Skip to main content
    • Aa
    • Aa

Thermophoresis of particles in a heated boundary layer

  • L. Talbot (a1), R. K. Cheng (a2), R. W. Schefer (a2) and D. R. Willis (a3)

A laser-Doppler velocimeter (LDV) study of velocity profiles in the laminar boundary layer adjacent to a heated flat plate revealed that the seed particles used for the LDV measurements were driven away from the plate surface by thermophoretic forces, causing a particle-free region within the boundary layer of approximately one half the boundary-layer thickness. Measurements of the thickness of this region were compared with particle trajectories calculated according to several theories for the thermophoretic force. It was found that the theory of Brock, with an improved value for the thermal slip coefficient, gave the best agreement with experiment for low Knudsen numbers, λ/R = O(10−1), where λ is the mean free path and R the particle radius.

Data obtained by other experimenters over a wider range of Knudsen numbers are compared, and a fitting formula for the thermophoretic force useful over the entire range 0 [les ] λ/R [les ] ∞ is proposed which agrees within 20% or less with the majority of the available data.

Hide All
Annis, B. K. 1972 J. Chem. Phys. 57, 2898.
Basset, A. B. 1888 A Treatise on Hydrodynamics, vol. 2, p. 270. Cambridge: Deighton, Bell & Co. (Reprinted by Dover, 1961.)
Brock, J. R. 1962 J. Colloid Sci. 17, 768.
Derjaguin, B. V., Rabinovich, Ya. I., Storozhilova, A. I. & Scherbina, G. I. 1976 J. Colloid Interface Sci. 57, 451.
Derjaguin, B. V., Storozhilova, A. I. & Rabinovich, Ya. I. 1966 J. Colloid Interface Sci. 21, 35.
Derjaguin, B. V. & Yalamov, Yu. 1965 J. Colloid Sci. 20, 555.
Derjaguin, B. V. & Yalamov, Yu. 1966 J. Colloid Sci. 21, 256.
Durst, F., Melling, A. & Whitelaw, J. H. 1976 Principles and Practice of Laser-Doppler Anemometry. Academic.
Dwyer, H. A. 1967 Phys. Fluids 10, 976.
Epstein, P. S. 1929 Z. Phys. 54, 537.
Fernandez, J. & Rosner, D. E. 1980 Inertial deposition of particles revisited and extended. Presented at 3rd Int. Levich Conf., Madrid. (To appear in Physicochem. Hydro.)
Gorelov, S. L. 1976 Isv. Akad. Nauk S.S.S.R., Mekh. Zhidkosti i Gaza 5, 182.
Goren, S. L. 1977 J. Colloid Interface Sci. 61, 77.
Ivchenko, I. N. & Yalamov, Yu. I. 1971 Russian J. Phys. Chem. 45, 317.
Jacobson, S. & Brock, J. R. 1965 J. Colloid Sci. 20, 544.
Kennard, E. H. 1938 Kinetic Theory of Gases. McGraw-Hill.
Loyalka, S. K. 1968 J. Chem. Phys. 48, 5432.
Loyalka, S. K. & Cipolla, J. W. 1971 Phys. Fluids 14, 1656.
Loyalka, S. K. & Ferziger, J. H. 1967 Phys. Fluids 10, 1833.
Prodi, F., Santachiara, G. & Prodi, V. 1979 J. Aerosol Sci. 10, 421.
Robben, F., Schefer, R., Agrawal, Y. & Namer, I. 1977 Catalyzed combustion in a flat plate boundary layer. I. Experimental measurements and comparison with numerical calculations. Western States Section, Combustion Inst. Paper no. 77–37, Stanford, CA. (Also Lawrence Berkeley Lab. Rep. 6841.)
Rosenblatt, P. & LaMer, V. K. 1946 Phys. Rev. 70, 385.
Saxton, R. L. & Ranz, W. E. 1952 J. Appl. Phys. 23, 917.
Schadt, C. F. & Cadle, R. D. 1961 J. Phys. Chem. 65, 1689.
Schefer, R. W. 1980 Combustion and Flame (in the press).
Schefer, R. W., Agrawal, Y., Cheng, R. K., Robben, F. & Talbot, L. 1978 Motion of particles in a thermal boundary layer. Lawrence Berkeley Lab. Rep. 7843.
Sohmitt, K. H. 1959 Z. Naturf. A 14, 870.
Sone, Y. & Aoki, K. 1977 In Rarefied Gas Dynamics (ed. J. L. Potter), Progress in Astronautics and Aeronautics, vol. 51, part 1, pp. 417433. A.I.A.A.
Springer, G. S. 1970 J. Colloid Interface Sci. 34, 215.
Vestner, H., Kübel, M. & Waldmann, L. 1975 Nuovo Cim. B 25, 405.
Waldmann, L. 1959 Z. Naturf. A 14, 590.
Waldmann, L. 1961 In Rarefied Gas Dynamics (ed. L. Talbot), p. 323. Academic.
Walker, K. L., Homsy, G. M. & Geyling, F. T. 1979 J. Colloid Interface Sci. 69, 138.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 254 *
Loading metrics...

Abstract views

Total abstract views: 864 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 21st October 2017. This data will be updated every 24 hours.