請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/88501完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 葛煥彰 | zh_TW |
| dc.contributor.advisor | Huan-Jang Keh | en |
| dc.contributor.author | 蔡旻叡 | zh_TW |
| dc.contributor.author | Min-Jui Tsai | en |
| dc.date.accessioned | 2023-08-15T16:35:06Z | - |
| dc.date.available | 2023-11-09 | - |
| dc.date.copyright | 2023-08-15 | - |
| dc.date.issued | 2023 | - |
| dc.date.submitted | 2023-08-01 | - |
| dc.identifier.citation | Basset A B 1888 A Treatise on Hydrodynamics vol 2 (Cambridge: Deighton, Bell and Co.)
Chang Y C and Keh H J 2009 Translation and rotation of slightly deformed colloidal spheres experiencing slip J. Colloid Interface Sci. 330 201-210 Chang Y C and Keh H J 2012 Creeping-flow rotation of a slip spheroid about Its axis of revolution Theor. Comput. Fluid Dyn. 26 173-183 Chen L S and Keh H J 1992 The slow motion of coaxial droplets along their line of centers J. Chinese Inst. Chem. Engrs. 23 53-66 Chen S H and Keh H J 1995 Axisymmetric motion of two spherical particles with slip surfaces J. Colloid Interface Sci. 171 63-72 Choi C H, Ulmanella U, Kim J, Ho C M and Kim C J 2006 Effective slip and friction reduction in nanograted superhydrophobic microchannels Phys. Fluids 18 087105 Chou C Y and Keh H J 2021 Slow rotation of a spherical particle in an eccentric spherical cavity with slip surfaces Eur. J. Mech. B 86 150-156 Cottin-Bizonne C, Steinberger A, Cross B, Raccurt O and Charlaix E 2008 Nanohydrodynamics: the intrinsic flow boundary condition on smooth surfaces Langmuir 24 1165-1172 Felderhof B U 1977 Hydrodynamic interaction between two spheres Physica 89A 373-384 Gluckman M J, Pfeffer R and Weinbaum S 1971 A new technique for treating multi-particle slow viscous flow: axisymmetric flow past spheres and spheroids J. Fluid Mech. 50 705-740 Happel J and Brenner H 1983 Low Reynolds Number Hydrodynamics (Dordrecht, Netherlands: Nijhoff) Hutchins D K, Harper M H and Felder R L 1995 Slip correction measurements for solid spherical particles by modulated dynamic light scattering Aerosol Sci. Technol. 22 202-218 Jeffrey D J and Onishi Y 1984 Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow J. Fluid Mech. 139 261-290 Keh H J and Chen S H 1997 Low Reynolds number hydrodynamic interactions in a suspension of spherical particles with slip surfaces Chem. Eng. Sci. 52 1789-1805 Krishna Prasad M, Kaur M and Srinivasacharya D 2017 Slow steady rotation of an approximate sphere in an approximate spherical container with slip surfaces Int. J. Appl. Comput. Math. 3 987-999 Loyalka S K and Griffin J L 1994 Rotation of non-spherical axi-symmetric particles in the slip regime J. Aerosol Sci. 25 509-525 Luo H and Pozrikidis C 2007 Interception of two spheres with slip surfaces in linear Stokes flow J. Fluid Mech. 581 129-156 Myong R S, Reese J M, Barber R W and Emerson D R 2005 Velocity slip in microscale cylindrical Couette flow: the Langmuir model Phys. Fluids 17 087105 Neto C, Evans D R, Bonaccurso E, Butt H J and Craig V S J 2005 Boundary slip in Newtonian liquids: a review of experimental studies Rep. Prog Phys. 68 2859-2897 Nir A 1976 Linear shear flow past a porous particle Appl. Sci. Res. 32 313-325 Pit R, Hervet H and Leger L 2000 Direct experimental evidence of slip in hexadecane: solid interfaces Phys. Rev. Lett. 85 980-983 Reed L D and Morrison F A 1974 Particle interactions in viscous flow at small values of Knudsen number J. Aerosol Sci. 5 175-89 Saad E I 2012 Motion of two spheres translating and rotating through a viscous fluid with slip surfaces Fluid Dyn. Res. 44 055505 Saffman P G 1971 On the boundary condition at the surface of a porous medium Studies Appl. Math. 50 93-101 Sharipov F and Kalempa D 2003 Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient Phys. Fluids 15 1800-1806 Stokes G G 1845 On the theories of the internal friction of fluids in motion and of the equilibrium and motion of elastic solids Trans. Camb. Phil. Soc. 8 287-319 Stokes G G 1851 On the effect of the internal friction of fluids on the motion of pendulums Trans. Camb. Phil. Soc. 9 8-106 Tekasakul P, Tompson R V and Loyalka S K 1999 A numerical study of two coaxial axisymmetric particles undergoing steady equal rotation in the slip regime Z. Angew. Math. Phys. 50 387-403 Tretheway D C and Meinhart C D 2002 Apparent fluid slip at hydrophobic microchannel walls Phys. Fluids 14 L9-L12 Wan Y W and Keh H J 2009 Slow rotation of an axisymmetric slip particle about its axis of revolution Comp. Mod. Eng. Sci. 53 73-93 Yariv E and Siegel M 2019 Rotation of a superhydrophobic cylinder in a viscous liquid J. Fluid Mech. 880 R4 | - |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/88501 | - |
| dc.description.abstract | 本論文在低雷諾數下，對一不可壓縮流體中多個同軸之滑移球形粒子圍繞其軸線穩定旋轉的周圍流場進行分析。這些粒子的半徑、滑移係數和角速度可以不同，並且它們相鄰二粒子的間距也可以不同。通過邊界取點法，吾人半解析地求解了控制流體流動的Stokes方程式。在適當條件下，發現粒子之間的相互作用效應值得注意。對於兩個球形粒子的旋轉，邊界取點法所得到的流體作用於粒子之力矩結果與文獻中使用雙生多極展開法所獲得的解析近似解具有良好的一致性。對於三個球形粒子的旋轉，粒子之間的相互作用效應顯示第三個粒子的存在可以明顯地影響原本作用在其他兩個粒子上的力矩。此相互作用效應對較小或較不滑移的粒子比對較大或較滑移的粒子影響更大。流體作用於多個粒子鏈的旋轉力矩結果則明顯顯示了粒子之間的屏蔽效應。 | zh_TW |
| dc.description.abstract | The flow field around a straight chain of multiple slip spherical particles rotating steadily in an incompressible Newtonian fluid about their line of centers is analyzed at low Reynolds numbers. The particles may vary in radius, slip coefficient, and angular velocity, and they are permitted to be unevenly spaced. Through the use of a boundary collocation method, the Stokes equation governing the fluid flow is solved semi-analytically. The interaction effects among the particles are found to be noteworthy under appropriate conditions. For the rotation of two spheres, our collocation results for their hydrodynamic torques are in good agreement with the analytical asymptotic solution in the literature obtained by using a method of twin multipole expansions. For the rotation of three spheres, the particle interaction effect indicates that the existence of the third particle can influence the torques exerted on the other two particles noticeably. The interaction effect is stronger on the smaller or less slippery particles than on the larger or more slippery ones. Torque results for the rotation of chains of many particles visibly show the shielding effect among the particles. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2023-08-15T16:35:06Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2023-08-15T16:35:06Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | 論文口試委員審定書 i
謝辭 ii 摘要 iii Abstract iv Table of Contents vi List of Figures viii List of Tables x Chapter 1 Introduction 1 Chapter 2 Analysis 4 2.1 Governing equation and boundary conditions 6 2.2. Solution for the fluid velocity and hydrodynamic torques 7 Chapter 3 Results and Discussion 10 3.1 Interactions between two spheres 10 3.2 Interactions among multiple spheres 19 Chapter 4 Concluding Remarks 33 List of Symbols 35 References 37 Appendix A Slip Length and Torque Correction Parameters 40 A.1 Grapgical description of slip length 40 A.2 Calculation of torque correction parameters 41 | - |
| dc.language.iso | en | - |
| dc.subject | 軸對稱旋轉 | zh_TW |
| dc.subject | 蠕動流 | zh_TW |
| dc.subject | 滑移粒子 | zh_TW |
| dc.subject | 力矩 | zh_TW |
| dc.subject | 粒子相互作用 | zh_TW |
| dc.subject | slip particle | en |
| dc.subject | creeping flow | en |
| dc.subject | hydrodynamic torque | en |
| dc.subject | Axisymmetric rotation | en |
| dc.subject | particle interaction | en |
| dc.title | 多個同軸滑移球形粒子繞其軸線之緩慢轉動 | zh_TW |
| dc.title | Slow rotation of multiple coaxial slip spherical particles about their axis | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 111-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 詹正雄;謝子賢 | zh_TW |
| dc.contributor.oralexamcommittee | Jeng-Shiung Jan;Tzu-Hsien Hsieh | en |
| dc.subject.keyword | 軸對稱旋轉,滑移粒子,蠕動流,力矩,粒子相互作用, | zh_TW |
| dc.subject.keyword | Axisymmetric rotation,slip particle,creeping flow,hydrodynamic torque,particle interaction, | en |
| dc.relation.page | 41 | - |
| dc.identifier.doi | 10.6342/NTU202302529 | - |
| dc.rights.note | 同意授權(限校園內公開) | - |
| dc.date.accepted | 2023-08-04 | - |
| dc.contributor.author-college | 工學院 | - |
| dc.contributor.author-dept | 化學工程學系 | - |
| dc.date.embargo-lift | 2028-07-31 | - |
| 顯示於系所單位： | 化學工程學系 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-111-2.pdf 未授權公開取用 | 3.42 MB | Adobe PDF | 檢視/開啟 |
系統中的文件，除了特別指名其著作權條款之外，均受到著作權保護，並且保留所有的權利。