Flow, onset and stability: Qualitative analysis of yield stress fluid flow in enclosures

Karimfazli, Ida; Frigaard, I.A.

doi:10.1016/j.jnnfm.2016.06.005

Cited by 12 publications

(5 citation statements)

References 15 publications

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“…First, as well as being a limiting value for the static steady problem, for many flows Y ≥ Y c also means that the associated unsteady flows converge to the static steady state, i.e. stability; see [2,19]. This type of result, originally established by [20] for 1D channel flow, has much wider application, as discussed in [21].…”

Section: Introductionmentioning

confidence: 90%

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Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle

Iglesias,

Mercier,

Chaparian

et al. 2020

Preprint

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Calculating the yield limit Y c of a viscoplastic fluid flow is a challenging problem, often needing iteration in the rheological parameters to approach the plastic limit, as well as accurate computations that account properly for the yield stress and potentially adaptive meshing. For particle settling flows, in recent years calculating Y c has been accomplished analytically for many antiplane shear flow configurations and also computationally for many geometries, under either two dimensional (2D) or axisymmetric flow restrictions. Here we approach the problem of 3D particle settling and how to compute the yield limit directly, i.e. without iteratively changing the rheology to approach the plastic yield limit. The approach develops tools from optimization theory, taking advantage of the fact that Y c is defined via a minimization problem. We recast this minimization in terms of primal and dual variational problems, develop the necessary theory and finally implement a basic but workable algorithm. We benchmark results against accurate axisymmetric flow computations for cylinders and ellipsoids. This demonstrates the feasibility of directly computing Y c in multiple dimensions.

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Section: Introductionmentioning

confidence: 90%

“…General determination of Y c remains elusive although Y c has been given a formal mathematical definition for various classes of flow e.g. [1,2], the roots of which go back to the 1965 analysis of [3] for anti-plane shear flows.…”

Section: Introductionmentioning

confidence: 99%

Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle

Iglesias,

Mercier,

Chaparian

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The balance between buoyant forces and yield stress determines the flow onset [2]. The flow regime before the onset is governed by conduction and convection after the initiation of onset [4]. Numerical studies of natural convection inside a cubical cavity for viscoplastic fluids have been presented by Karimfazli and Frigaard [2] and Turan, Chakraborty, and Poole [3].…”

Section: Introductionmentioning

confidence: 99%

“…Karimfazli and Frigaard have solved a 2D problem analogous to our experiments. As the domain does not have buoyant forces initially, the flow takes a finite time before it starts [4]. Turan, Chakraborty and Poole have given the flow profile for the vertical velocity component in a 2-D flow field [3].…”

Section: Introductionmentioning

confidence: 99%

Experimental Analysis Of Carbopol Gels Inside a Cubical Cavity Across Differentially Heated Plates

Jadhav¹,

Rossi²,

Karimfazli³

2020

Progress in Canadian Mechanical Engineering. Volume 3

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Viscoplastic fluids are the class of fluids with a yield stress that governs their ability to flow. This research deals with the effect of temperature difference applied across a viscoplastic fluid (carbopol gel) and studies the various flow regimes depending on the onset of the flow. Reasonable efforts have been made to estimate the experimental flow onset times and investigate the onset of the flow at different yield stress values. The idea behind the proposed research is to characterize the natural convection of yield stress fluids. The flow field characterization is carried out using a PIV system. The post processing is done using PIVlab, a useful add-on for MATLAB. In this paper, ∆T refers to the temperature difference across the cavity. We investigated that noflow ∆T is increased as yield stress increases. We also found that flow development is delayed with an increase in yield stress and decreases with increasing ∆T for all carbopol concentrations.

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“…Natural convection of viscoplastic fluids in a cavity in the absence of the mass transfer has been studied in the last decade by some researchers numerically and experimentally. [47][48][49][50][51][52][53][54][55][56][57][58][59][60][61] However, double diffusive natural convection (driven by cooperating thermal and solutal buoyancy forces) of viscoplastics in a cavity is limited to our recent investigations into this area. Kefayati 62 simulated double-diffusive natural convection, studying Soret and Dufour effects and viscous dissipation in an inclined square cavity filled with Bingham fluid by LBM.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulation of double-diffusive natural convection of viscoplastic fluids in a porous cavity

Kefayati

2019

Physics of Fluids

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In this paper, a two-dimensional double diffusive natural convection in a porous cavity filled with viscoplastic fluids is simulated. The dimensional and non-dimensional macroscopic equations are presented, employing the Papanastasiou model for viscoplastic fluids and the Darcy-Brinkman-Forchheimer model for porous media. An innovative approach based on a modification of the lattice Boltzmann method is explained and validated with previous studies. The effects of the pertinent dimensionless parameters are studied in different ranges. The extensive results of streamlines, isotherms, and isoconcentration contours, yielded/unyielded regions, and local and average Nusselt and Sherwood numbers are presented and discussed.

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Flow, onset and stability: Qualitative analysis of yield stress fluid flow in enclosures

Cited by 12 publications

References 15 publications

Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle

Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle

Experimental Analysis Of Carbopol Gels Inside a Cubical Cavity Across Differentially Heated Plates

Lattice Boltzmann simulation of double-diffusive natural convection of viscoplastic fluids in a porous cavity

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