Summary
The equations of motion of the surface torsion pendulum under an impulsive, constant, constant rate, and sinusoidal torque applied either to the top (Searle type instrument) of the bottom (Couette type instrument) are derived assuming the viscoelastic behaviour of the film to be representable by a simple Voigt element. The contribution of the clean interface and the determination of the instrument constants are surveyed. Finally more complex models and the application of the newer methods and concepts of linear viscoelastic theory to the study of surface films are discussed.
Zusammenfassung
Die Bewegungsgleichungen des Oberflächentorsionspendels werden abgeleitet für den Fall eines impulsiven, eines konstanten, eines gleichförmig beschleunigten und eines sinusoidalen Drehmomentes in einem Apparat entweder vom Typus Searle oder vom Typus Couette unter der Annahme, daß das viskoelastische Verhalten des Films durch ein einfaches Voigt-Modell dargestellt werden kann. Der Beitrag der reinen Grenzfläche und die Bestimmung der Apparaturkonstanten werden untersucht. Komplexere Modelle und die Anwendung der neueren Methoden und Konzepte der linearen viskoelastischen Theorie in Untersuchungen an Oberflächenfilmen werden gleichfalls besprochen.
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References
Mouquin, H. and E. K. Rideal, Proc. Roy. Soc. (London) A 114, 690 (1927).
Cumper, C. W. N., and A. E. Alexander, Australian J. Scient. Research, series A 5, 189 (1952).
Joly, M. J., Phys. radium 9, 345 (1938).
Harkins, W. D. and J. G. Kirkwood, J. Chem. Phys. 6, 53 (1938).
Ewers, W. E. and R. A. Sack, Australian J. Chem. 7, 40 (1953).
Myers, R. J. and W. D. Harkins, J. Chem. Phys. 5, 601 (1937).
Criddle, D. W. and A. C. Meader, J. Appl. Phys. 26, 838 (1955).
Nielsen, L. E., R. Wall and G. Adams, J. Colloid Sci. 13, 441 (1958).
Pouradier, J., J. chim. phys. 46, 627 (1949).
Langmuir, I. and V. J. Schaefer, J. Amer. Chem. Soc. 59, 2400 (1937).
Kalousek, M., and V. Vyšin, Chem. Listy 48, 486 (1954).
Tschoegl, N. W., Kolloid-Z. 174, 113 (1961).
Tschoegl, N. W., Australian J. Phys. 14, 307 (1961).
van Wazer, J. R., J. Colloid Sci. 2, 223 (1947).
Jaeger, J. C., Introduction to the Laplace Transformation (London 1956).
Trapeznikov, A. A., Acta Physicochimica USSR 9, 273 (1938).
Jaffe, J. and J. M. Loutz, J. Polymer Sci. 29, 381 (1958).
Sasaki, F. and H. Kimizuka, Bull. Chem. Soc. Japan 25, 318 (1952).
Chaminade, R., D. G. Dervichian and M. Joly, J. Chim. phys. 47, 883 (1950).
Ellis, S, Ellis, C., A. F. Lanham and K. G. A. Pankhurst, J. Sci. Instruments 32, 70 (1955).
Fourt, L. and W. D. Harkins, J. Phys. Chem. 42, 897 (1938).
Brown, A. G., W. C. Thuman and J. W. McBain, J. Colloid Sci. 8, 491 (1953).
Sanders, E., K. Durham and M. Camp, Research 8, S 18, (1955).
Reiner, M. and H. Rivlin, Kolloid-Z. 43, 1 (1927).
Joly, M., J. chim. phys. 36, 285 (1939).
Tschoegl, N. W., J. Colloid Sci. 13, 500 (1958).
Inokuchi, K., Bull. Chem. Soc. Japan 26, 500 (1953).
Fourt, L., J. Phys. Chem. 43, 887 (1939).
Cumper, C. W. N. and A. E. Alexander, Trans Faraday Soc. 46, 235 (1950).
Tschoegl, N. W. and A. E. Alexander, J. Colloid Sci. 15, 168 (1960).
Boyd, G. E. and F. Vaslov, J. Colloid Sci. 13, 275 (1958).
—, J. Polymer Sci. 8, 257 (1952).
Inokuchi, K., Bull Chem. Soc. Japan 28, 453 (1955).
Tachibana, T. and K. Inokuchi, J. Colloid Sci. 8, 341 (1953).
Nakagawa, T., Kagaku 21, 138 (1951).
Leaderman, H., in: Eirich, F. R., Rheology, Vol. 2, (New York 1958).
Inokuchi, K., Bull. Chem. Soc. Japan 27, 203 (1954).
Inokuchi, K., Bull. Chem. Soc. Japan 27, 432 (1954).
Ferry, D. J., in: Eirich, F. R., Rheology, Vol. 2, (New York 1958).
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Tschoegl, N.W. The mathematical relations of the torsion pendulum in the study of surface films. Kolloid-Z.u.Z.Polymere 181, 19–29 (1962). https://doi.org/10.1007/BF01557887
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DOI: https://doi.org/10.1007/BF01557887