Effects of Temperature-Dependent Viscosity on Natural Convection in Porous Media

Chou, Huann-Ming; Wu, Hung‐Wei; Lin, I-Fu; Yang, Wei Jen; Cheng, Ming Lin

doi:10.1080/10407782.2015.1012864

Cited by 13 publications

(5 citation statements)

References 14 publications

(15 reference statements)

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“…To the best of our knowledge, these analyses have never been performed for a problem involving NC within a porous enclosure. Yet, NC in porous enclosure has been largely investigated for several purposes Oztop et al (2009); Das et al (2017) and several authors have contributed important results for such a configuration Bejan (1979); Prasad and Kulacki (1984); Beckermann et al (1986); Gross et al (1986); Moya et al (1987); Lai and Kulacki (1988); Baytaş (2000); Saeid and Pop (2004); Saeid (2007); Oztop et al (2009); Sojoudi et al (2014); Chou et al (2015); Mansour and Ahmed (2015).…”

Section: Introductionmentioning

confidence: 99%

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Fajraoui

Fahs

Younès

et al. 2017

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Fajraoui

Fahs

Younès

et al. 2017

International Journal of Heat and Mass Transfer

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“…There are quite few papers concerning the effect of the variable properties on fluid flow and heat transfer inside the porous cavities (see Blythe and Simpkins 1981;Guo and Zhao 2005;Hooman and Gurgenci 2008;Mehta and Sood 1992;Umavathi 2015;Chou et al 2015). For example, Blythe and Simpkins (1981) have studied free convection inside a fluid-saturated porous layer using the integral relations in the case of the temperature-dependent viscosity.…”

Section: Introductionmentioning

confidence: 98%

Unsteady Natural Convection with Temperature-Dependent Viscosity in a Square Cavity Filled with a Porous Medium

2015

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A numerical investigation is implemented on the unsteady natural convection with a temperature-dependent viscosity inside a square porous cavity. The vertical walls of the cavity are kept at constant but different temperatures, while the horizontal walls are adiabatic. The mathematical model formulated in dimensionless stream function, vorticity and temperature variables is solved using implicit finite difference schemes of the second order. The governing parameters are the Rayleigh number, Darcy number, viscosity variation parameter and dimensionless time. The effects of these parameters on the average Nusselt number along the hot wall as well as on the streamlines and isotherms are analyzed. The results show an intensification of convective flow and heat transfer with an increase in the viscosity variation parameter for the porous media, while in the case of pure fluid, the effect is opposite.

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“…Variable viscosity flow (VVF) arises from the interaction of fluids with different viscosities within a porous medium, resulting in intricate flow patterns (Chou et al., 2015; Yih, 1961). These variations in viscosity can arise from compositional differences, temperature gradients, or the presence of dissolved substances (Animasaun, 2015).…”

Section: Introductionmentioning

confidence: 99%

An Analytical Solution for Variable Viscosity Flow in Fractured Media: Development and Comparative Analysis With Numerical Simulations

Younes,

Rajabi,

Rezaiezadeh Roukerd

et al. 2024

Water Resources Research

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Explicit fracture models often use analytical solutions for predicting flow in fractured media, usually assuming uniform fluid viscosity for simplicity. This assumption, however, can be inaccurate as fluid viscosity varies due to factors like composition, temperature, and dissolved substances. Our study, recognizing these discrepancies, abandons this uniform viscosity assumption for a more realistic model of variable viscosity flow, focusing on viscous displacement scenarios. This includes instances like injecting viscous surfactants for hydrocarbon recovery in fractured reservoirs or soil decontamination. This presents a significant challenge, enhancing our understanding of transport within fractures, mainly governed by advection. Our study centers on a low‐permeability rock matrix intersected by two fractures with variable apertures. We employ two methods: an analytical approach with a new solution and numerical simulations with two distinct in‐house codes, discretizing both the rock matrix and fractures with two‐dimensional triangular elements. The first code uses a Discontinuous Galerkin finite element method, while the second utilizes a finite‐volume method, allowing a comprehensive comparison of solutions. Additionally, we investigate parameter identifiability, like fracture apertures and viscosity ratios, using breakthrough curves from our analytical solution, applying the Markov Chain Monte Carlo technique.

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Effects of Temperature-Dependent Viscosity on Natural Convection in Porous Media

Cited by 13 publications

References 14 publications

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Unsteady Natural Convection with Temperature-Dependent Viscosity in a Square Cavity Filled with a Porous Medium

An Analytical Solution for Variable Viscosity Flow in Fractured Media: Development and Comparative Analysis With Numerical Simulations

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