A study of dilatation and acoustic propagation in solidifying fats and oils: I. Theoretical

  • M. J. W. Povey


A theoretical relationship is presented relating acoustic velocity to dilatation in two-phase systems. The theory is based on studies of seismic propagation by Kuster and Toksöz, who include acoustic propagation in a fluid matrix containing spherical or spheroidal solid inclusions as a special case of their theory. The relationship presented in this paper applies in the long wavelength limit and predicts a linear relationship between acoustic dilatation and volume dilatation in crystallizing liquids, when the acoustic dilatation is much less than unity. I anticipate that this theory may lead to the application of acoustics in the assessment of a wide range of crystallizing systems such as oils.


  1. 1.
    Zacharias, E.M. and R.A. Parnell, Fd. Techn. 26(4):160 (1972).Google Scholar
  2. 2.
    Hustad, G.O., T. Richardson, N.C. Winder and M.P. Dean, J. Dairy Sc. 53:1525 (1970).CrossRefGoogle Scholar
  3. 3.
    Kua, H.L. and J.S. Weng, JAOCS 52:166 (1975).CrossRefGoogle Scholar
  4. 4.
    Winder, W.C., N.P. Consigny and B. Rodriquez-Lopez, J. Dairy Sc., 44:1165 (1961).Google Scholar
  5. 5.
    Bhattacharya, A.C. and B.B. Deo, Indian J. Pure and Appl. Phys. 19:1172 (1981).Google Scholar
  6. 6.
    Garland, C.W., in Physical Acoustics, VII, edited by W.P. Mason, and R.N. Thurston, Academic Press, New York, 1970, pp. 52–148.Google Scholar
  7. 7.
    Kuster, G.T. and M. Nafi Toksöz, Geophysics, 39(5):587 (1974).CrossRefGoogle Scholar
  8. 8.
    Barrett-Gültepe, M.A., M.E. Gültepe and E. B. Yeager, U.S. Office of Naval Research, Technical Report No. 49 (1982).Google Scholar
  9. 9.
    Salin, D. and W.J. Schon, Physique-Lettres, 42:L477 (1981).Google Scholar
  10. 10.
    Ament, W.S., J. Acous. Soc. Am. 25:638 (1953).CrossRefGoogle Scholar
  11. 11.
    Hannewijk, J., A.J. Haighton and P.W. Hendrikse, in Analysis and Characterisation of Oils, Fats and Fat Products, Vol. I, edited by H.A. Beokenoogen, Interscience Publishers, London, (1964), pp. 119–182.Google Scholar
  12. 12.
    Hussin, A.B.B.H. and M.J.W. Povey, JAOCS 6(3):560–565 (1984).CrossRefGoogle Scholar

Copyright information

© the American Oil Chemists’ Society 1984

Authors and Affiliations

  • M. J. W. Povey
    • 1
  1. 1.Department of Food ScienceUniversity of LeedsLEEDSU.K.

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