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At equilibrium, ILs self-assemble and create clusters with different shapes and sizes and affect the dynamics and rheology of the mixtures. Mixtures show a significant deviation from ideal solutions behavior. Shear and extensional rheology simulations show that mixtures mostly show Newtonian behaviors at low and moderate rates which is followed by a weak thinning behavior at high rates. It is shown that a small addition of ILs (x=2% mole fraction) to oil significantly increases both the shear and extensional viscosity of the mixture by a