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Original Articles

Thermophoresis of a Spherical Particle: Reassessment, Clarification, and New Analysis

Pages 927-948 | Received 11 May 2010, Accepted 21 Feb 2011, Published online: 12 Apr 2011

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Mika Ihalainen, Pasi Jalava, Tuukka Ihantola, Stefanie Kasurinen, Oskari Uski, Olli Sippula, Anni Hartikainen, Jarkko Tissari, Kari Kuuspalo, Anna Lähde, Maija-Riitta Hirvonen & Jorma Jokiniemi. (2019) Design and validation of an air-liquid interface (ALI) exposure device based on thermophoresis. Aerosol Science and Technology 53:2, pages 133-145.
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Yu Chen Chang & Huan J. Keh. (2018) Thermophoresis at small but finite Péclet numbers. Aerosol Science and Technology 52:9, pages 1028-1036.
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Cheng Y. Li & Huan J. Keh. (2018) Thermophoresis of a particle in a concentric cavity with thermal stress slip. Aerosol Science and Technology 52:3, pages 269-276.
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Hung H. Chen & Huan J. Keh. (2014) Thermophoretic Motion of a Cylindrical Particle with Chemical Reactions. Aerosol Science and Technology 48:11, pages 1156-1165.
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TzuH. Hsieh & HuanJ. Keh. (2012) Thermophoresis of an Aerosol Sphere with Chemical Reactions. Aerosol Science and Technology 46:3, pages 361-368.
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Alexander A. Fedorets, Eduard E. Kolmakov & Leonid A. Dombrovsky. (2024) A new method for precise optical measurements of the sub-micron height of levitation of droplet clusters. Particuology 87, pages 173-178.
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Weizheng Cheng, Hanrui Zhu, Feiyu Zheng, Ben Chu, Ruitong Wang, Jinran Tao, Wanli Zhang, Peng Tao, Chengyi Song, Wen Shang, Benwei Fu & Tao Deng. (2024) Phototaxis Flight of Microdroplets in a Laser. Physical Review Letters 132:10.
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V. G. Chernyak & T. V. Sograbi. (2023) The role of boundary conditions in the theory of aerosol particle thermophoresis. Physics of Fluids 35:10.
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Sonu Saini, Ankit Farkya & Anirudh Singh Rana. (2023) Thermophoresis and uniform flow in rarefied polyatomic gases: The role of constitutive relations and boundary conditions. Physics of Fluids 35:9.
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Liwen He, Lili Tong & Xuewu Cao. (2023) Study on aerosol thermophoretic force and thermophoresis deposition model in reactor building. Progress in Nuclear Energy 163, pages 104797.
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M. S. Faltas, H. H. Sherief & M. Mahmoud Ismail. (2023) Thermophoresis migration of an aerosol spherical particle embedded in a Brinkman medium at small non-zero Péclet numbers. Physics of Fluids 35:8.
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M. S. Faltas & E. I. Saad. (2023) Thermophoresis-Brinkman flow of an aerosol particle within a spherical cavity. Physics of Fluids 35:6.
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Xiang Liu, Xue Xue, Hui Li, Kelang Jin, Lei Zhang & Hao Zhou. (2023) Numerical simulation and mathematical models of ash deposition behavior considering particle properties and operating conditions. Fuel Processing Technology 245, pages 107743.
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M. S. Faltas, H. H. Sherief, Allam A. Allam, M. G. Nashwan & M. El-Sayed. (2023) Thermophoresis of a spherical particle in a permeable microchannel with thermal stress slip. Physical Review Fluids 8:5.
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Denize Kalempa & Felix Sharipov. (2022) Thermophoretic force on a sphere of arbitrary thermal conductivity in a rarefied gas. Vacuum 201, pages 111062.
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Juan C. Padrino, James E. Sprittles & Duncan A. Lockerby. (2022) Efficient simulation of rarefied gas flow past a particle: A boundary element method for the linearized G13 equations. Physics of Fluids 34:6.
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Basant Kumar Jha & Hadiza Nass Sani. (2022) Role of thermophoresis on unsteady/steady mixed convective flow in a vertical channel having convective boundary conditions. SN Applied Sciences 4:4.
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Nils Erland L. Haugen, Jonas Krüger, Jørgen R. Aarnes, Ewa Karchniwy & Adam Klimanek. (2021) Thermophoresis and its effect on particle impaction on a cylinder for low and moderate Reynolds numbers. International Journal of Heat and Mass Transfer 181, pages 121996.
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Seyedhassan Fakourian, Zachary McAllister, Andrew Fry, Yueming Wang, Xiaolong Li, Jost O.L. Wendt & Jinze Dai. (2021) Modeling ash deposit growth rates for a wide range of solid fuels in a 100 kW combustor. Fuel Processing Technology 217, pages 106777.
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Hollis Williams. (2021) New exact solutions for microscale gas flows. Journal of Engineering Mathematics 128:1.
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Hiroshi MasuharaKen-ichi Yuyama. (2021) Optical Force-Induced Chemistry at Solution Surfaces. Annual Review of Physical Chemistry 72:1, pages 565-589.
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Chi-Lung Wu, Shun-Fa Wang, Tetsuhiro Kudo, Ken-ichi Yuyama, Teruki Sugiyama & Hiroshi Masuhara. (2020) Anomalously Large Assembly Formation of Polystyrene Nanoparticles by Optical Trapping at the Solution Surface. Langmuir 36:47, pages 14234-14242.
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Denize Kalempa & Felix Sharipov. (2020) Drag and thermophoresis on a sphere in a rarefied gas based on the Cercignani–Lampis model of gas–surface interaction. Journal of Fluid Mechanics 900.
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E.I. Saad & M.S. Faltas. (2020) Thermophoresis of a spherical particle straddling the interface of a semi-infinite micropolar fluid. Journal of Molecular Liquids 312, pages 113289.
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Yu M. Tseng & Huan J. Keh. (2020) Thermophoretic motion of an aerosol sphere in a spherical cavity. European Journal of Mechanics - B/Fluids 81, pages 93-104.
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Shashank S. Tiwari, Eshita Pal, Shivkumar Bale, Nitin Minocha, Ashwin W. Patwardhan, Krishnaswamy Nandakumar & Jyeshtharaj B. Joshi. (2020) Flow past a single stationary sphere, 2. Regime mapping and effect of external disturbances. Powder Technology 365, pages 215-243.
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M. S. Faltas & Kareem E. Ragab. (2019) Thermophoretic and photophoretic velocities and forces of a spherical particle embedded in Brinkman medium. The European Physical Journal Plus 134:9.
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E.I. Saad & M.S. Faltas. (2019) Theory of thermophoresis of a spherical particle embedded in a micropolar fluid. Journal of Molecular Liquids 282, pages 527-544.
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Ulrich Kleinhans, Christoph Wieland, Selahattin Babat & Hartmut Spliethoff. (2019) Large Eddy Simulation of a particle-laden flow around a cylinder: Importance of thermal boundary layer effects for slagging and fouling. Fuel 241, pages 585-606.
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Juan C. Padrino, James E. Sprittles & Duncan A. Lockerby. (2019) Thermophoresis of a spherical particle: modelling through moment-based, macroscopic transport equations. Journal of Fluid Mechanics 862, pages 312-347.
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Peter R. Forsyth, David R. H. Gillespie & Matthew McGilvray. (2019) Experimental Deposition of NaCl Particles From Turbulent Flows at Gas Turbine Temperatures. Journal of Turbomachinery 141:2.
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Yongtie Cai, Kunlin Tay, Zhimin Zheng, Wenming Yang, Hui Wang, Guang Zeng, Zhiwang Li, Siah Keng Boon & Prabakaran Subbaiah. (2018) Modeling of ash formation and deposition processes in coal and biomass fired boilers: A comprehensive review. Applied Energy 230, pages 1447-1544.
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Tobias Baier, Sudarshan Tiwari, Samir Shrestha, Axel Klar & Steffen Hardt. (2018) Thermophoresis of Janus particles at large Knudsen numbers. Physical Review Fluids 3:9.
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Ulrich Kleinhans, Christoph Wieland, Flemming J. Frandsen & Hartmut Spliethoff. (2018) Ash formation and deposition in coal and biomass fired combustion systems: Progress and challenges in the field of ash particle sticking and rebound behavior. Progress in Energy and Combustion Science 68, pages 65-168.
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Peter Forsyth, David Gillespie & Matthew McGilvray. (2018) Numerical Simulations of Particle Transport and Deposition Experiments at Gas Turbine Temperatures. Numerical Simulations of Particle Transport and Deposition Experiments at Gas Turbine Temperatures.
D. A. Lockerby & B. Collyer. (2016) Fundamental solutions to moment equations for the simulation of microscale gas flows. Journal of Fluid Mechanics 806, pages 413-436.
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Ryan W. Bosworth, A. L. Ventura, A. D. Ketsdever & S. F. Gimelshein. (2016) Measurement of negative thermophoretic force. Journal of Fluid Mechanics 805, pages 207-221.
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D. Cordier, P.G. Prada Moroni & E. Tognelli. (2016) Dust photophoretic transport around a T Tauri star: Implications for comets composition. Icarus 268, pages 281-294.
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Austin Ventura, Natalia Gimelshein, Sergey Gimelshein & Andrew Ketsdever. (2013) Effect of vane thickness on radiometric force. Journal of Fluid Mechanics 735, pages 684-704.
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Yu C. Chang & Huan J. Keh. (2012) Effects of thermal stress slip on thermophoresis and photophoresis. Journal of Aerosol Science 50, pages 1-10.
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