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研究生: 阮志強
Cuong, Nguyen Chi
論文名稱: 微系統中螺旋溝槽空氣軸封分析
Analysis of Spiral-Grooved Mechanical Face Seals in Microsystems
指導教授: 李旺龍
Li, Wang-Long
學位類別: 碩士
Master
系所名稱: 工學院 - 奈米科技暨微系統工程研究所
Institute of Nanotechnology and Microsystems Engineering
論文出版年: 2012
畢業學年度: 100
語文別: 英文
論文頁數: 113
外文關鍵詞: Gas face seal, micro-scale effect, spiral groove, modified molecular gas lubrication, Knudsen number, tangential momentum accommodation coefficient
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  • The gas film face seal (GFFS) is widely used in applications of high speed turbomachinery. The improved spiral-grooved gas film face seal (SGGFFS) possesses a high pressure of gas film in maintained non-contacting face seal, reduces the leakage efficiently. In this research, the performance of SGGFFS is firstly discussed in micro systems. The gas rarefaction effects are significantly considered on sealing performance with two important parameters as the Knudsen number, and accommodation coefficients, (ACs). The small variation in gas film thickness and pressure are substituted into the modified molecular gas lubrication (MMGL) equation for linearized analysis. The Poiseuille and Couette flow rate correctors are added in the MMGL equation to expand the lubrication theory with the arbitrary and ACs parameters. Then the linearized MMGL equation is solved by finite element method, load capacity and dynamic coefficients are obtained by integration the dynamic pressure over the sealing interfaces. Finally, the numerical results predict the influence of geometric and operational conditions on the seal performance and the load capacity and dynamic coefficients of micro-gas film seal are investigated under the influence of gas rarefaction effect with basic operation conditions.

    ACKNOWLEDGEMENTS I ABSTRACT II MOTIVATION III TABLE OF CONTENTS IV LIST OF TABLES VII LIST OF FIGURES VIII LIST OF NOMENCLATURE XV CHAPTER ONE INTRODUCTION 1 Research Background 1 Active and Objective 4 1.1 Introduction about Mechanical Face Seals 4 1.1.1 The Factor effect on the Sealing performance 5 1.1.2 The Operation Principle of Mechanical Gas Face Seals 6 1.1.3 The distribution of spiral groove gas film face seal 7 1.2 Mechanics of Gas Sealing in Microsystem 10 1.3 The rarefaction effect and modified molecular gas lubrication equation 12 1.3.1 Rarefaction effect consider on the Knudsen number and Accommodation Coefficient AC 12 1.3.2 Rarefaction effect is applied in the modified molecular gas lubrication equation. 14 CHAPTER TWO THEORETICAL MODEL 18 2.1 Consider the factor effect on sealing performance 18 2.2 Solution for Fluid Pressure Distribution 19 2.2.1 Principle of mass conservation and continuity equation 19 2.2.2 NAVIER-STOKES equations 21 2.2.3 Mean Free Path and the Knudsen Number 23 2.3 The governing equation with compressible Reynolds equation 25 2.3.1 The contribution of Tangential Momentum Accommodation Coefficient 31 2.3.2 Full Database for the Couette flow rate and Poiseuille flow 34 2.4 The application of MMGL equation to SGGFFS 35 2.4.1 Considering on the complexity geometry of the spiral-groove Face Seal 35 2.4.2 The expansion the MMGL equation with film thickness and gas pressure variation. 38 2.4.3 The expansion MMGL with the zero and first-order equation 39 2.4.4 Taking with the Laplace Transformation 41 2.5 Modeling for load capacity and dynamic coefficients of gas film face seal 47 CHAPTER THREE NUMERICAL METHOD 51 3.1 Introduction for numerical method in analysis SGGFFS 51 3.2 The characteristic of spiral groove gas film face seal in COMSOL 53 CHAPTER FOUR RESULTS AND DISCUSSION 56 4.1 The investigation effect of operation conditions 57 4.1.1 The Effect of Bearing Number 57 4.1.2 Effect of the inverse Knudsen Number D0 62 4.2 The investigation effect of geometric conditions 72 4.2.1 Effect of groove depth ratio with various bearing number 72 4.2.2 Effect of groove depth ratio with various the tilt angles 80 4.2.3 The optimal groove depth ratio investigation 84 4.3 Effect of gas rarefaction on the load capacity of SGGFFS 90 4.4 Effect of gas rarefaction on the dynamic coefficients of SGGFFS 96 CHAPTER FIVE CONCLUSION AND SUGGESTIONS 108 REFERENCES 110

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