In this work, the creeping flow of a viscoplastic fluid through a planar channel with an expansion followed by a contraction is analyzed numerically. The solution of the conservation equations of mass and momentum is obtained via the finite volume method. In order to model the non-Newtonian behavior of the fluid, it was used the Generalized Newtonian Fluid constitutive equation. The viscosity function was the one proposed by Souza Mendes and Dutra [1]. The yielded and unyielded regions are obtained for several combinations of rheological parameters. The influence of these parameters on pressure drop through the cavity is also obtained and analyzed.

Volume Subject Area:
Fluids Engineering
Keywords:
Planar extension/contraction, viscoplastic liquids
Topics:
Cavities, Creeping flow, Finite volume methods, Flow (Dynamics), Fluids, Momentum, Pressure drop, Rheology, Viscosity
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