Numerical simulations of complex yield-stress fluid flows

Mitsoulis, Evan; Tsamopoulos, John

doi:10.1007/s00397-016-0981-0

Cited by 109 publications

(43 citation statements)

References 143 publications

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“…Complement to what's presented in our previous works [14][15][16][17][18][19][20], the main purpose of this contribution is to light-up the impact of some pertinent parameters, such the boundary layers' ratio and the buoyancy one; side by side with the polluting source dimension, to come out at the end with primary expressions that may predict the mean transfer rates of such complex fluids within the solid matrix. Such studied geometry may plot an interesting work for many industrial applications, especially in Refining and Petrochemical fields.…”

Section: Introductionmentioning

confidence: 94%

“…where   is the magnitude of the symmetric rate-of strain tensor   , which can be defined as: Noted that "m" is the exponential growth parameter of Papanastasiou [24] which is a function of both the yield stress τ 0 and the plastic viscosity μ p [17].…”

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

“…The solid matrix is assumed to be rigid, isotropic, homogeneous and in thermal equilibrium with the complex fluid [17,25]. The mass diffusion within the solid matrix is neglected side by side with Soret and Dufour effects.…”

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

“…SiC) [26]. Adopting the 2D Brinkman extension of the classical Darcy equation under steady-state conditions; the conservation equations which describe the transport phenomenon of the viscoplastic fluid within the porous square can be summarized as follows [17,[27][28][29][30]:…”

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

“…Such Viscoplastic materials can act as a Newtonian fluid under a specific shear stress value, and a gel-like material up to that value; what make the transfer rates predictions of such fluids so complicated, experimentally speaking or numerically [17]. Going far with its complexity, and within a porous matrix, both the porosity and the permeability could present the key factor to predict the behavior of yielded and unyielded regions [18][19].…”

Section: Introductionmentioning

confidence: 99%

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Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Ragui¹,

Boutra²,

Benkahla³

et al. 2018

IJHT

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Through our paper, thermosolutal convection of viscoplastic materials 'so called Bingham plastics' which occurs into a porous matrix with an inner pollutant source has been treated numerically, in the aim to light out the impact of some relevant parameters; such Lewis and porous Rayleigh numbers; as well as the buoyancy ratio and the source dimension one; on a such conjugate phenomenon. To do so, the physical model for the momentum conservation equations is made using the Brinkman extension of the classical Darcy equation. The set of coupled equations is solved using the finite volume method and the SIMPLER algorithm. The heat and solute source within the porous space has taken a circular shape. Simply said, our pollutant source is a transport pipe which presented in 2D.To handle the latter in Cartesian Coordinates; the Cartesian Cut-Cell approach was adopted. After a careful treatment of such double-diffusive convection within the Bingham-porous space; powerful expressions that expect the mean transfer rates in such industrial geometry are set forth as a function of the governing parameters. These correlations, which predicted with ±3% the numerical results, may count as a complement to previous Newtonian-fluid researches. It is to note that the validity of the computing code was ascertained by comparing our results with experimental data and numerical ones, already available in the literature.

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Section: Introductionmentioning

confidence: 94%

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Ragui¹,

Boutra²,

Benkahla³

et al. 2018

IJHT

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Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows

Mirkov

Ouyahia

Lahlou

et al. 2021

Current Problems in Experimental and Computational Engineering

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In the present paper, we discuss implementation details of a free and opensource numerical solver based on the finite volume method for numerical simulation of viscoplastic non-Newtonian fluids. In addition to the fact that they are involved in many industrial applications, both their physical properties and their rheological behavior make them challenging for numerical simulation. Viscoplastic fluids are known to behave as solid unless the shear stress reaches a critical level, known as yield-stress, beyond which they behave as liquid. In most cases, both yielded and unyielded regions coexist in the fluid domain. In mathematical model of viscoplastic fluid, the constitutive equation is a non-differentiable function. This is often overcome by using the approximate constitutive equation that has a regularized form, e.g. the Papanastasiou regularization model. Using the same approach, we assess the influence of regularization parameters on simulation convergence and results accuracy. In this study, we give implementation details of viscoplastic fluid models in freeCappuccino open-source Computational Fluid Dynamics code. Moreover, we perform validation on several well known benchmark cases and compare proposed approach with those existing in published literature. We also perform a parametric analysis and show the effect of Reynolds and Bingham numbers on the extent of the yielded regions. Conclusions of the study have relevance in practical application of computational fluid dynamics to viscoplastic fluids in particular and to non-Newtonian fluids in general.

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Progress in numerical simulation of yield stress fluid flows

2017

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Numerical simulations of viscoplastic fluid flows have provided a better understanding of fundamental properties of yield stress fluids in many applications relevant of natural and engineering sciences. In the first part of this paper, we review the classical numerical methods for the solution of the non-smooth viscoplastic mathematical models, highlight their advantages and drawbacks, and discuss more recent numerical methods that show promises for fast algorithms and accurate solutions. In the second part, we present and analyze a variety of applications and extensions involving viscoplastic flow simulations: yield slip at the wall, heat transfer, thixotropy, granular materials, combining elasticity, with multiple phases and shallow flow approximations. We illustrate from a physical viewpoint how fascinating the corresponding rich phenomena pointed out by these simulations are.

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Numerical simulations of complex yield-stress fluid flows

Cited by 109 publications

References 143 publications

Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Development and Validation of an Open-Source Finite-Volume Method Solver for Viscoplastic Flows

Progress in numerical simulation of yield stress fluid flows

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