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The Quarterly Journal of Mechanics and Applied Mathematics 1960 13(4):444-461; doi:10.1093/qjmam/13.4.444
© 1960 by Oxford University Press
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THE MOTION OF AN ELASTICO-VISCOUS LIQUID CONTAINED BETWEEN COAXIAL CYLINDERS (II)

K. WALTERS

( Department of Applied Mathematics, University College Aberystwyth )

A new representation of the relaxation spectrum of a liquid is used in order to develop theory of oscillatory flow of the most general linear elastico-viscous liquid in a coaxial-cylinder elastoviscometer of the type built by Oldroyd, Strawbridge, and Toms. It is shown that experimental results concerning dilute polymer solutions, hitherto interpreted in terms of a discrete relaxation spectrum, can be alternatively interpreted in terms of a simple continuous relaxation spectrum characterized by three constants. It is also shown that the ambiguities of interpretation arising from experiments in which the amplitude ratio alone is measured as a function of frequency could in principle be partly resolved by measuring in addition the phase-lag between the inner and outer cylinders of the apparatus over the same frequency range.


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