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研究生: 葉泳蘭
Yeh, Yung-Lan
論文名稱: 平面噴流在長波激擾下之渦流結構交互作用探討
On the Interactions of Vortical Structures of a Plane Jet under Long-wave Excitation
指導教授: 江志煌
Chiang, C. H.
許掙強
Hsu, C. C.
蕭飛賓
Hsiao, F. B.
學位類別: 博士
Doctor
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2009
畢業學年度: 97
語文別: 英文
論文頁數: 235
中文關鍵詞: 平面噴流渦流結構擺盪特性雙頻激擾長波激擾
外文關鍵詞: vortical structure, plane jet, long-wave excitation, bi-modal, flapping motion
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  • 為控制與影響等勢核末端之後流場之結構,本研究以熱線測速器量測及流場觀測之實驗方法探討低速平面噴流在反對稱低頻激擾下之渦流結構特性。擾動設備為裝置於噴嘴出口上下的兩片金屬平板,以出口風速及出口寬度為特徵長度之雷諾數為8.2103。因在下游區所誘發的渦流波長尺度較初始動量厚度或不穩定波之尺度大至少兩個尺度以上,所以此類激擾又可稱為長波激擾。雖然長波激擾對下游區之相干性結構演變有顯著的影響,但在近場區卻有著與自然噴流相似的流場結構。因激擾使得勢流區末端之後的噴流擺盪特性被增強,所以激擾噴流的擴展特性被顯著的提升。能量頻譜中顯示遠場區只有激擾頻率及其倍頻具有較高的能量,搭配流場觀測結果顯示遠場區的渦流結構為大尺度且為非對稱模態。為探討相干性在空間上的演變特性,所以本研究以實驗髮量測渦流傳遞速度,其結果顯示在近場之值與理論值相同,因為渦流模態在遠場區會轉變成接近反對稱之激擾模態大尺度渦流,所以其傳遞速度會降低至一穩定值,且其值會相當接近該位置之局部平均速度(0.35 )。根據頻譜及渦流傳遞速度,經換算後可得渦流之空間尺度且其尺度與流場觀測之結果相當類似,且亦證實了長波激擾確實在下游區會誘發出大尺度的渦流結構,這樣的渦流結構發生的位置並會隨著激擾頻率降低而往下游移動。
    為探討渦流模態的演變,本研究以雙頻激擾的方式同時強化上游具主頻特徵及下游具激擾頻率特徵的渦流模態。一系列廣泛的平均流場量測用於分析同時受到聲波及長波激擾影響之平面噴流流場,整個相干性結構的發展則由頻譜分析及不穩定模態演變進行確認。結果將由不同激擾條件進行比較與分析,其顯示自然噴流中之顯著頻率模態被低頻激擾模態抑制,而且整個噴流由上游基頻模態發展到下游激擾模態的相關性因非線性交互關係所以並不大。
    最後,下游區具備激擾頻率特徵之大尺度相干性結構的發展與交互作用則是利用相位平均法加以分析與討論,大尺度渦流結構位置主要由相位平均之紊流強度及剪應力判定,由渦流中心隨時間的空間位置所計算得到的渦流傳遞速度之值與平均量測所得之值相符。結果指出下游區大尺度渦流的存在確為造成擴展增加的主要原因。本研究亦由相位平均量測中所得隨時間演變之速度分佈圖提出噴流-渦流系統之模型,藉此便可以完整解釋中心線擺動主要原因。儘管在所量測與觀測區域中在不同激擾頻率有不同的渦流結構,較低的激擾頻率所誘發的大尺度渦流會在更下游的位置形成,所以量測區域內噴流擴展特性在較低頻率的增加主要由上下劇烈振動所造成。

    In order to control and influence the far field flow structures, the vortical characteristics of a low-speed plane jet under anti-symmetric low-frequency excitation are well investigated experimentally by means of hot-wire anemometric measurements and smoke flow visualization. The jet flow velocity in the exit can be operated in the range of =0~15m/sec with the turbulence intensity below 0.9% of the center velocity. However, the jet is normally operated at 10m/sec for most of experiments, which has the corresponding Reynolds number of 8.2103 based on the nozzle exit width of 12mm. The perturbations for flow excitation are introduced with two oscillating mental strips which are flush mounted right at the nozzle exit, and five kinds of excitation frequencies are conducted, which are 5, 7.5, 10, 12.5 and 15Hz. The excitation frequency can be controlled by changing the rotating speed of the servo motor and is monitored by an optical tachometer. The excitation mode is anti-symmetric with the jet center and the excitation amplitude is fixed at 1mm. The mean velocity and the fluctuation intensity are obtained by long-time averaging calculations. In addition, because the wavelength of the oscillating perturbations is larger than the initial momentum thickness and initial instability wavelength at least two orders of magnitude, this kind of excitation method can be claimed as long-wave excitation.
    The basic flow properties of the natural plane jet are firstly examined. The results of the initial Strouhal number, based on the initial momentum thickness, initial instability frequency and jet exit velocity are well fitted with the theoretical value of a laminar jet flow. In addition, the values of shape factor in the initial shear layers of the jet exit are all below 2.5, indicating that the jet flow properties are initially laminar in the jext exit. In addition, the velocity profile near the jet exit is a top-hat shape and will become bell-shape after end of the potential core where the flow has gradually transformed into turbulent in the downstream. The mixing and spreading characteristics have slight influence under different exit velocities.
    The spatial developments of the jet flow under long-wave excitation will be spread out from the experimental data of mean velocity distributions and spectral evolution. The experimental results further indicate that the evolution of coherent structures is significantly influenced by long-wave excitation in the downstream, but it is similar to the natural jet in the near field. The spreading properties are influenced obviously due to the enhancement of the jet flapping motion after the end of potential core. Only the excitation frequency and its harmonics are observed in the far field region and the vortical structures at this region are of large-scale and in asymmetric mode. Results of convective speed show that the value in the near field fitted with the theoretical value of . The initial vortical mode will change to the near anti-symmetric, low-frequency excitation mode in the far field (x/H>9) and its convective speed will decrease to a fixed value of about 35% of and similar to the value of local velocity. Results of spectrum and convective speed indicate that the spatial scales of vortices can be easily obtained and agreeable with the data from the flow visualization. It also reveals that there are induced large-scale vortices in the downstream under long-wave excitation. The occurrence locations of these kinds of vortical structures will move to downstream when the excitation frequency decreases.
    According to the evolution study of vortical structures, a serious of extensive mean velocity results is proposed to analyze the influence of acoustic excitation in the near field. The developments of coherent structures are identified by the spectral and instability evolutions. Finally, the general comparison for all excitation cases is addressed and the results indicate that the preferred mode frequency is suppressed by the low-frequency excitation mode and the developments of fundamental and low-frequency excitation modes are less dependent due to their nonlinear interactions.
    The phase-averaged technique is employed to analyze the developments and interactions of large-scale coherent structures in the far field which possess the features of excitation frequency mode. The developments of large-scale vortical structures are calculated by the locations of vortex cores obtained from the phase-averaged fluctuation intensity and shear stress. When the spatial locations of large-scale vortices vary with time, the averaged convective speed obtained is very much similar with the data from the previous measuring results. It also shows that the occurrence of lager-scale vortices in the far field is a primary cause of huge increment of spreading. This study also proposes a vortex-jet system model to well explain the centerline vibration. In spite of having two different kinds of vortical structures after the end of potential core when and , the results also indicate the induced large-scale vortex will take place over the measuring domain. Therefore, the increment of spreading when is mainly caused by the strong oscillation up and down.

    ABSTRACT IN CHINESE………………………………… i ABSTRACT……………………………………………….... xiv ACKNOWLEDGEMENT…………………………………. xviii CONTENTS………………………………………………… xix LIST OF TABLES…………………………………………. xxiii LIST OF FIGURES………………………………………… xxiv NOMENCLATURE………………………………………… xxxii Chapter page I. INTRODUCTION 1 1.1 Plane Jets and Excited Jets 1 1.2 Spatial Characteristics of Vortical Structures 6 1.3 Motivations and Objectives 8 1.4 Dissertation Overview 11 II. EXPERIMENTAL FACILITIES AND DATA PROCESSING 12 2.1 Plane Jet Wind-tunnel 12 2.2 Equipment of Long-wave Forcing 12 2.3 Flow Field System 13 2.4 Experimental Instrumentations 14 2.3.1 Pitot Tube and Pressure Transducer 14 2.3.2 Hot-wire Anemometer 14 2.3.3 Visualization 15 2.5 Data Processing 15 2.5.1 Pitot Tube and Hot-Wire Anemometer Calibration 15 2.5.2 Long-time Averaging and Ensemble Phase-averaged 16 2.5.3 Convective Speed 17 2.5.4 Experimental Error Analysis 19 III. BASIC FLOW PROPERTIES OF THE NATURAL JET 21 3.1 Basic Flow Conditions and Measurements 21 3.2 Effects of Reynolds Number 24 3.3 Consistency and Uncertainty 25 IV. SPATIAL DEVELOPMENT OF PLANE JET UNDER LONG-WAVE EXCITATION 27 4.1 Visualizations on the Interactions of Vortical Structures 27 4.1.1 Comparisons of Vortical Structures of Plane Jet with/without Long-wave Excitations 27 4.1.2 Cyclic Behaviors of Large-scale Coherent Structures of Plane Jet Enhanced by Long-wave Excitation 29 4.2 The Behaviors of Flow Field of Plane Jet under Long-wave Excitations 32 4.2.1 The Definition of Flow Field Regimes 32 4.2.2 Mean and Fluctuation Velocity Profiles at Various Flow Regimes 33 4.2.3 Mixing and Spreading Properties at Various Flow Regimes 36 4.3 The Temporal and Spatial Characteristics of Vortical Structures at Various Flow Regimes under Long-wave Excitation 39 4.3.1 Energy Spectrum Evolutions of Vortical Structures 39 4.3.2 Spatial Evolutions of Convective Speed 44 4.3.3 Length-scale Variations of Vortical Structure 46 4.4 Interim Remarks 47 V. ENERGY SPECTRUM EVOLUTIONS OF INSTABILITY WAVES UNDER TWO MODES EXCITATION 49 5.1 Enhancement of Fundamental and Forcing Modes by Bi-modal Excitation 49 5.2 Mean and Fluctuation Velocity Field under Bi-modal Excitation 52 5.2.1 Mean and Fluctuation Velocity Profiles at Various Flow Regimes 52 5.2.2 Mixing and Spreading Properties at Various Flow Regimes 54 5.3 Vortical Structures Developments under Bi-modal Excitation 55 5.3.1 Evolutions of Flow Field Instabilities Modes 55 5.3.2 Energy Spectrum Evolutions at Various Flow Regimes 57 5.4 Interim Remarks 58 VI. PHASE-AVERAGED ORGANIZED COHERENT STRUCTUES IN THE FAR FIELD UNDER LONG-WAVE EXCITATION 60 6.1 Definition and Relations 61 6.2 Validations of Vortical Structures by Phase Averaging Data Processing 63 6.3 Coherent Structures of Long-time Averaging in the Far-field under Long-wave Excitation 64 6.4 Mechanism of Flapping Motion of Vortical Structures in the Far-field under Long-wave Excitation 66 6.5 The Physical Model of Vortical Motions Introduced by Long-wave Excitation 73 6.6 Interim Remarks 78 VII. CONCLUSIONS AND PERSPECTIVE 81 7.1 Concluding Remarks 81 7.2 Perspective Improvements 84 REFERENCES 87 TABLES 96 FIGURES 98 VITA 231 PUBLICATION LIST 233

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