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Journal ArticleDOI

Flow of viscoplastic liquids through axisymmetric expansions-contractions

TLDR
In this article, the internal flow of viscoplastic liquids through ducts consisting of an abrupt axisymmetric expansion followed by an abrupt contraction was examined, and steady, inertialess numerical solutions were obtained by solving the conservation equations of mass and momentum via the finite volume method.
Abstract
We examine the internal flow of viscoplastic liquids through ducts consisting of an abrupt axisymmetric expansion followed by an abrupt contraction. Steady, inertialess numerical solutions were obtained by solving the conservation equations of mass and momentum via the finite volume method. The viscoplastic behavior of the liquid was modeled by the generalized Newtonian liquid model with a recently proposed viscosity function. Flow visualization experiments were also conducted with Carbopol aqueous solutions at different concentrations. Yield surfaces delimiting yielded and unyielded regions were observed for different combinations of the governing parameters. The unyielded region is located in the large-diameter portion of the channel, near the wall. The size of the unyielded region is shown to be a strong function of the geometrical, rheological, and flow parameters.

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Citations
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Journal ArticleDOI

Yield stress fluid flows: A review of experimental data

TL;DR: In this article, the state-of-the-art yield-structure properties of simple (non-thixotropic) yield stress fluids under various conditions, viz., uniform flows in straight channels or rheometrical geometries, complex stationary flows in channels of varying cross-section such as extrusion, expansion, flow through a porous medium, transient flows such as flows around obstacles, spreading, spin-coating, squeeze flow, and elongation.
Journal ArticleDOI

Bingham’s model in the oil and gas industry

TL;DR: In this paper, yield stress fluid flows occur in a great many operations and unit processes within the oil and gas industry, including heavy oil, drilling fluids and operations, wellbore cementing, hydraulic fracturing and some open-hole completions, sealing/remedial operations.
Journal ArticleDOI

Solution of the square lid-driven cavity flow of a Bingham plastic using the finite volume method

TL;DR: It is shown that using the SIMPLE algorithm in a multigrids context dramatically improves convergence, although the multigrid convergence rates are much worse than for Newtonian flows.
Journal ArticleDOI

Dimensionless non-Newtonian fluid mechanics

TL;DR: In this article, the authors present an alternative reasoning for the choice of characteristic quantities to be employed in the non-dimensionalization of the governing equations of non-Newtonian fluid flow problems.
References
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Book

Numerical heat transfer and fluid flow

TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
Book

Dynamics of Polymeric Liquids

R. Byron Bird
Journal ArticleDOI

Flows of Materials with Yield

TL;DR: In this article, a modified constitutive relation that applies everywhere in the flow field, in both yielded and practically unyielded regions, is proposed to analyze two-dimensional flows of Bingham fluids.
Journal ArticleDOI

The yield stress—a review or ‘παντα ρει’—everything flows?

TL;DR: In this paper, the authors give an account of the development of the idea of yield stress for solids, soft solids and structured liquids from the beginning of this century to the present time.
Journal ArticleDOI

A finite-element method for incompressible non-Newtonian flows

TL;DR: In this article, the extension to non-Newtonian viscous incompressible fluid flows of a finite-element method using a nine-node isoparametric Langrangian element with a penalty approach for the continuity equation is studied.
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