Structure in a Combustion Jet in Crossflow,” AIAA Journal, Vol. 32, No. 6, 1994, pp.

1120-1125.

[36] Meyer, K. E., Özcan, O., and Larsen, P. S., “Point and Planar LIF for Velocity-Concentration Correlations in a Jet in Cross Flow,”

proceedings of 10th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, July 10-13, 2000, Paper No. 18.5.

[37] Su, L. K. and Mungal, M. G., “Simultaneous Measurements of Scalar and Velocity Field Evolution in Turbulent Crossflowing Jets,” Journal of Fluid Mechanics, Vol. 513, 2004, pp. 1-45.

[38] Su, L. K., “Measurements of Scalar and Velocity Fields in Turbulent Crossflowing Jets with Low Velocity Ratio,” AIAA paper 2000-0815, 2000.

[39] Pan, G. and Meng, H., “An Experimental Study of Turbulent Mixing in a Tee Mixer Using PIV and PLIF,” AICHE J., Vol. 47, 2001, pp.

2653-2665.

[40] Bournot, P., Caminat, P., Mahjoub, N., and Stefanini, J.,

“Experimental Study of the Plume Emitted by a Smokestack,”

Proceeding of PSFVIP-4, Chamonix, France, Paper No. F4049, June 3-5, 2003.

[41] Eiff, O. S., Kawall, J. G., and Keffer, J. F., “Lock-in of Vortices in the Wake of an Elevated Round Turbulent Jet in a Crossflow,”

Experiments in Fluids, Vol. 19, 1995, pp. 203-213.

[42] Eiff, O. S. and Keffer, J. F., “On the Structure in the Near-Wake Region of an Elevated Turbulent Jet in a Crossflow,” Journal of Fluid Mechanics, Vol. 333, 1997, pp. 161-195.

[43] Andreopoulos, J., “Wind Tunnel Experiments on Cooling Tower Plumes, Part I: In Uniform Cross Flow,” ASME Paper 86-WA/HT-32, Annual Meeting, Anaheim, California, December 7-12, 1986.

[44] Andreopoulos, J., “Wind Tunnel Experiments on Cooling Tower Plumes, Part II: In Non-Uniform Cross Flow of Boundary Layer

Type,” ASME Paper 86-WA/HT-32, Annual Meeting, Anaheim, California, December 7-12, 1986.

[45] Andreopoulos, J., “Measurements in a Jet-Pipe Flow Issuing Perpendicularly into a Cross Stream,” Journal of Fluids Engineering, ASME Transactions, vol. 104, 1982, pp. 493-499.

[46] Andreopoulos, J. and Rodi, W., “Experimental Investigation of Jets in a Crossflow,” Journal of Fluid Mechanics, Vol. 138, 1984, pp.

93-127.

[47] Peterson, S. D. and Plesniak, M. W., “Evolution of Jets Emanating from Short Holes into Crossflow,” Journal of Fluid Mechanics, Vol.

503, 2004, pp. 57-91.

[48] Hussain, A. K. M. F. and Ramjee, V., “Effect of the Axisymmetric Contraction Shape on Incompressible Turbulent Flow,” Journal of Fluids Engineering, ASME Transactions, vol. 98, No. 1, 1976, pp.

58-69.

[49] Flagan, R. C. and Seinfeld, J. H., “Fundamentals of Air Pollution Engineering,” Prentice Hall, Englewood Cliffs, New Jersey, 1988, pp. 290-357.

[50] Keane, R. D. and Adrian, R. J., “Optimization of Particle Image Velocimeters, Part I: Double Pulsed System,” Measurement Science and Technology, vol. 1, 1990, pp. 1202-1215.

[51] Zaman, K. B. M. Q. and Hussain, A. K. M. F. “Taylor Hypothesis and Large-Scale Coherent Structures,” Journal of Fluid Mechanics, Vol. 112, 1981, pp. 379-396.

[52] Lighthill, M. J., “Laminar Boundary Layer,” Ed. Rosenhead, L., Oxford University, College of Engineer, 1963, pp. 48-88.

[53] Perry, A. E. and Fairlie, B. D., “Critical Points in Flow Patterns,”

Advance in Geophysics, vol. 18, No. B, 1974, pp. 299-315.

[54] Perry, A. E. and Chong M. S., “The Vortex-Shedding Process Behind Two-Dimensional Bluff Bodies,” Journal of Fluid Mechanics, Vol. 116, 1982, pp. 77-90.

[55] Perry, A. E. and Steiner, T. R., “Large-Scale Vortex Structures in Turbulent Wakes Behind Bluff Bodies. Part 1. Vortex Formation Processes,” Journal of Fluid Mechanics, Vol. 174, 1987, pp.

233-270.

[56] Hunt, J. C. R., Abell, C. J., Peterka, J. A., and Woo, H.,

“Kinematical Studies of the Flows Around Free or Surface-Mounted Obstacles; Applying Topology to Flow Visualization,” Journal of Fluid Mechanics, Vol. 86, part 1, 1978, pp. 179-200.

[57] Coutanceau, M. and Pineau, G., “Some Typical Mechanisms in the Early Phase of the Vortex-Shedding Process from Particle-Streak Visualization,” Atlas of Visualization III, Eds. Nakayama, Y. and Tanida, Y., CRC Press, Boca Raton, 1997, pp. 43-86.

Kerosene smoke vapor properties Particle diameter (

D

p) 4.79

μ

m

Particle density (

ρ

p) 5.31 kg/m3 Air properties

(T=298 K, Velocity range=1∼12 m/s)

Density (

ρ

) 1.18 kg/m3 Dynamic viscosity (

μ

) 1.838×10-5 N-s/m2

Mean free path (

λ

) 0.065

μ

m Calculated aerosol properties

Knudsen number (Kn) 0.027 Relaxation time (

τ

) 3.808×10-7 sec Slip correction factor (Cc) 1.034 Stokes number (Stk)

(at characteristic length of 5mm) 9.139×10-4∼7.616×10-5 Terminal settling velocity (vt) 3.732×10-6 m/s

Stopping distance (xs) 3.808×10-7∼4.570×10-6 m 表2.1 白蠟油煙霧質點主要特性

Laser beam specifications Wave length 514.5 nm Output power 6.0 W Beam diameter 1.4 mm Beam divergence 0.5 mrad

Polarization 100:1 vertical Optical noise: Current mode

Power mode

≤ 0.5% rms

≤ 0.5% rms Power stability: Current mode

Power mode

± 1%

± 5%

表2.2 Stabilite-2017 Argon-ion 雷射主要特性

REDLAKE MotionPro

High Speed Digital Imaging System Specifications Camera head CMOS sensor with monochrome 1280×1024 active

pixels Pixel size 12 μm Sensor

dynamic range 59 dB Frame storage

capacity 6 GB=4913 full frames Frame rate Up to 10,000 fps

Pre-established resolutions corresponding to frame rates

Resolutions Max. Frame Rates (fps) Shutter Speed (sec)

Trigger In Trigger Out Exposure Out

表2.3 REDLAKE MotionPro 高速攝影機主要特性

Performance specifications of high-repetition rate, dual laser heads, diode-pumped Nd:YLF laser system

Wave length 527 nm Repetition rate: Dual cavity system

Per cavity system

2-20,000 Hz 1-10,000 Hz Energy: Dual cavity system

Per cavity system

≥ 10mJ, 2,000 Hz (2×1,000 Hz)

≥ 10mJ, 1,000 Hz Power: (1,000 Hz×2)

Dual cavity system Per cavity system

≥ 20 watts

≥ 10 watts Beam diameter 1.5 mm Beam divergence ≤ 3 mrad

Polarization vertical Pulse width at 1 kHz < 180 ns

Energy stability (rms %) @ 2 kHz,

20W < 1%

表2.4 高速脈衝雷射主要特性

IDT X-stream XS-4

high-speed digital imaging system specifications Pixel depth 10 bits (8 bits output)

Pixel size 16×16 micron Resolution 512H×512V pixels Center to center spacing 16 micron

Dynamic range 59 dB

Trigger modes

Internal (continuous);

External (edge-low, edge-high, pulse low and pulse high);

Pulse train and single pulse burst Memory configuration 2 GB

Minimum inter-frame rate 100 ns

Digital interface Plug-and-play with real time preview, USB-2.0 (480 Mbps)

Trigger and synchronization CMOSE level (3.3V) via BNC connector

Optical interface Standard: C-mount

C to F and cannon converters available Image resolution

512H×512V

圖1.1 噴流受橫流衝擊時所產生之不同渦漩系統。

( from Fric and Roshko [1] )

圖2.1 風洞實驗設備與儀器配置。

圖2.2 噴流供應系統。

圖 2.3 自製煙霧產生器與構造示意圖。

圖 2.4 煙霧粒徑量測分佈圖。

圖 2.5 流場觀察使用之 Argon-ion 雷射。

圖2.6 雷射光束聚焦準直原理。

圖2.7 Redlake MotionPro 高速影像擷取系統。

圖2.8 高速脈衝雷射。

圖2.9 高速脈衝雷射輸出能量與輸出功率分佈。

圖2.10 高速脈衝雷射冷卻系統。

圖2.11 IDT X-stream 高速攝影機。

圖2.12 PIV 時序控制盒。

圖2.13 高速 PIV 系統整體配置圖。

圖 2.14 高速 PIV 雷射激發與影像曝光時序控制流程。

圖2.15 高速PIV量測系統與風洞設備配置。

圖 3.1 (a)混合層式渦漩垂直剖面之高速攝影連續影像,

Rew=2,051,R=0.08,Framing rate=3,000 fps,Exposure time=1/10,000 sec,(b)手繪剪流層渦漩結構空間衍化 示意圖。

3.2 混合層式渦漩沿 z 方向量測之速度分佈結果,

Rew=2,051, R=0.08 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.3 混合層式渦漩沿 z 方向量測之速度分佈結果,

Rew=2,872, R=0.08 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.4 混合層式渦漩沿 z 方向量測之速度分佈結果,

Rew=3,692, R=0.08 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.5 混合層式渦漩型態流場,於不同 z/d 位置之水平剖 面瞬時曝光照片,Rew=2,051,R=0.08,exposure time=1/10,000 sec。

圖 3.6 (a)向後滾轉渦漩垂直剖面之高速攝影連續影像,

Rew=2,051,R=0.21,Framing rate=3,000 fps,Exposure time=1/10,000 sec,(b)手繪剪流層渦漩結構空間衍 化示意圖。

3.7 向後滾轉渦漩沿 z 方向量測之速度分佈結果,

Rew=2,051, R=0.21 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.8 向後滾轉渦漩沿 z 方向量測之速度分佈結果,

Rew=2,872, R=0.21 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.9 向後滾轉渦漩沿 z 方向量測之速度分佈結果,

Rew=3,692, R=0.21 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.10 向後滾轉渦漩型態流場,於不同 z/d 位置之水平剖 面瞬時曝光照片,Rew=2,051,R=0.21,exposure time=1/10,000 sec。

圖 3.11 (a)向前滾轉渦漩垂直剖面之高速攝影連續影像,

Rew=2,051,R=0.37,Framing rate=3,000 fps,Exposure time=1/10,000 sec,(b)手繪剪流層渦漩結構空間衍 化示意圖。

3.12 向前滾轉渦漩沿 z 方向量測之速度分佈結果,

Rew=2,051, R=0.37 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方 向量測之速度分佈結果。

3.13 向前滾轉渦漩沿 z 方向量測之速度分佈結果,

Rew=2,872, R=0.37 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方 向量測之速度分佈結果。

3.14 向前滾轉渦漩沿 z 方向量測之速度分佈結果,

Rew=3,692, R=0.37 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方 向量測之速度分佈結果。

3.15 向前滾轉渦漩型態流場,於不同 z/d 位置之水平剖 面 瞬 時 曝 光 照 片 ,Rew=2,051, R=0.37, exposure time=1/10,000 sec。

圖 3.16 搖擺引致蕈狀渦漩垂直剖面之高速攝影連續影 像,Rew=2,051,R=0.56,Framing rate=2,500 fps,

Exposure time=1/10,000 sec。

圖 3.17 噴流出口區域搖擺引致蕈狀渦漩垂直剖面之高 速攝影連續影像與對應之手繪渦漩結構衍化示 意圖,Rew=2,051,R=0.56,Framing rate=2,500 fps,Exposure time=1/10,000 sec。

3.18 搖擺引致蕈狀渦漩沿 z 方向量測之速度分佈結果,

Rew=2,051, R=0.56 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.19 搖擺引致蕈狀渦漩沿 z 方向量測之速度分佈結果,

Rew=2,872, R=0.56 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.20 搖擺引致蕈狀渦漩沿 z 方向量測之速度分佈結果,

Rew=3,692, R=0.56 。 (a) 瞬 時 曝 光 照 片 (exposure time=1/10,000 sec) , (b) 長 時 曝 光 照 片 (exposure time=1/30 sec),(c),(d),(e)不同 x/d 位置沿 z 方向 量測之速度分佈結果。

3.21 搖擺引致蕈狀渦漩型態流場,於不同 z/d 位置之水 平剖面瞬時曝光照片,Rew=2,051,R=0.56,exposure time=1/10,000 sec。

圖 3.22 噴流型式渦漩垂直剖面之瞬時曝光照片與手繪 剪流層渦漩結構示意圖,Rew=2,051,R=1.26,

Exposure time=1/10,000 sec。

3.23 噴流型式渦漩沿 z 方向量測之速度分佈結果,

3.23 噴流型式渦漩沿 z 方向量測之速度分佈結果,