Application to Practical Problems

  • J. Crank
  • N. R. McFarlane
  • J. C. Newby
  • G. D. Paterson
  • J. B. Pedley
Chapter

Abstract

This section presents some ideas about mathematical modelling in general and relates them to modelling diffusion problems.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barrer, R. M. (1957). Diffusion in and through Solids, Cambridge University PressGoogle Scholar
  2. Burkhardt, H. (1978). ‘Learning to use mathematics’, Bull. IMA, 15, No. 10Google Scholar
  3. Carslaw, H. S. and Jaeger, J. C. (1959). Conduction of Heat in Solids, Clarendon Press, OxfordGoogle Scholar
  4. Crank, J. (1975). The Mathematics of Diffusion, Clarendon Press, OxfordGoogle Scholar
  5. Crank, J. and Park, G. S. (Eds) (1968). Diffusion in Polymers, Academic Press, New YorkGoogle Scholar
  6. Csanady, G. T. (1973). Turbulent Diffusion in the Environment, Reidel, The HagueCrossRefGoogle Scholar
  7. Davidson, J. M., Rieck, C. E. and Santelmann, P. W. (1968). Soil Sci. Soc. Amer. Proc., 32, 629–633CrossRefGoogle Scholar
  8. Frissel, M. J., Poelstra, P. and Reiniger, P. (1970). Plant and Soil, 33, 161–176CrossRefGoogle Scholar
  9. Jacobs, M. H. (1967). Diffusion Processes, Springer-Verlag, BerlinCrossRefGoogle Scholar
  10. Jost, W. (1952). Diffusion in Solids, Liquids and Gases, Academic Press, New York, p. 63Google Scholar
  11. Leistra, M. (1978). Plant and Soil, 49, 569–580CrossRefGoogle Scholar
  12. Leistra, M. (1979). Soil Science, 128, 303–311CrossRefGoogle Scholar
  13. Mackay, D. (1978). ‘Volatilization of pollutants from water’, in Aquatic Pollutants: Transformation and Biological Effects, edited by Huntzinger, Van Lelyveld and Zoetman, Pergamon Press, OxfordGoogle Scholar
  14. Nobel, P. S. (1970). Introduction to Biophysical Plant Physiology, Freeman, San FranciscoGoogle Scholar
  15. O’Connor, G. A., van Genuchten, M. Th. and Wierenga, P. J. (1976). J. Environ. Qual., 5, 375–378CrossRefGoogle Scholar
  16. Osgerby, J. M. (1970). ‘Sorbtion of un-ionised pecticides by soil’, in Sorbtion and Transport Processes in Soils, S.C.I. Monograph No. 37Google Scholar
  17. Pasquill, F. (1974). Atmospheric Diffusion, Ellis Horwood, ChichesterGoogle Scholar
  18. Penman, M. L. (1948). Proc. Roy. Soc., A193, 120–145CrossRefGoogle Scholar
  19. Rand, R. H. (1977). Trans. ASAE, 20, 701–704CrossRefGoogle Scholar
  20. Wiser, C. O. and Brater, E. F. (1959). Hydrology, Wiley, New YorkGoogle Scholar

Copyright information

© J. Crank, N. R. McFarlane, J. C. Newby, G. D. Paterson and J. B. Pedley 1981

Authors and Affiliations

  • J. Crank
    • 1
  • N. R. McFarlane
    • 2
  • J. C. Newby
    • 1
  • G. D. Paterson
    • 3
  • J. B. Pedley
    • 3
  1. 1.School of Mathematical StudiesBrunel UniversityUxbridge, MiddlesexUK
  2. 2.Shell Research LtdLondonUK
  3. 3.Shell Research LtdSittingbourne Research CentreSittingbourne, KentUK

Personalised recommendations