Abstract
The problem of a single drop immersed in a flowing immiscible fluid is here investigated for second-order fluids, hence including the effects of constitutive elasticity. A perturbative approach is outlined, that leads to the complete analytic solution for small deformations of the drop, up to second order in the imposed flow rate. Validation of the theory through experiments determining the drop shape under flow is also discussed. Results in steady shear, obtained through video microscopy and image analysis, show marked deviations from the Newtonian case when an elastic suspending fluid is used, in agreement with the theoretical predictions.
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Greco, F., Guido, S., Simeone, M. (2002). Flow-Induced Deformation of Drops. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_55
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DOI: https://doi.org/10.1007/978-3-662-04784-2_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07647-3
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