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研究生: 張維哲
Chang, Wei-Che
論文名稱: 轉彎效應對平滑壁面正方形雙通道之紊流統計參數與熱流相關性影響之實驗研究
Experimental Studies of 180-Deg Sharp Turn Effect on Turbulence Statistics and Thermal-Fluidic Correlations in a Smooth Square Duct
指導教授: 劉通敏
Liou, Tong-Miin
口試委員: 林呈
Lin, Cheng
吳興茂
Wu, Shing-Maw
學位類別: 碩士
Master
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: 2018
畢業學年度: 106
語文別: 英文
論文頁數: 197
中文關鍵詞: 質點影像測速儀紅外線測溫儀180度銳轉正方形通道紊流統計參數相關係數熱流相關性
外文關鍵詞: PIV, Infrared Thermography, 180-Deg Sharp Turn Square Duct, Turbulence Statistics, Pearson Correlation Method, Thermal-Fluidic Correlation
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  • 本研究分別使用質點影像測速儀(Particle Image Velocimetry)與紅外線測溫儀(Infrared Thermography)量測一渦輪機葉片中180度銳轉平滑壁面正方形冷卻雙通道的紊流場結構與壁溫分布。雷諾數(Reynolds number)在量測紊流場結構時訂於5300;而在量測壁溫分布時,雷諾數則從5000變化至20000。除了平均速度(U_st, U_sp, and U_ver)與紊動速度(u_st, u_sp, and u_ver)之外,本研究將會探討轉彎效應對於紐賽數比(Nu⁄〖Nu〗_∞ )和高階紊流統計參數的影響,其中高階紊流統計參數包含雷諾剪應力((u_st u_sp ) ̅, and (u_sp u_ver ) ̅)、紊流動能(k)、歪斜度(S)、平坦度(F)、紊流時間與長度尺度(τ_st, τ_sp, τ_ver, and λ_ver)、紊流能量頻譜(E)、以及紊流動能產生項。
    研究結果顯示在轉彎區到轉彎後一倍水力直徑之間,F會隨著S的上升而下降,反之亦然,此結果並未見於先前單通道的文獻。除此之外,透過一維的時間頻譜分析可以發現在轉彎區正中央的剪力層上有一260Hz的主頻(Predominant Frequency)。利用流場可視化可以發現此主頻與剪力層上渦旋的產生頻率相符合。而與此渦旋相關的τ_sp側向分布也被進一步的發現與轉彎區的Nu⁄〖Nu〗_∞ 側向分布有著高度相關性。
    透過相關係數(Pearson Product-Moment Correlation)的計算,本研究可以定量的分析出與Nu⁄〖Nu〗_∞ 有著高度、中度、和低度相關性的流力參數,分別為平均渦度大小((|ω| ) ̅)、(√((〖U_st〗^2+〖U_sp〗^2)), u_sp, u_ver, k, (u_sp u_ver ) ̅, τ_sp, and τ_ver)、和(U_ver, u_st, (u_st u_sp ) ̅, S, F, τ_st, λ_ver)。根據以上結果,本研究首先提出一描述本180度銳轉平滑壁面正方形雙通道中(|ω| ) ̅和Nu⁄〖Nu〗_∞ 之關係的經驗公式。


    Turbulent flow structures and heat transfer in a 180-deg sharp turning two-pass internal coolant passage of a turbine blade are investigated experimentally by particle image velocimetry (PIV) and infrared thermography (IRT) techniques. The coolant passage has a square cross-section and smooth wall. The Reynolds number (〖Re〗_b) based on bulk mean velocity (U_b) and duct hydraulic diameter (D_H) for PIV and IRT measurements are respectively 5300 and 5000-20000. In addition to the mean velocity (U_st, U_sp, and U_ver) and fluctuating velocity (u_st, u_sp, and u_ver), the turn effects on the Nusselt number ratio (Nu⁄〖Nu〗_∞ ) and spanwise distributions of high-order turbulence statistics including Reynolds shear stresses ((u_st u_sp ) ̅, and (u_sp u_ver ) ̅), turbulent kinetic energy (k), skewness factor (S), flatness factor (F), integral scale (τ_st, τ_sp, τ_ver, and λ_ver), energy spectrum (E), and production term of turbulent kinetic energy are explored in the present study.
    The results show that F in between the pre-turn and post-turn 1D_H decreases with increasing S and vice versa, which has not been previously reported for single-pass duct flow. Meanwhile, from both 1-D longitudinal and spanwise temporal spectra, a predominant frequency of 260Hz is spotted at the divider tip shear layer and qualitatively verified by flow visualization. As a relevant parameter of shedding vortex, the spanwise profiles of τ_sp are further found to be in strong correlation with the spanwise Nu⁄〖Nu〗_∞ distributions.
    Using Pearson product-moment correlation, the present study is capable of quantitatively identifying the highly, moderately, and weakly correlated fluid flow parameters on Nu⁄〖Nu〗_∞ as mean vorticity magnitude ((|ω| ) ̅), (√((〖U_st〗^2+〖U_sp〗^2)), u_sp, u_ver, k, (u_sp u_ver ) ̅, τ_sp, and τ_ver), and (U_ver, u_st, (u_st u_sp ) ̅, S, F, τ_st, λ_ver), respectively. Based on these parameters, an empirical correlation formula between (|ω| ) ̅ and Nu⁄〖Nu〗_∞ in the present two-pass smooth square duct with 180-deg sharp turn is proposed for the first time.

    List of Tables iv List of Figures v List of Symbols xii Chapter 1 Introduction 1 1-1 Preliminary Remark 1 1-2 Literature Survey 2 1-2-1 Flow Field for Fully Developed Single Pass Channel/Pipe 2 1-2-2 Flow Field for Curved Channel/Pipe 6 1-2-3 Flow Field for U-Bend 8 1-2-4 Flow Field for 180-Deg Sharp Turning Duct 12 1-2-5 Heat Transfer in 180-Deg Sharp Turning Smooth Square Duct 15 1-2-6 Relation between Fluid Flow Parameters and Heat Transfer in 180-Deg Sharp Turning Smooth Square Duct 17 1-3 Objectives 19 Chapter 2 Experimental Apparatus and Conditions 31 2-1 Experimental Apparatus in Flow Field Measurement 31 2-1-1 Particle Seeding System 31 2-1-2 Laser System 33 2-1-3 Image Capture System 33 2-1-4 Data Processing System 34 2-2 Experimental Apparatus in Heat Transfer Measurement 35 2-2-1 Infrared Camera System 35 2-2-2 Thermocouple System 36 2-3 Test Model 36 2-3-1 Test Model for PIV Measurement 36 2-3-2 Test Model for IRT Measurement 37 2-4 Experimental Conditions 38 Chapter 3 Data Processing and Uncertainty Analysis 51 3-1 Mean Flow and Turbulence Statistics 51 3-2 Nusselt Number 53 3-3 Correlations between Heat Transfer and Flow Field Parameters 55 3-4 Uncertainty Analysis 57 3-4-1 Uncertainty Analysis for Flow Field Measurement 57 3-4-2 Uncertainty Analysis for Heat Transfer Measurement 58 Chapter 4 Results and Discussion 65 4-1 Fully Developed Flow in Smooth Square Duct 65 4-1-1 Streamwise Mean Velocity 65 4-1-2 Fluctuating Velocity and Reynolds Stress 67 4-1-3 Skewness Factor and Flatness Factor 68 4-1-4 Two-Point Correlation (Spatial Correlation) 69 4-1-5 Autocorrelation (Temporal Correlation) 71 4-1-6 One-Dimensional Wavenumber Spectra 72 4-1-7 Frequency Spectra 74 4-1-8 Energy Budget of Turbulent Kinetic Energy 75 4-2 Mean Flow Structure in 180-Deg Sharp Turning Smooth Square Duct 76 4-2-1 Evolution of Mean Velocity 76 4-2-2 Cross-Section Secondary Flow Patterns 78 4-3 Mean Velocity and Turbulence Statistics on Y* = 0 Plane 79 4-3-1 Mean Velocity 80 4-3-2 Fluctuating Velocity 82 4-3-3 Reynolds Shear Stress 85 4-3-4 Skewness Factor 86 4-3-5 Flatness Factor 89 4-3-6 Temporal Integral Scale 91 4-3-7 Frequency Spectrum 93 4-3-8 Production Term of Energy Budget 96 4-4 Heat Transfer Measurement Results 98 4-4-1 Heat Transfer Features in a 180-Deg Sharp Turning Smooth Square Duct 99 4-4-2 Evolution of Heat Transfer Enhancement before and after the Turn 100 4-4-3 Relations between Heat Transfer and Near-Wall Turbulence Statistics 101 4-5 Quantitative Analysis of Heat Transfer and Flow Field 105 4-5-1 Correlation between Nusselt Number and Turbulence Statistics 105 4-5-2 Regression Analysis between Nusselt Number and Vorticity 110 Chapter 5 Conclusions and Recommendations 178 5-1 Conclusions 178 5-2 Contributions 182 5-3 Future Recommendations 183 Appendix A Development of Turbulent Duct Flow 185 Appendix B Dimensional Analysis of Vorticity 189 References 192

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