研究生: |
陳孟鈺 Chen Meng-Yu |
---|---|
論文名稱: |
旋轉對具不同肋條配置之渦輪機葉片內冷卻流道熱流場之影響(附錄:離心式風機流場特性之研究) Rotating Effects on Heat and Fluid Flows in a Simulated Turbine Blade Internal Cooling Passage with Various Rib Arrangements (Appendix: Flow Characteristics in a Centrifugal Fan) |
指導教授: |
劉通敏
Liou Tong-Miin |
口試委員: | |
學位類別: |
博士 Doctor |
系所名稱: |
工學院 - 動力機械工程學系 Department of Power Mechanical Engineering |
論文出版年: | 2002 |
畢業學年度: | 90 |
語文別: | 中文 |
論文頁數: | 225 |
中文關鍵詞: | 旋轉 、肋條 |
外文關鍵詞: | rotation, rib |
相關次數: | 點閱:2 下載:0 |
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轉動機械之工業用途很廣,然而因其內部流場之量測極為困難導致相關流場數據缺乏,設計上往往必須仰賴試誤法;又為避免局部熱應力集中,傳統熱電偶點式溫度數據量測宜以非干擾性之場式溫度場量測取代,以披露溫度場之不均勻性;本文旨在探討旋轉管道內之流體動力特性及熱傳增益與均勻性之問題:
本部份之研究利用LDV(雷射都卜勒測速法) 與TLCT(暫態液晶熱傳量測法)量測具90°肋條之二通路旋轉管道(模擬渦輪機葉片內冷卻流道)其紊流流場與熱傳分佈,另外亦量測管壁壓力分佈,探討旋轉效應、180度彎管與肋條配置對流場結構、熱傳增益以及壓損之影響。總共探討三種不同之肋條排列方式:貼壁式(attached)、非貼壁式(detached)與非貼壁/貼壁式(detached/attached),所有肋條為方形截面且非貼壁式肋條離壁面的間距與肋條高度比為0.38,而肋條高度與管道高度比以及肋條間距與肋條高度比分別為0.136與10,這些參數值之選定係依據先前靜止管道所歸納出之最佳值。熱傳實驗的雷諾數(Reynolds number)與旋轉數(Rotation number)分別介於2500~40000與0~0.8。實驗結果主要探討旋轉數對局部與平均紐賽數、平均速度、紊流動能、紊流頻譜與積分尺度、壓力係數分布以及摩擦係數之影響。藉由詳細的流場結構與熱傳分布的量測,已將旋轉效應明確的顯現出來。於非貼壁式肋條的實驗,有關壁面噴流與肋條上緣分離剪力層下衝流相互作用對熱傳增益與壓損之影響文中有詳細的探討。結果發現,非貼壁式肋條可有效的消除旋轉管道貼壁式肋條後緣所產生的局部熱點,於第一管道(徑向外流)之迎風壁(Leading wall)與第二管道(徑向內流)之背風壁(Trailing wall),較貼壁式肋條擁有較佳之熱傳係數,但是,於另外二個壁面則是相反的。另外,非貼壁式肋條相對於貼壁式肋條擁有較佳之熱傳均勻性,但是壓力損失較大。根據貼壁式與非貼壁式肋條之實驗結果,本文提出一較佳之肋條配置方式(非貼壁/貼壁式),可提供工程師於實際設計時的參考,其整體熱傳增益在定常質量流率(Constant flow rate)下可達Nup/Nu0 = 4.57,在定常輸送功率(Constant pumping power)下可達Nup/Nu0* = 2.58。對工程應用而言,在所變化之參數範圍內不論何種肋條配置方式,在第一管道與第二管道之迎風壁與背風壁的管道平均熱傳係數皆與旋轉數呈線性關係。另外,摩擦係數與旋轉數亦具有線性的關係,此可作為渦輪機葉片設計者的參考。另藉由紊動速度頻譜的量測可發現,於靜止下,規則性的渦流逸放(Vortex shedding)只發生在前二對肋條內,其逸放的頻率為520Hz,相對的史卓赫數(Strouhal number)為0.2,此值與先前學者有關靜態鈍體尾流之渦流逸放的結果相符合;而在旋轉狀態下(公開文獻中未曾有過旋轉管流之速度擾動頻譜量測),此渦流逸放的現象並沒有發生,因此渦流逸放在具離壁式肋條之旋轉管道熱傳增益方面並未扮演任何角色。本文之紊流積分尺度分析顯示在近第一通道迎風壁與背風壁的泰勒紊流時間積分尺度(Taylor integral time scale)分別隨旋轉數增加呈線性增加與減少,而積分時間尺度減少顯示紊流渦漩壽命減短,紊流混合增加,因此背風壁熱傳增益隨旋轉數增加而增加。
Rotating machines are widely encountered in industrial applications. However, it is very hard to measure their internal flow fields. As a result, the relevant fluid flow information is scarce in the open literature and their designs often rely on trial and errors. Moreover, although heat transfer results based on thermocouple readings have provided valuable information for reference, they gave actually regional averaged values instead of local values. In view of this fact, non-intrusive and full-plane heat transfer measurement techniques are preferred to reveal heat transfer inhomogeneity and in turn thermal stress concentration information in rotating coolant channels. This study is concerned with the characteristics of fluid flow as well as heat transfer enhancement and uniformity.
Transient thermochromic liquid crystal thermography (TLCT), a laser-Doppler velocimeter, and pressure transducers have been used to measure the local heat transfer, velocity, and pressure drop distributions, respectively, in a rotating two-pass square duct with 90° ribs on the leading and trailing walls. Three types of rib configurations are considered: attached, detached, and detached/attached rib cases. All ribs were square in cross-section and the ratio of detached-distance to rib-height was 0.38. The rib-height/duct-height ratio and the pitch/rib-height ratio were 0.136 and 10, respectively. These values of parameters were selected according to previous results of stationary coolant ducts. The duct Reynolds number was varied from 2500 to 40000 and rotation number ranged from 0 to 0.8 for heat transfer experiment. Results are presented of local and regional averaged Nusselt number, mean and turbulent velocity components, turbulent kinetic energy, pressure coefficient distributions and variation of friction factor with rotation number. For detached ribbed case, the competition between convection effect of the wall jet and downwash effect of the rib-top separated shear layer on the heat transfer augmentation is addressed in detail. Rib detachment is found to enhance heat transfer on the leading wall of the first outward pass and on the trailing wall of the second inward pass over as compared to the attached rib case. The trend is reversed on the other two walls. Nevertheless, detached ribs provide more uniform heat transfer distributions on the leading and trailing walls than attached ribs but higher pressure loss. According to the measured results of attached and detached ribbed cases, this study suggests a better rib configurations (detached/attached case) installed in the rotating internal coolant duct for practical reference of designing a turbine blade internal coolant channel. The case of detached/attached ribs can attain passage averaged heat transfer augmentation of Nup/Nu0 = 4.57 under a constant flow rate and Nup/Nu0* = 2.58 under a constant pumping power. For engineering reference, the passage averaged Nusselt number ratios on the leading and trailing walls of the first and second passes can be correlated as linear functions of rotation number for attached, detached, and detached/attached ribbed cases in the parameter range examined. Moreover, simple expressions are also developed to linearly correlate the friction factor with rotation number for smooth wall, attached, detached, and detached/attached ribbed cases. Power spectral analysis of the fluctuating velocity demonstrates that the vortex shedding only occurs behind the first two rib pairs for the stationary case. The predominant shedding frequency is 520 Hz correspond to a Strouhal number 0.2 which is in good agreement with the bluff-body wake flow results of the previous researchers. When the coolant duct is rotated, there is no predominant frequency can be found in the fluctuating velocity spectrum, suggesting that vortex shedding does not play a role in the heat transfer enhancement of rotating coolant duct. It should be pointed out that there are no measurements of fluctuating velocity power spectrum under rotating condition in the previous studies. The spectral analysis further indicates that the integral time scale near the leading and trailing walls increases and decreases linearly with increasing rotation number. A decrease in the turbulent integral time scale denotes a decrease in the lifetime of eddy breakup and, in turn, the enhancement of turbulent mixing or heat transfer. This observation provides the rationale for the increased heat transfer augmentation on the trailing wall of the first pass with increasing rotation number.
[1]. Archer, R. D., and Saarlas, M., 1996, An Introduction to Aerospace Propulsion, Prentice-Hall, Inc., USA.
[2]. Adda, 1997, Catalog of Adda Hypro Fan, Adda Corporation, Taiwan.
[3]. Hicks, T. G., and Edwards, T. W., 1971, Pump application engineering, McGraw-Hill, New York.
[4]. Brown, R. N., 1986, Compressors - Selection & Sizing, Gulf Pub. Co., Houston.
[5]. 江懷德,1993,送風機技術講座論文集,財團法人工業技術研究院能源與資源研究所。
[6]. Cohen, H., Rogers, G. F. C., and Saravanamuttoo, H. I. H., 1984, Gas Turbine Theory, second edition, Longman, England.
[7]. 邱勤山,胡世平,姜太倫 與 楊建裕,1994,流體機械,高立圖書有限公司。
[8]. Kiml, R., Mochizuki, S., and Murata, A., 1998, “Influence of the Gap Size between Side Walls and Ribs on the Heat Transfer in a Stationary and Rotating Straight Rib-Roughened Duct,” Proceedings of the 7th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, pp. 1701-1710.
[9]. Murata, A., Mochizuki, S., and Takahashi, T., 1999, “Local Heat Transfer Measurements of an Orthogonally Rotating Square Duct with Angled Rib Turbulators,” International Journal of Heat and Mass Transfer, 42, pp. 3047-3056.
[10]. Wagner, J. H., Hohnson, B. V., Graziani, R. A., and Yeh, F. C., 1992, “Heat Transfer in Rotating Serpentine Passages with Trips Normal to the Flow,” ASME Journal of Turbomachinery, 114, pp. 847-857.
[11]. Johnson, B. V., Wagner, J. H., Steuber, G. D., and Yeh, F. C., 1994, “Heat Transfer in Rotating Serpentine Passages with Trips Skewed to the Flow,” ASME Journal of Turbomachinery, 116, pp. 113-123.
[12]. Johnson, B. V., Wagner, J. H., Steuber, G. D., and Yeh, F. C., 1994, “Heat Transfer in Rotating Serpentine Passages with Selected Model Orientations for Smooth or Skewed Trip Walls,” ASME Journal of Turbomachinery, 116, pp. 738-744.
[13]. Parsons, J. A., Han, J. C., and Zhang, Y. M., 1994, “Wall Heating Effect on Local Heat Transfer in a Rotating Two-Pass Square Channel with 90° Rib Turbulators,” International Journal of Heat and Mass Transfer, 37, No.9, pp. 1411-1420.
[14]. Zhang, Y. M., Han, J. C., Parsons, J. A., 1995, “Surface Heating Effect on Local Heat Transfer in a Rotating Two-Pass Square Channel with 60° Angled Rib Turbulators,” ASME Journal of Turbomachinery, 117, pp.272-280.
[15]. Parsons, J. A., Han, J. C., and Zhang, Y. M., 1995, “Effect of Model Orientation and Wall Heating Condition on Local Heat Transfer in a Rotating Two-Pass Square Channel with Rib Turbulators,” International Journal of Heat and Mass Transfer, 38, No. 7, pp. 1151-1159.
[16]. Zhang, N., Chiou, J., Fann, S., and Yang, W. J., 1993, “Local Heat Transfer Distribution in a Rotating Serpentine Rib-Roughened Flow Passage,” ASME Journal of Heat Transfer, 115, pp. 560-567.
[17]. Fann, S., Yang, W. J., and Zhang, N., 1994, “Local Heat Transfer in a Rotating Serpentine Passage with Rib-Roughened Surfaces,” International Journal of Heat Mass Transfer, 37, No. 2, pp. 217-228.
[18]. Dutta, S., Han, J. C., and Lee, C. P., 1995, “Local Heat Transfer in a Rotating Two-Pass Ribbed Triangular Duct with Two Model Orientations,” International Journal of Heat and Mass Transfer, pp.708-715.
[19]. Dutta, S., and Han, J. C., 1996, “Local Heat Transfer in Rotating Smooth and Ribbed Two-Pass Square Channels with Three Channel Orientations,” ASME Journal of Heat Transfer, 118, pp. 578-584.
[20]. Acharya, S., Eliades, V., and Nikitopoulos, D. E., 2000, “Heat Transfer Enhancements in Rotating Two-Pass Coolant Channels with Profiled Ribs: Part 1- Average Results,” ASME Paper No. 2000-GT-0227.
[21]. Nikitopoulos, D. E., Eliades, V., and Acharya, S., 2000, “Heat Transfer Enhancements in Rotating Two-Pass Coolant Channels with Profiled Ribs: Part 2- Detailed Measurements,” ASME Paper No. 2000-GT-0226.
[22]. Hwang, G. J., Tzeng, S. C., Mao, C. P., and Soong, C. Y., 2001, “Heat Transfer in a Radially Rotating Four-Pass Serpentine Channel With Staggered Half-V Rib Turbulators,” ASME Journal of Heat Transfer, 123, pp.39-50.
[23]. Azad, G. S., Uddin, M. J., Han, J. C., Moon, H. K., and Glezer, B., 2001, “Heat Transfer in a Two-Pass Rectangular Rotating Channel with 45° Angled Rib Turbulators,” ASME Paper No. 2001-GT-0186.
[24]. Hsieh, S. S., and Hong, Y. J., 1995, “Heat Transfer Coefficients in an Orthogonally Rotating Duct With Turbulators,” ASME Journal of Heat Transfer, 117, pp.69-78.
[25]. Hsieh, S. S., and Liao, H. C., 2000, “Local Heat Transfer and Pressure Drop in a Rotating Two-Pass Ribbed Rectangular Channel,” Proceedings of the 8th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, 1, pp. 588-595.
[26]. Taslim, M. E., Rahman, A., and Spring, S. D., 1991, “An Experimental Investigation of Heat Transfer Coefficients in a Spanwise Rotating Channel with Two Opposite Rib-Roughened Walls,” ASME Journal of Turbomachinery, 113, pp.75-82.
[27]. Taslim, M. E., Bondi, L. A., and Kercher, D. M., 1991, “An Experimental Investigation of Heat Transfer in an Orthogonally Rotating Channel Roughened with 45 deg Criss-Cross Ribs on Two Opposite Walls,” ASME Journal of Turbomachinery, 113, pp346-353.
[28]. El-Husayni, H. A., Taslim, M. E., and Kercher, D. M., 1994, “Experimental Heat Transfer Investigation of Stationary and Orthogonally Rotating Asymmetric and Symmetric Heated Smooth and Turbulated Channels,” ASME Journal of Turbomachinery, 166, pp. 124-132.
[29]. Liou, T. M., Tzeng, Y. Y., and Chen, C. C., 1999, “Fluid Flow in a 180 deg Sharp Turning Duct With Different Divider Thickness,” ASME Journal of Turbomachinery, 121, pp. 569-576.
[30]. Liou, T. M., Chen, C. C., and Tsai, T. W., 2000, "Heat Transfer and Fluid Flow in a Square Duct with 12 Different Shaped Vortex Generators," ASME Journal of Heat Transfer, 122, pp. 327-335.
[31]. Ekkad, S. V., and Han, J. C., 1997, “Detail Heat Transfer Distributions in Two-Pass Square Channels with Rib Turbulators,” International Journal of Heat and Mass Transfer, 40, No.11, pp. 2525-2537.
[32]. Chyu, M. K., Ding, H., Downs, J. P., Van Sutendael, A., and Soechting, F. O., 1997, “Determination of Local Heat Transfer Coefficient Based on Bulk Mean Temperature Using a Transient Liquid Crystal Technique,” ASME Paper No. 97-GT-489.
[33]. Liou, T. M., Chen, C. C., and Chen, M. Y., 2001, “TLCT and LDV Measurements of Heat Transfer and Fluid Flow in a Rotating Sharp Turning Duct,” International Journal of Heat and Mass Transfer, 44, No.9, pp.1777-1787.
[34]. Liou, T. M., and Chen, C. C., 1999, “LDV Study of Developing Flows Through a Smooth Duct With 180-Deg Straight-Corner Turn,” ASME Journal of Turbomachinery, 121, pp.167-174.
[35]. Elfert, M., 1993, “The Effect of Rotation and Buoyancy on Flow Development in a Rotating Circular Coolant Channel,” 2nd International Symposium on Engineering Turbrlence Modeling and Measurements, May 31 – June 2, Florence, Italy.
[36]. Bons, J. P., and Kerrebrock, J.L., 1998, “Complementary Velocity and Heat Transfer Measurements in a Rotating Cooling Passage with Smooth Walls,” ASME Paper No. 98-GT-464.
[37]. Servouze, Y., 1998, “3D Laser Anemometry in a Rotating Cooling Channel,” ASME Paper No. 98-GT-123.
[38]. Chen, C. C., and Liou, T. M., 2000, “Rotating Effect on Fluid Flow in a Smooth Duct with a 180-Deg Sharp Turn,” The 45th ASME International Gas Turbine & Aeroengine Technical Congress, Munich, Germany. ASME Paper No. 2000-GT-228.
[39]. Cheah, S. C., Iacovides, H., Jackson, D. C., Ji, H., and Launder, B. E., 1996, ”LDA Investigation of the Flow Development through Rotating U-Ducts,” ASME Journal of Turbomachinery, 118, pp.590-596.
[40]. Tse, G. N., and Steuber, G. D., 1997, “Flow in a Rotating Square Serpentine Coolant Passage With Skewed Trips,” ASME Paper No. 97-GT-529.
[41]. Iacovides, H., Jackson, D. C., Kelemenis, G., Launder, B. E., and Yuan, Y. M., 1996, “LDA Study of the Flow Development Through an Orthogonally Rotating U-Bend of Strong Curvature and Rib Roughened Walls,” Engineering Turbulence Modeling and Experiments 3, pp. 561-570.
[42]. Iacovides, H., Jackson, D. C., Ji, H., Kelemenis, G., Launder, B. E., and Nikas, K., 1998, “LDA Study of the Flow Development Through an Orthogonally Rotating U-Bend of Strong Curvature and Rib Roughened Walls,” ASME Journal of Turbomachinery, 120, pp.386-391.
[43]. Iacovides, H., Jackson, D. C., Launder, B. E., and Yuan, Y. M., 1999, “An Experimental study of a Rib-Roughened Rotating U-Bend Flow,” Experimental Thermal and Fluid Science, 19, pp.151-159.
[44]. Hsieh, S. S., Chiang, M. H., and Chen, P. J., 1997, “Velocity Measurements and Local Heat Transfer in a Rotating Ribbed Two-Pass Square Channel with Uneven Wall Heat Flux,” ASME Paper No. 97-GT-160.
[45]. Prakash, C. and Zerkle, R., 1995, “Prediction of Turbulent Flow and Heat Transfer in a Ribbed Rectangular Duct With and Without Rotation,” ASME Journal of Turbomachinery, 177, pp. 255-264.
[46]. Iacovides, H. and Raisee, M., 1999, “Recent Progress in the Computation of Flow and Heat Transfer in Internal Cooling Passages of Turbine Blades,” International Journal of Heat and Fluid Flow, 20, pp. 320-328.
[47]. Jang, Y. J., Chen, H. C., and Han, J. C., 2000, “Flow and Heat Transfer in a Rotating Square Channel with 45° Angled Ribs by Reynolds Stress Turbulence Mosel,” The 45th ASME International Gas Turbine & Aeroengine Technical Congress, Munich, Germany, ASME Paper No. 2000-GT-0229.
[48]. Liou, T. M., Wang, W. B., and Chang, Y. J., 1995, ”Holographic Interferometry Study of Spatially Periodic Heat Transfer in a Channel with Ribs Detached from One Wall,“ ASME Journal of Heat Transfer, 117, pp.32-39.
[49]. Liou, T. M. and Wang, W. B., 1995, ”Laser Holographic Interferometry Study of Developing Heat Transfer in a Duct with a Detached Rib Array,” International Journal of Heat and Mass Transfer, 38, No.1, pp.91-100.
[50]. Wang, Z., Ireland, P. T., and Jones, T. V., 1995, “An Advanced Method of Processing Liquid Crystal Video Signals from Transient Heat Transfer Experiments,” ASME Journal of Turbomachinery, 117, pp.184-189.
[51]. Wang, Z., Ireland, P. T., Jones, T. V., and Davenport, R., 1996, “A Color Image Processing System for Transient Liquid Crystal Heat Transfer Experiments,” ASME Journal of Turbomachinery, 118, pp.421-427.
[52]. Durst, F., Melling, A., and Whitelaw, J.H., 1976, Principles and Practice of Laser-Doppler Anemometry, Academic Press, New York.
[53]. Chang, S. W., 1995, “An experimental study of heat transfer in the cooling passages of gas turbine rotor blades”, Doctoral dissertation, Department of Mechanical Engineering, University of Wales, Swansea, UK.
[54]. Chang, S. W. and Morris, W. D., 1998, “A comparative study of heat transfer between rotating circular smooth-walled and square rib-roughened ducts with cooling application for gas turbine rotor blade”, JSME International Journal, Series B, 41, pp. 302~315.
[55]. Schabacker, J., Bolcs, A., and Johnson, B. V., 1998, “PIV Investigation of the Flow Characteristics in an Internal Coolant Passage with Two Ducts Connected by a Sharp 180° Bend,” ASME Paper No. 98-GT-544.
[56]. Schabacker, J., Bolcs, A., and Johnson, B. V., 1999, “PIV Investigation of the Flow Characteristics in an Internal Coolant Passage with 90deg rib-arrangement,” 3rd European Conference on Turbomachinery-Fluid Dynamics and Thermodynamics, 2-5 March, London, UK.
[57]. Jang, Y. J., Chen, H. C., and Han, J. C., 2000, “Numerical Prediction of Flow and Heat Transfer in a Two-Pass Square Channel with 90° Ribs,” Proceedings of the 8th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Honolulu, Hawaii, 1, pp. 580-587.
[58]. Kreith, F., and Bohn, M. S., 1993, Principles of Heat Transfer, 5th ed, West Publishing Company, Singapore.
[59]. Tennekes, H. and Lumley, J. L., 1972, A First Course in Turbulence, MIT Press, Cambridge, Massachusetts.
[60]. Yao, M., Nakatani, M., and Suzuki, K., 1995, “Flow Visualization and Heat Transfer Experiments in a Turbulent Channel Flow Obstructed with an Inserted Square Rod,” International Journal of Heat and Fluid Flow, 16, pp.389-397.
[61]. Hinze, J. O., 1959, Turbulence, McGraw-Hill, New York.
[62]. Bearman, P. W., and Zdravkovich, M. M., 1978, “Flow Around a Circular Near a Plane Boundary,” Journal of Fluid Mechanical, 89, pp.33-47.
[63]. Taniguchi, S., and Miyakoshi, K., 1990, “Fluctuating Fluid Forces Acting on a Circular Cylinder and Interference with a Plane Wall,” Experiments in Fluids, 9, pp.197-204.
[64]. Ekkad, S. V., and Han, J. C., 1997, “Detailed Heat Transfer Distributions in Two-pass Square Channels with Rib Turbulators,” International Journal of Heat and Mass Transfer, 40, No.11, pp.2525-2537.
[65]. Han, J. C., 2001, “Gas Turbine Heat Transfer and Cooling Technology,” Proceedings of 35th National Heat Transfer Conference, Anaheim, California, USA.
[66]. Johnson, B. V., Wagner, J. H., and Steuber, G. D., 1991, “Effects of Rotation on Coolant Passage Heat Transfer-Volume II Coolant Passages with Trips Normal and Skewed to the Flow,” NASA Contractor report 4396, pp.103-108.
[67]. Bammert, K., and Sandstede, H., 1976, “Influence of Manufacturing Tolerances and Surface Roughness of Blades on the Performance of Turbines,” Journal of Engineering for Power, 98, pp.29-36.
[68]. Liou, T. M., Chen, C. L., Chen, M. Y., and Lee, H. L., 2000, “Experimental Study on Performance Augmentation of an Industrial Centrifugal Fan,” The Chinese Journal of Mechanics, Series B, 16, No.1, pp.11-18.
[69]. Wright, T., Madhavan, S., and DiRe, J., 1984, “Centrifugal Fan Performance with Distorted Inflows,” ASME Journal of Engineering for Gas Turbines and Power, 106, pp.895-900.
[70]. Gessner, F. B., 1967, “An Experimental Study of Centrifugal Fan Inlet Flow and its Influence on Fan Performance,” ASME Paper No. 67-Fe-21.
[71]. Raj, D., and Swim, W. B., 1981, Measurements of the Mean Flow Velocity and Velocity Fluctuations at the Exit of an FC Centrifugal Fan Rotor, ASME Journal of Engineering for Power, 103, pp. 393-399.
[72]. Kind, R. J., and Tobin, M. G., 1990, Flow in a Centrifugal Fan of the Squirrel-Cage Type, ASME Journal of Turbomachinery, 112, pp. 84-90.
[73]. Shepherd, I. C., and La Fontaine, R. F., 1993, “Mapping the velocity field in a centrifugal fan using particle image velocity,” Journal of Wind Engineering and Industrial Aerodynamics, 50, pp.373-382.
[74]. Cheng, K. C., and Yuen, F. P., 1985, “Flow Visualization Studies on Secondary Flow Patterns at the Outlet and in the Downstream Region of a Centrifugal Blower,” 1st International Symposium on Transport Phenomena, Honolulu, Hawail.
[75]. Chen, P., Nayagam, M. S., Bolton, A. N., and Simpson, H. C., 1996, “Unstable Flow in Centrifugal Fans,” ASME Journal of Fluids Engineering, 118, pp.128-132.
[76]. Nakayama, Y., Yamamoto, T., Aoki, K., and Hiroaki, O., 1985, Measurement of Relative Velocity Distribution in Centrifugal Blower Impeller, Bulletin of JSME, 28, No. 243, pp. 1978-1985.
[77]. Kjork, A., and Lofdahl, L., 1989, Hot Wire Measurements Inside a Centrifugal Fan Impeller, ASME Journal of Fluids Engineering, 111, pp. 363-368.
[78]. Air Movement and Control Association, Inc., 1985, Publication 210-85, Laboratory Method of Testing Fans for Rating, American National Standard.
[79]. Bradshaw, P., 1969, The analogy between streamline curvature and buoyancy in turbulent shear flow, J. Fluid Mech., 36, pp. 177-199.
[80]. Majidi, K. and Siekmann, H. E., 1996, Calculation of Secondary Flow in a Centrifugal Pump Using 3D Viscous Flow Computation Techniques, Proceedings of the 6th International Symposium on Transport Phenomena and Dynamics of Rotating Mechinery, 2, pp. 306-316.
[81]. White, F. M., 1991, Viscous Fluid Flow, McGraw-Hill, New York.
[82]. Brownell, R. B., Flack, R. D., and Kostrzewsky, G. J., 1985, Flow Visualization in the Tongue Region of a Centrifugal Pump, The Journal of Thermal Engineering, 4, pp. 35-45.