Two-state shear diagrams for complex fluids in shear flow

TL;DR

This paper reviews shear-induced phase diagrams for complex fluids, analyzing shear-thickening and shear-thinning behaviors, and provides methods to construct and interpret these diagrams from rheological data.

Contribution

It systematically categorizes fundamental shear stress vs. strain-rate curves and offers a framework for constructing complex phase diagrams from experimental measurements.

Findings

Four fundamental shear stress vs. strain-rate curves identified

Methods to reconstruct phase diagrams from rheological data provided

Discussion of concentration dependence in shear flow behaviors

Abstract

The possible ``phase diagrams'' for shear-induced phase transitions between two phases are collected. We consider shear-thickening and shear-thinning fluids, under conditions of both common strain rate and common stress in the two phases, and present the four fundamental shear stress vs. strain-rate curves and discuss their concentration dependence. We outline how to construct more complicated phase diagrams, discuss in which class various experimental systems fall, and sketch how to reconstruct the phase diagrams from rheological measurements.