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Rayleigh–Taylor instability in a viscoelastic binary fluid

Published online by Cambridge University Press:  15 January 2010

GUIDO BOFFETTA*
Affiliation:
Department of General Physics, INFN and CNISM, University of Torino, via P. Giuria 1, 10125 Torino, ItalyISAC-CNR, Sezione di Torino, corso Fiume 4, 10132 Torino, Italy
ANDREA MAZZINO
Affiliation:
Department of Physics – University of Genova, and CNISM & INFN – Unit of Genova, via Dodecaneso 33, 16146 Genova, Italy
STEFANO MUSACCHIO
Affiliation:
Department of General Physics, INFN and CNISM, University of Torino, via P. Giuria 1, 10125 Torino, Italy
LARA VOZELLA
Affiliation:
Department of Physics – University of Genova, and CNISM & INFN – Unit of Genova, via Dodecaneso 33, 16146 Genova, Italy
*
†Email address for correspondence: boffetta@to.infn.it
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Abstract

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The effects of polymer additives on Rayleigh–Taylor (RT) instability of immiscible fluids is investigated using the Oldroyd-B viscoelastic model. Analytic results obtained exploiting the phase-field approach show that in polymer solution the growth rate of the instability speeds up with elasticity (but remains slower than in the pure solvent case). Numerical simulations of the viscoelastic binary fluid model confirm this picture.

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Copyright © Cambridge University Press 2010