Biaxial extensional viscous dissipation in sheets expansion formed by impact of drops of Newtonian and non-Newtonian fluids

Ameur Louhichi, Carole-Ann Charles, Ty Phou, Dimitris Vlassopoulos, Laurence Ramos, and Christian Ligoure
Phys. Rev. Fluids 5, 053602 – Published 6 May 2020

Abstract

We investigate freely expanding liquid sheets made of either simple Newtonian fluids or solutions of high molecular water-soluble polymer chains. A sheet is produced by the impact of a drop on a quartz plate covered with a thin layer of liquid nitrogen that suppresses shear viscous dissipation due to an inverse Leidenfrost effect. The sheet expands radially until reaching a maximum diameter and subsequently recedes. Experiments indicate the presence of two expansion regimes: the capillary regime, where the maximum expansion is controlled by surface tension forces and does not depend on the viscosity, and the viscous regime, where the expansion is reduced with increasing viscosity. In the viscous regime, the sheet expansion for polymeric samples is strongly enhanced as compared to that of Newtonian samples with comparable zero-shear viscosity. We show that data for Newtonian and non-Newtonian fluids collapse on a unique master curve where the maximum expansion factor is plotted against the relevant effective biaxial extensional Ohnesorge number that depends on fluid density, surface tension, and the biaxial extensional viscosity. For Newtonian fluids, this biaxial extensional viscosity is six times the shear viscosity. By contrast, for the non-Newtonian fluids, a characteristic Weissenberg number-dependent biaxial extensional viscosity is identified, which is in quantitative agreement with experimental and theoretical results reported in the literature for biaxial extensional flows of polymeric liquids.

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  • Received 17 July 2019
  • Accepted 7 April 2020

DOI:https://doi.org/10.1103/PhysRevFluids.5.053602

©2020 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsPolymers & Soft Matter

Authors & Affiliations

Ameur Louhichi1,2, Carole-Ann Charles1, Ty Phou1, Dimitris Vlassopoulos2, Laurence Ramos1,*, and Christian Ligoure1,†

  • 1Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
  • 2Institute of Electronic Structure and Laser, FORTH, Heraklion 70013, Crete, Greece and Department of Materials Science and Technology, University of Crete, Heraklion 70013, Crete, Greece

  • *laurence.ramos@umontpellier.fr
  • christian.ligoure@umontpellier.fr

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Vol. 5, Iss. 5 — May 2020

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