Numerical study of the flow in a square cavity filled with Carbopol-TiO2 nanofluid

Ouyahia, Seif-Eddine; Benkahla, Youb Khaled; Berabou, Welid; Boudiaf, Ahlem

doi:10.1016/j.powtec.2017.01.026

Cited by 19 publications

(7 citation statements)

References 41 publications

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“…We consider the base fluid to be a Bingham plastic liquid and both the base fluid and nanoparticles are in a thermal equilibrium state. We consider the thermophysical properties of the base fluid and nanoparticles the same as considered in several existing studies (Garoosi et al , 2014; Hojjat et al , 2011; Ouyahia et al , 2017) and are provided in Table 1. Under the low volume fraction of nanoparticles consideration, the thermophysical properties of the hybrid nanofluids can be determined through the linear model (Shah et al , 2020; Xu, 2019).…”

Section: Mathematical Modelmentioning

confidence: 99%

Heat transfer enhancement compared to entropy generation by imposing magnetic field and hybrid nanoparticles in mixed convection of a Bingham plastic fluid in a ventilated enclosure

Dutta

Bhattacharyya

Pop

2022

HFF

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Purpose The purpose of this study is to analyze the nonhomogeneous model on the mixed convection of Al2O3–Fe3O4 Bingham plastic hybrid nanofluid in a ventilated enclosure subject to an externally imposed uniform magnetic field. Entropy generation and the pressure drop are determined to analyze the performance of the heat transfer. The significance of Joule heating arising due to the applied magnetic field on the heat transfer of the yield stress fluid is described. Design/methodology/approach The ventilation in the enclosure of heated walls is created by an opening on one vertical wall through which cold fluid is injected and another opening on the opposite vertical wall through which fluid can flow out. Findings This study finds that the inclusion of Fe3O4 nanoparticles with the Al2O3-viscoplastic nanofluid augments the heat transfer. This rate of enhancement in heat transfer is higher than the rate by which the entropy generation is increased as well as the enhancement in the pressure drop. The yield stress has an adverse effect on the heat transfer; however, it favors thermal mixing. The magnetic field, which is acting opposite to the direction of the inlet jet, manifests heat transfer of the viscoplastic hybrid nanofluid. The horizontal jet of cold fluid produces the optimal heat transfer. Originality/value The objective of this study is to analyze the impact of the inclined cold jet of viscoplastic electrically conducting hybrid nanofluid on heat transfer from the enclosure in the presence of a uniform magnetic field. The combined effect of hybrid nanoparticles and a magnetic field to enhance heat transfer of a viscoplastic fluid in a ventilated enclosure has not been addressed before.

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Section: Mathematical Modelmentioning

confidence: 99%

Heat transfer enhancement compared to entropy generation by imposing magnetic field and hybrid nanoparticles in mixed convection of a Bingham plastic fluid in a ventilated enclosure

Dutta

Bhattacharyya

Pop

2022

HFF

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“…where _ cÃ is the dimensionless shear rate, and M = mU 0 /D h represents the dimensionless exponential growth parameter. To approximate the ideal Bingham model, the value of M should be large, typically equals to 10,000 [5,[34][35][36].…”

Section: Mathematical Formulation and Numerical Modelingmentioning

confidence: 99%

3D analysis of the combined effects of thermal buoyancy and viscous dissipation on the mixed convection of Bingham plastic fluid in a rectangular channel

Danane¹,

Boudiaf

Boutra

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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The present study investigates numerically the three-dimensional mixed convection flow behavior of a Bingham plastic fluid within a rectangular horizontal duct. The latter has a square cross section, which is symmetrically heated at uniform wall temperature. The effect of the viscous dissipation on the hydrodynamic and thermal fields is taking into account through the energy equation. The finite volume method is used to discretize the governing equations, and the resulting algebraic system is solved iteratively by TDMA algorithm. The simulations are conducted for different values of the Grashof number (10 4^| Gr |^5 9 10 5), the Brinkman number (0^| Br |^10), and the Bingham number (10^| Bn |^20), for Re = 100 and Pr = 50. The results are analyzed through the distribution of the Nusselt number, the temperature and velocity profiles as well as unyielded plugs. For Br = 0, the Grashof number variation affects greatly the heat transfer and the fluid flow, in particular at the duct intermediate region. However, for Br = 0, the Grashof number variation effect is noticeable in both the central and the fully developed regions. Moreover, the combination of Grashof, Brinkman, and Bingham numbers constitutes pertinent parameters control of the unyielded plugs.

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“…The area of viscoplastic flows has been an area of interest for a long time. The square enclosure has extensively been investigated numerically, in natural and forced convection [14,15], in lid-driven [16] benchmark cases, and also experimentally [17]. Various geometries have also been investigated such as flows in channels and ducts [22], in the so-called Backward Facing step [23], through contraction-expansions [18], around cylinders [19], in T-Branch configurations [20], in peristaltic flows [21], etc.…”

Section: Introductionmentioning

confidence: 99%

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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Numerical study of the flow in a square cavity filled with Carbopol-TiO2 nanofluid

Cited by 19 publications

References 41 publications

Heat transfer enhancement compared to entropy generation by imposing magnetic field and hybrid nanoparticles in mixed convection of a Bingham plastic fluid in a ventilated enclosure

Heat transfer enhancement compared to entropy generation by imposing magnetic field and hybrid nanoparticles in mixed convection of a Bingham plastic fluid in a ventilated enclosure

3D analysis of the combined effects of thermal buoyancy and viscous dissipation on the mixed convection of Bingham plastic fluid in a rectangular channel

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

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