2,158
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

A Generalized Approximation for the Thermophoretic Force on a Free-Molecular Particle

, &
Pages 692-706 | Received 01 Aug 2003, Accepted 01 May 2004, Published online: 17 Aug 2010

REFERENCES

  • Bakanov , S. P. and Derjaguin , B. V. 1959 . Kolloidn. Zh. , 21 : 377
  • Bartel , T. J. , Plimpton , S. and Gallis , M. A. 2001 . Icarus: A 2D Direct Simulation Monte Carlo (DSMC) Code for Multi-Processor Computers , Albuquerque, NM : Sandia National Laboratories . Sandia Report SAND2001–2901
  • Beresnev , S. and Chernyak , V. 1995 . Thermophoresis of a Spherical Particle in a Rarefied Gas: Numerical Analysis Based on the Model Kinetic Equations . Phys. Fluids , 7 : 1743 – 1756 .
  • Bird , G. A. 1976 . Molecular Gas Dynamics , Oxford : Clarendon Press .
  • Bird , G. A. 1994 . Molecular Gas Dynamics and the Direct Simulation of Gas Flows , Oxford : Clarendon Press .
  • Chapman , S. and Cowling , T. G. 1970 . The Mathematical Theory of Non-Uniform Gases , Cambridge : Cambridge University Press .
  • Chen , X. and Xu , D.-Y. 2002 . Thermophoresis of a Near-Wall Particle at Great Knudsen Numbers . Aerosol Sci. Technol. , 36 : 39 – 47 .
  • Derjaguin , B. V. and Bakanov , S. P. 1959 . The Theory of the Motion of Small Aerosol Particles in a Diffusion Field . Sov. Phys. Dokl. , 2 : 563 – 567 .
  • Derjaguin , B. V. and Bakanov , S. P. 1957 . Dokl. Akad. Nauk. SSSR , 117 : 959
  • Derjaguin , B. V. and Yalamov , Y. I. 1972 . “ The Theory of Thermophoresis and Diffusiophoresis of Aerosol Particles and Their Experimental Testing ” . In Topics in Current Aerosol Research , Edited by: Hidy , G. M. and Brock , J. R. pp. 1 – 200 . Oxford : Pergamon Press . edited by
  • Dixon-Lewis , G. 1984 . “ Computer Modeling of Combustion Reactions in Flowing Systems with Transport ” . In Combustion Chemistry , Edited by: Gardiner , W. C. Jr. pp. 21 – 53 . New York : Springer-Verlag . edited by
  • Eckert , E. R. G. and Drake , R. M. Jr. 1972 . Analysis of Heat and Mass Transfer , New York : McGraw-Hill .
  • Epstein , P. S. 1924 . On the Resistance Experienced by Spheres in Their Motion Through Gases . Phys. Rev. , 24 : 710 – 733 . (Series 2)
  • Gallis , M. A. , Torczynski , J. R. and Rader , D. J. 2001 . An Approach for Simulating the Transport of Spherical Particles in a Rarefied Gas Flow via the Direct Simulation Monte Carlo Method . Phys. Fluids , 13 : 3482 – 3492 .
  • Gallis , M. A. , Rader , D. J. and Torczynski , J. R. 2002a . Thermophoresis in Rarefied Gas Dlows . Aerosol Sci. Technol. , 36 : 1099 – 1117 .
  • Gallis , M. A. , Rader , D. J. and Torczynski , J. R. 2002b . Calculations of the Near-Wall Thermophoretic Force in Rarefied Gas Flow . Phys. Fluids , 14 : 4290 – 4301 .
  • Gallis , M. A. , Rader , D. J. and Torczynski , J. R. 2003a . Comment on ‘Thermophoresis of a Near-Wall Particle at Great Knudsen Numbers,’ . Aerosol Sci. Technol. , 37 : 547 – 549 .
  • Gallis , M. A. , Rader , D. J. and Torczynski , J. R. 2003b . DSMC Simulations of the Thermophoretic Force on Spherical Particles in a Polyatomic Gas. Paper AIAA 2003–3497 , Washington, DC : American Institute of Aeronautics and Astronautics .
  • Gallis , M. A. , Torczynski , J. R. and Rader , D. J. 2004 . Molecular Gas Dynamics Observations of Chapman-Enskog Behavior and Departures Therefrom in Nonequilibrium Gases . Phys. Rev. E. , 69 ( 4 ) paper 042201
  • Havnes , O. , Nitter , T. , Tsytovich , V. , Morfill , G. E. and Hartquist , T. 1994 . On the Thermophoretic Force Close to Walls in Dusty Plasma Environments . Plasma Sources Sci. Technol. , 3 : 448 – 450 .
  • Hirschfelder , J. O. , Curtiss , C. F. and Bird , R. B. 1954 . Molecular Theory of Gases and Liquids , New York : John Wiley and Sons, Inc. .
  • Kee , R. J. , Dixon-Lewis , G. , Warnatz , J. , Coltrin , M. E. and Miller , J. A. 1986 . A FORTRAN Computer Code Package for the Evaluation of Gas-Phase, Multicomponent Transport Properties , Albuquerque, NM : Sandia National Laboratories . Sandia Report SAND86–8246
  • Kestin , J. , Knierim , K. , Mason , E. A. , Najafi , B. , Ro , S. T. and Waldman , M. 1984 . Equilibrium and Transport Properties of the Noble Gases and Their Mixtures at Low Density . J. Phys. Chem. Ref. Data , 13 : 229 – 303 .
  • Li , W. and Davis , J. 1995a . Measurement of the Thermophoretic Force by Electrodynamic Levitation: Microspheres in Air . J. Aerosol Sci. , 26 : 1063 – 1083 .
  • Li , W. and Davis , J. 1995b . The Effects of Gas and Particle Properties on Thermophoresis . J. Aerosol Sci. , 26 : 1085 – 1099 .
  • Loyalka , S. K. 1992 . Thermophoretic Force on a Single Particle—I. Numerical Solution of the Linearized Boltzmann Equation . J. Aerosol Sci. , 23 : 291 – 300 .
  • Mason , E. A. and Chapman , S. 1962 . Motion of Small Suspended Particles in Nonuniform Gases . J. Chem. Phys. , 36 : 627 – 632 .
  • Monchick , L. , Yun , K. S. and Mason , E. A. 1963 . Formal Kinetic Theory of Transport Phenomena in Polyatomic Gas Mixtures . J. Chem. Phys. , 39 : 654 – 669 .
  • Phillips , W. F. 1972 . Thermal Force on Spherical Particles in a Rarefied Gas . Phys. Fluids , 15 : 999 – 1003 .
  • Reid , R. C. , Prausnitz , J. M. and Poling , B. E. 1987 . The Properties of Gases and Liquids , 4th ed. , New York : McGraw-Hill .
  • Stephan , K. , Krauss , R. and Laesecke , A. 1987 . Viscosity and Thermal Conductivity of Nitrogen for a Wide Range of Fluid States . J. Phys. Chem. Ref. Data , 16 : 993 – 1023 .
  • Talbot , L. , Cheng , R. K. , Schefer , R. W. and Willis , D. R. 1980 . Thermophoresis of Particles in a Heated Boundary Layer . J. Fluid Mech. , 101 : 737 – 758 .
  • Tyndall , J. 1870 . On Dust and Disease . Proc. R. Instn. Gt. Br. , 6 : 1 – 14 .
  • Vestner , H. 1974 . Forces on Small Particles in Nonhomogeneous Polyatomic Gases . Z. Naturforsch , 29a : 1244 – 1252 .
  • Waldmann , L. 1959 . Über Die Kraft Eines Inhomogenen Gases Auf Kleine Suspendierte Kugeln . Z. Naturforsch , 14a : 589 – 599 .
  • Waldmann , L. and Schmitt , K. H. 1966 . “ Chapter VI. Thermophoresis and Diffusiophoresis of Aerosols ” . In Aerosol Science , Edited by: Davies , C. N. pp. 137 – 162 . New York : Academic Press . edited by
  • Yamamoto , K. and Ishihara , Y. 1988 . Thermophoresis of a Spherical Particle in a Rarefied Gas of a Transition Regime . Phys. Fluids , 31 : 3618 – 3624 .
  • Zheng , F. 2002 . Thermophoresis of Spherical and Non-spherical Particles: A Review of Theories and Experiments . Adv. Colloid Interface Sci. , 97 : 255 – 278 . http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=pubmed&dopt=Abstract&list_uids=12027022 http://www4.infotrieve.com/newmedline/detail.asp?NameID=12027022&Session=&searchQuery=Adv%2E+Colloid+Interface+Sci%2E%5BJournal+Name%5D+AND+97%5BVolume%5D+AND+255%5BPage+Number%5D+AND+2002%5BPublication+Date%5D+AND+Zheng%5BAuthor+Name%5D&count=1

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.