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The rheological properties of emulsions are of considerable importance in adiverse range of scenarios. Here we describe a superposition of the effects ofdroplet elasticity and volume fraction on the dynamics of emulsions. Thesuperposition is governed by physical interactions between droplets, andprovides a new mechanism for modifying the flow behavior of emulsions, bycontrolling the elasticity of the dispersed phase. We investigate theproperties of suspensions of emulsified wormlike micelles (WLM). Densesuspensions of the emulsified WLM droplets exhibit thermally responsiveproperties in which the viscoelastic moduli decrease by an order of magnitudeover a temperature range of 0 $^\circ$C to 25 $^\circ$C. Surprisingly, thefragility (i.e. the volume-fraction dependence of the modulus) of the emulsionsdoes not change with temperature. Instead, the emulsion modulus scales as apower-law with volume fraction with a constant exponent across all temperatureseven as the droplet properties change from elastic to viscous. Nevertheless,the underlying droplet dynamics depend strongly on temperature. From stressrelaxation experiments, we quantify droplet dynamics across the cage breakingtime scale below which the droplets are locally caged by neighbors and abovewhich the droplets escape their cages to fully relax. For elastic droplets andhigh volume fractions, droplets relax less stress through cage rattling and theterminal relaxations are slower than for viscous droplets and lower volumefractions. The cage rattling and cage breaking dynamics are highly correlatedfor variations in both temperature and emulsion concentration, suggesting thatthermal and volume fraction effects represent independent parameters to controlemulsion properties.

Superposition of droplet elasticity and volume fraction effects on emulsion dynamics