Skip to main content

Concentration Distribution for Diffusion in A Temperature Gradient

  • Chapter
Transport in Nonstoichiometric Compounds

Part of the book series: NATO ASI Series ((NSSB,volume 129))

  • 374 Accesses

Abstract

Many refractory materials see service in high-temperature environments in which they may be subject to large temperature gradients. Such temperature gradients serve as a driving force for mass transport in addition to the normal diffusion produced by a gradient in concentration or chemical potential. The cross effect which couples mass flux, J, to a temperature gradient, ∂T/∂z, has been variously called the Sorét effect, thermal diffusion, thermotransport or thermomigration.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Allnatt, A. R., and Chadwick, A. V., 1967,Chem. Rev., 67:681.

    Article  Google Scholar 

  • Chemla, M., 1956,Ann. Phys., Ser. 13, 1:959.

    Google Scholar 

  • de Groot, S. R., 1942,Physica, 9:699.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • de Groot, S. R., 1951, “Thermodynamics of Irreversible Processes”, North Holland Publishing Co., Amsterdam,

    Google Scholar 

  • de Groot, S. R., and Mazur, P., 1962, “Non-Equilibrium Thermodynamics”, North Holland Publishing Co., Amsterdam.

    Google Scholar 

  • Gillan, M. J., 1983, Diffusion in a Temperature Gradient,in: “Mass Transport in Solids”, F. Beniere and C. R. A. Catlow, Eds., Plenum Press, N.Y., 227–250.

    Google Scholar 

  • Haase, R., 1969, “Thermodynamics of Irreversible Processes”, Addison-Wesley Publishing Co., Reading, MA.

    Google Scholar 

  • Howard, R. S. and Lidiard, A.B., 1964,Rep. Prog. Phys., 27:161.

    Article  ADS  Google Scholar 

  • Kirkwood, J. G. Baldwin, R. L., Dunlop, P. J., Gosting, L. J., and Kegeles, G., 1960,J. Chem. Phys., 33:1505.

    Article  MathSciNet  ADS  Google Scholar 

  • Lugwig, C., 1856,Sitzber. Akad. Wiss. Wien, Math.-Naturw. Kl, 20:539.

    Google Scholar 

  • Mackrodt, W. C., and Stewart, R. F., 1979,J. Phys. C., 12:5015.

    Article  ADS  Google Scholar 

  • Mock, W., Jr., 1969,Phys. Rev., 179:663.

    Article  ADS  Google Scholar 

  • Oriani, R. A., 1969,J. Phys. Chem. Solids, 30:339.

    Article  ADS  Google Scholar 

  • Soret, C.,Arch. Sci. Phys. Nat., 3:48

    Google Scholar 

  • Shewmon, P. G., 1960, Acta Metall., 8:605.

    Google Scholar 

  • Yoo, H.-I., 1984 “Isothermal and Non-isothermal Diffusion of Oxygen in Single Crystal MgO”, Ph.D. Thesis, Department of Materials Science and Engineering, Massachusetts Insti¬tute of Technology, Cambridge, MA.

    Google Scholar 

  • Yoo, H.-I., Wuensch, B. J., and Petuskey, W. T., 1984,Adv. Ceramics, 12.

    Google Scholar 

  • Wagner, C., 1972,Progr. Sol. State Chem., 7:1.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Plenum Press, New York

About this chapter

Cite this chapter

Yoo, HI., Wuensch, B.J. (1985). Concentration Distribution for Diffusion in A Temperature Gradient. In: Simkovich, G., Stubican, V.S. (eds) Transport in Nonstoichiometric Compounds. NATO ASI Series, vol 129. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2519-2_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-2519-2_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9522-8

  • Online ISBN: 978-1-4613-2519-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics