Randomized trial demonstrates the relationship between shear modulus and volume fraction in emulsions, suggesting new insights into their mechanical properties.
The elastic shear modulus of monodisperse emulsions is shown to exhibit a universal dependence on droplet volume fraction φ when scaled by the Laplace pressure of the droplets, increasing as φ(φ-φc), where φc≈0.635, the value of random close packing of solid spheres. Surprisingly the osmotic pressure required to compress the emulsions to increase φ is nearly the same as the shear modulus over a large range of volume fraction, while the bulk osmotic modulus differs significantly. Models based on the structural disorder of the emulsions are discussed to account for these data.
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Mason et al. (1995) studied this question.
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