3-D flow of Herschel-Bulkley fluids
AuthorBurgos, Gilmer R.
Alexandrou, Andreas N.
Place of publicationFairfield, NJ, United States
SourceAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
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The flow of Herschel-Bulkley fluids through a sudden 3-D square with expansion height ratio of 2:1 is studied numerically by solving the mass and momentum conservation equations along with a continuous constitutive relation. Solutions are obtained for a Reynolds number equal to 1, and a wide range of dimensionless pressure gradient and rheological parameters on both unsteady and steady laminar flows with constant fluid properties. The solution was obtained using a classical Galerkin finite element formulation with a segregated solution procedure. Results are shown for the evolution in time of yielded/unyielded regions and the influence of the different parameters on the shape and extent of these regions and the volume flow rate at steady flow.