Viscosity contribution of an arbitrary shape rigid aggregate to a dilute suspension

► Generalized formulation for the estimation of viscosity contribution of arbitrary shape rigid body. ► Viscosity contribution of fractal clusters with a range of cluster morphologies and masses to a dilute suspension. ► Relation between viscosity contribution and cluster fractal dimension. ► Equivalent ellipsoid to represent complex fractal geometries. ► Study of linear viscoelasticity of fractal clusters.