Abstract
A simple analysis of the periodic extensional flow generated by a pulsating sphere in an infinite sea of viscoelastic fluid has been carried out. The general procedure is illustrated by two specific constitutive equations: the corotational Jeffreys fluid and the Oldroyd fluid model B. The response of these fluids is reflected in the temporal variation of the pressure on the surface of the sphere, with Reynolds and Deborah numbers and parameters of the constitutive equations as independent variables. For the case of pulsation with infinitesimal amplitude the fluid response is summarised in the form of pressure amplitude and phase lag versus Deborah number plots. The role of the pulsating flow in the characterisation of viscoelastic fluids and the extension of the procedure to other constitutive equations are briefly discussed.
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References
Fogler HS and Goddard JD (1970) Collapse of spherical cavities in viscoelastic fluids. Phys Fluids 13:1135
Street JR (1968) The rheology of phase growth in elastic liquids. Trans Soc Rheol 12:103
Ting RY (1975) Viscoelastic effect of polymers on single bubble dynamics. AIChEJ 21:810
Pearson G and Middleman S (1977) Elongational flow behaviour of viscoelastic liquids AIChEJ 23:714
Bird RB, Armstrong RC and Hassager O (1977) Dynamics of Polymeric Liquids: Vol. 1. Fluid Mechanics. John Wiley, New York
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Yeow, Y.L. Response of viscoelastic fluids in extensional flow generated by a pulsating sphere. Appl. Sci. Res. 40, 121–133 (1983). https://doi.org/10.1007/BF00386215
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DOI: https://doi.org/10.1007/BF00386215