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DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 葛煥彰 | zh_TW |
dc.contributor.advisor | Huan-Jang Keh | en |
dc.contributor.author | 余展維 | zh_TW |
dc.contributor.author | Chan-Wei Yu | en |
dc.date.accessioned | 2024-07-17T16:21:58Z | - |
dc.date.available | 2024-07-18 | - |
dc.date.copyright | 2024-07-17 | - |
dc.date.issued | 2024 | - |
dc.date.submitted | 2024-07-12 | - |
dc.identifier.citation | Abate J and Valkó P P 2004 Multi-precision Laplace transform inversion Int. J. Numer. Meth. Eng. 60 979–993
Ashmawy E A 2012 A general formula for the drag on a sphere placed in a creeping unsteady micropolar fluid flow Meccanica 47 1903-1912 Ashmawy E A 2017 Unsteady translational motion of a slip sphere in a viscous fluid using the fractional Navier-Stokes equation Eur. Phys. J. Plus 132 142 Basset A B 1888 A Treatise on Hydrodynamics vol 2 (Cambridge: Deighton, Bell and Co.) Bird R B, Stewart W E and Lightfoot E N 2007 Transport phenomena revised 2nd ed. (New York: Wiley) Brinkman H C 1947 A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles Appl. Sci. Res. A1 27-34 Buonocore S, Sen M and Semperlotti F 2019 A fractional-order approach for transient creeping flow of spheres AIP Advances 9 085323 Dill L H and Balasubramaniam R 1992 Unsteady thermocapillary migration of isolated drops in creeping flow Int. J. Heat Fluid Flow 13 78-85 Fakour M, Rahbari A, Moghadasi H, Rahimipetroudi I, Domairry Ganji D and Varmazyar M 2018 Analytical study of unsteady sedimentation analysis of spherical particle in Newtonian fluid media Thermal Sci. 22 847-855 Feng J and Joseph D D 1995 The unsteady motion of solid bodies in creeping flows J. Fluid Mech. 303 83-102 Gomez-Solano J R and Bechinger C 2015 Transient dynamics of a colloidal particle driven through a viscoelastic fluid New J. Phys. 17 103032 Hadamard J S 1911 Mouvement permanent lent d’une sphere liquid et visqueuse dans un liquide visqueux Compt. Rend. Acad. Sci. (Paris) 152 1735-1738 Keh H J and Huang Y C 2005 Transient electrophoresis of dielectric spheres J. Colloid Interface Sci. 291 282-291 Lai Y C and Keh H J 2020 Transient electrophoresis of a charged porous particle Electrophoresis 41 259-265 Lai Y C and Keh H J 2021 Transient electrophoresis in a suspension of charged particles with arbitrary electric double layers Electrophoresis 42 2126-2133 Li M X and Keh H J 2020 Start-up electrophoresis of a cylindrical particle with arbitrary double layer thickness J. Phys. Chem. B 124 9967-9973. Li M X and Keh H J 2021 Transient rotation of a spherical particle in a concentric cavity with slip surfaces Fluid Dyn. Res. 53 045509 Liu Y C and Keh H J 1998 Sedimentation velocity and potential in a dilute suspension of charged porous spheres Colloids Surfaces A 140 245-259 Masliyah J H and Polikar M 1980 Terminal velocity of porous spheres Can. J. Chem. Eng. 58 299-302 Matsumoto K and Suganuma A 1977 Settling velocity of a permeable model floc Chem. Eng. Sci. 32 445-447 Michaelides E E 1997 Review-The transient equation of motion for particles, bubbles, and droplets J. Fluids Eng. 119 233-247 Morrison F A and Reed L D 1975 Unsteady creeping motion of a sphere at small values of Knudsen number J. Aerosol Sci. 6 9-18 Neale G, Epstein N and Nader W 1973 Creeping flow relative to permeable spheres Chem. Eng. Sci. 28 1865-1874 Prakash J and Raja Sekhar G P 2012 Arbitrary oscillatory Stokes flow past a porous sphere using Brinkman model Meccanica 47 1079–1095 Prakash J and Satyanarayana C 2021 Axisymmetric slow motion of a porous spherical particle in a viscous fluid using time fractional Navier–Stokes equation. Colloids Interfaces 5 24 Premlata A R and Wei H-H 2020 Re-entrant history force transition for stick-slip Janus swimmers: mixed Basset and slip-induced memory effects J. Fluid Mech. 882 A7 Rybczynski W 1911 Uber die fortschreitende bewegung einer flussigen kugel in einem zahenmedium Bull. Acad. Sci., Cracovie, Ser. A 1 40-46 Sharanya V and Raja Sekhar G P 2015 Thermocapillary migration of a spherical drop in an arbitrary transient Stokes flow Phys. Fluids 27 063104 Stehfest H 1970 Algorithm 368 Numerical inversion of Laplace transforms Comm. ACM 13 47-49 Stewart M B and Morrison F A 1981 Droplet dynamics in creeping flows J. Appl. Mech. 48 224-228 Stokes G G 1851 On the effect of the internal friction of fluid on pendulums Trans. Cambridge Philos. Soc. 9 8-106 Sutherland D N and Tan C T 1970 Sedimentation of a porous sphere Chem. Eng. Sci. 25 1948-1950 Yossifon G, Frankel I and Miloh T 2009 Macro-scale description of transient electro-kinetic phenomena over polarizable dielectric solids J. Fluid Mech. 620 241-262 | - |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/93090 | - |
dc.description.abstract | 本論文以多孔球形粒子模型模擬可滲透聚合物鏈團或絮聚體等微奈米粒子於不可壓縮牛頓流體中受一恆定力作用所造成之起始緩慢移動。由修正的暫態Stokes及Brinkman方程式描述多孔球形粒子內外流體之運動狀態並以拉普拉斯轉換分別求解多孔粒子內外的流速分佈,再分析粒子所受拖曳力即可求得轉換 (s) 域中相關變數及粒子暫態速度解析解函數,最後以拉普拉斯逆轉換數值解比較時間 (t) 域中多孔粒子暫態速度和加速度與粒子孔隙度、粒子內流體滲透參數、粒子與流體相對密度和無因次時間等參數間的關係及變化趨勢。
結果顯示,粒子速度如同預期會隨外加力作用時間逐漸增加,並且質量密度較大粒子的速度增長會落後於密度較低的粒子。於大部分條件下,粒子暫態速度會隨粒子孔隙度增加遞增,而高流體滲透性的多孔粒子相較於低滲透性的相同粒子會具有更大的暫態速度,但相對終端速度之速度百分比增長則可能落後於滲透性較小的粒子。多孔粒子的加速度為時間的單調遞減函數及流體滲透性的單調遞增函數。實際應用上,多孔粒子的暫態蠕動行為可能比不可滲透粒子更加重要。 | zh_TW |
dc.description.abstract | The start-up creeping motion of a porous spherical particle, which models a permeable polymer coil or floc of nanoparticles, in an incompressible Newtonian fluid generated by the sudden application of a body force is investigated for the first time. The transient Stokes and Brinkman equations governing the fluid velocities outside and inside the porous sphere, respectively, are solved by using the Laplace transform. An analytical formula for the transient velocity of the particle as a function of relevant parameters is obtained.
As expected, the particle velocity increases over time, and a particle with greater mass density lags behind a corresponding less dense particle in the growth of the particle velocity. In general, the transient velocity is an increasing function of the porosity of the particle. On the other hand, a porous particle with a higher fluid permeability will have a greater transient velocity than the same particle with a lower permeability, but may trail behind the less permeable particle in the percentage growth of the velocity. The acceleration of the porous particle is a monotonic decreasing function of the elapsed time and a monotonic increasing function of its fluid permeability. In particular, the transient behavior of creeping motions of porous particles may be much more important than that of impermeable particles. | en |
dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2024-07-17T16:21:58Z No. of bitstreams: 0 | en |
dc.description.provenance | Made available in DSpace on 2024-07-17T16:21:58Z (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 Chapter 1 Introduction 1 Chapter 2 Analysis 4 2.1 Fluid Velocity Field 5 2.2 Transient Migration Velocity 10 Chapter 3 Results and Discussion 12 3.1 Scaled Particle Mobility 12 3.2 Dimensionless Particle Acceleration 22 Chapter 4 Conclusions 28 List of Symbols 29 References 31 Appendix A Start-up Rotation of a Porous Sphere in a Cavity 34 A.1 Introduction 34 A.2 Analysis 37 A.3 Results and Discussion 43 A.4 Conclusions 62 A.5 References 64 | - |
dc.language.iso | en | - |
dc.title | 多孔球形粒子之暫態緩慢移動 | zh_TW |
dc.title | Transient slow motion of a porous sphere | en |
dc.type | Thesis | - |
dc.date.schoolyear | 112-2 | - |
dc.description.degree | 碩士 | - |
dc.contributor.oralexamcommittee | 謝子賢;詹正雄 | zh_TW |
dc.contributor.oralexamcommittee | Tzu-Hsien Hsieh;Jeng-Shiung Jan | en |
dc.subject.keyword | 起始移動,多孔粒子,暫態速度,粒子蠕動,拖曳力, | zh_TW |
dc.subject.keyword | start-up migration,porous particle,transient velocity,creeping motion,hydrodynamic drag force, | en |
dc.relation.page | 66 | - |
dc.identifier.doi | 10.6342/NTU202401702 | - |
dc.rights.note | 同意授權(全球公開) | - |
dc.date.accepted | 2024-07-12 | - |
dc.contributor.author-college | 工學院 | - |
dc.contributor.author-dept | 化學工程學系 | - |
顯示於系所單位: | 化學工程學系 |
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