Journal ArticleDOI
Flow of Bingham plastics in a lid-driven square cavity
Evan Mitsoulis,Th. Zisis +1 more
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This article is published in Journal of Non-newtonian Fluid Mechanics.The article was published on 2001-11-01. It has received 137 citations till now. The article focuses on the topics: Bingham plastic & Streamlines, streaklines, and pathlines.read more
Citations
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Analytical solutions for velocity, temperature and concentration distribution in electroosmotic microchannel flows of a non-Newtonian bio-fluid
Siddhartha Das,Suman Chakraborty +1 more
TL;DR: In this article, analytical solutions are derived, describing the transport characteristics of a non-Newtonian fluid flow in a rectangular microchannel, under the sole influence of electrokinetic forces.
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On the usage of viscosity regularisation methods for visco-plastic fluid flow computation
Ian Frigaard,Chérif Nouar +1 more
TL;DR: In this paper, the authors examined convergence of regularised solutions to those of the corresponding exact models, in both mathematical and physical senses, to give practical guidance as to the order of error that one might expect for different regularisations and for different types of flow.
Flows of viscoplastic materials: models and computations
TL;DR: In this paper, a continuation parameter is introduced into the models to facilitate the solution process and produces virtually the same results as the ideal models by the right choice of its value, which can be used to track down yielded/unyielded regions.
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Laminar natural convection of Bingham fluids in a square enclosure with differentially heated side walls
TL;DR: In this article, the mean Nusselt number N u ¯ increases with increasing values of Rayleigh number for both Newtonian and Bingham fluids, and, for large values of Bingham number Bn, the value settles to unity (N u ¯ = 1.0 ) as heat transfer takes place principally due to thermal conduction.
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Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids
Raja R. Huilgol,Zhenjiang You +1 more
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.
References
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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.
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The Rheology and Flow of Viscoplastic Materials
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Steady flows in rectangular cavities
Frank Pan,Andreas Acrivos +1 more
TL;DR: In this article, the steady flow in a rectangular cavity where the motion is driven by the uniform translation of the top wall was studied and it was shown that the high Reynolds number steady flow should consist essentially of a single inviscid core of uniform vorticity with viscous effects being confined to thin shear layers near the boundaries.
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Creeping motion of a sphere through a Bingham plastic
TL;DR: In this article, a finite element/Newton method is presented for solving the free-boundary problem composed of the velocity and pressure fields and the yield surfaces for creeping flow, and the accuracy of solutions is ascertained by mesh refinement and by calculation of the integrals corresponding to the maximum and minimum variational principles for the problem.
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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.