Abstract
A model for the bulk viscosity of a non-Newtonian fluid is presented. An elementary two-phase cell containing an incompressible non-Newtonian fluid and a gas bubble is compared with a one-phase cell consisting of a corresponding compressible non-Newtonian fluid. The rates of work of both cells are set equal to one another. The deformation histories of both cells are represented by the density history. From the extra stress an expression for the bulk viscosity of the compressible non-Newtonian fluid is derived. The material data are expressed in terms of the known properties of the two-phase flow.
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Aksel, N. A model for the bulk viscosity of a non-Newtonian fluid. Continuum Mech. Thermodyn 7, 333–339 (1995). https://doi.org/10.1007/BF01176292
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DOI: https://doi.org/10.1007/BF01176292