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Mesoscopic model for soft flowing systems with tunable viscosity ratio

Linlin Fei1,2, Andrea Scagliarini2, Andrea Montessori2,3, Marco Lauricella2, Sauro Succi2,4,5, and Kai H. Luo1,6,*

  • 1Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China
  • 2Istituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185 Rome, Italy
  • 3Department of Engineering, University of Rome “Roma Tre,” Via della Vasca Navale 79, 00141 Rome, Italy
  • 4Center for Life Nano Science at La Sapienza, Istituto Italiano di Tecnologia, viale Regina Elena 295, I/00161 Rome, Italy
  • 5Harvard Institute for Applied Computational Science, Cambridge, Massachusetts 02138, USA
  • 6Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom

  • *K.Luo@ucl.ac.uk
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Phys. Rev. Fluids 3, 104304 – Published 31 October, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.104304

Abstract

We propose a mesoscopic model of binary fluid mixtures with tunable viscosity ratio based on a two-range pseudopotential lattice Boltzmann method, for the simulation of soft flowing systems. In addition to the short-range repulsive interaction between species in the classical single-range model, a competing mechanism between the short-range attractive and midrange repulsive interactions is imposed within each species. Besides extending the range of attainable surface tension as compared with the single-range model, the proposed scheme is also shown to achieve a positive disjoining pressure, independently of the viscosity ratio. The latter property is crucial for many microfluidic applications involving a collection of disperse droplets with a different viscosity from that of the continuum phase. As a preliminary application, the relative effective viscosity of a pressure-driven emulsion in a planar channel is computed.

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Phys. Rev. Fluids 3, 104304– Published 31 October, 2018
  • Received 18 June 2018
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