Abstract
A simple viscosity relation for a multi-component liquid mixture was obtained by developing the relation based on statistical mechanics without using self-diffusivities. The important hypothesis employed in this work is that the average local strain energy in a binary liquid mixture displays the same density dependency as that in a single-component liquid. The viscosity of a mixture of more than three components can be divided into the contributions of the sub-binary mixtures extracted from the mixture. The viscosity of a regular solution can be estimated from the densities and viscosities of pure component liquids alone. The validities of the resultant viscosity relations were verified for several binary and ternary liquid mixtures. The viscosity of a non-regular solution was illustratively shown to be estimated by introducing an additional parameter.