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Herschel–Bulkley fluid
About: Herschel–Bulkley fluid is a research topic. Over the lifetime, 1946 publications have been published within this topic receiving 49318 citations.
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TL;DR: In this article, the steady flow of Herschel-Bulkley fluids in a canonical three-dimensional expansion was modeled using a regularized continuous constitutive relation, and the flow was obtained numerically using a mixed-Galerkin finite element formulation with a Newton-Raphson iteration procedure coupled to an iterative solver.
Abstract: In this paper we study steady flow of Herschel–Bulkley fluids in a canonical three-dimensional expansion. The fluid behavior was modeled using a regularized continuous constitutive relation, and the flow was obtained numerically using a mixed-Galerkin finite element formulation with a Newton–Raphson iteration procedure coupled to an iterative solver. Results for the topology of the yielded and unyielded regions, and recirculation zones as a function of the Reynolds and Bingham numbers and the power-law exponent, are presented and discussed for a 2:1 and a 4:1 expansion ratio. The results reveal the strong interplay between the Bingham and Reynolds numbers and their influence on the formation and break up of stagnant zones in the corner of the expansion and on the size and location of core regions.
124 citations
TL;DR: In this article, the augmented Lagrangian method is applied to the steady flow problems of Bingham, Casson and Herschel-Bulkley fluids in pipes of circular and square cross-sections.
Abstract: The augmented Lagrangian method is applied to the steady flow problems of Bingham, Casson and Herschel–Bulkley fluids in pipes of circular and square cross-sections. The plug flow velocity, the flow rate, the flow pattern, the velocity profile, the locations of yielded/unyielded surfaces, the stopping criteria and the friction factor are presented and compared with one another. The numerical strategy based on variational inequalities is shown to be realised easily and applicable extensively.
122 citations
Journal Article•
TL;DR: The problem of peristaltic transport of a couple stress fluid in uniform and non-uniform two-dimensional channels has been investigated under zero Reynolds number with long wavelength approximation and the pressure rise is found to be greater than that for a Newtonian fluid.
120 citations
TL;DR: In this paper, a new numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method (LBM) is proposed, which is applied to two representative test case problems.
Abstract: A new numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method (LBM) is proposed. The essence of the present method lies in the determination of shear-dependent viscosity of the fluid by using a variable parameter related to the local shear rate. Also, the relaxation time in the BGK collision term is kept at unity taking account of numerical stability. The method is applied to two representative test case problems, power-law fluid flows in a reentrant corner geometry and non-Newtonian fluid flows in a three-dimensional porous structure. These simulations indicate that the method can be useful for practical non-Newtonian fluid flows, such as shear-thickening (dilatant) and shear-thinning (pseudoplastic) fluid flows.
120 citations
TL;DR: In this paper, the authors presented experimental data for the flow of bentonite-water dispersions, modeled as Herschel-Bulkley fluids, for the pressure loss at different flow rates covering laminar, transitional and turbulent flow regimes, while flowing in concentric and fully eccentric annuli.
120 citations