Rayleigh-Bénard convection heat transfer in nanoparticle suspensions

Corcione, Massimo

doi:10.1016/j.ijheatfluidflow.2010.08.004

Cited by 114 publications

(39 citation statements)

References 60 publications

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“…This observation is made considering the fact that the phenomenological laws used in the study are based on static conditions. Corcione [11] has made a very apt comment on this aspect.…”

Section: Resultsmentioning

confidence: 99%

“…In order to make a linear stability analysis we consider the linear and steady-state version of Eqs. (11)(12) and assume the solutions to be periodic waves of the form [9]:…”

Section: Linear Stability Analysismentioning

confidence: 99%

“…(11)(12) and adopting the standard orthogonalization procedure for the Galerkin expansion, the following nonlinear autonomous system (generalized tri-modal Lorenz model) of differential equations is obtained:…”

Section: Local Nonlinear Stability Analysismentioning

confidence: 99%

“…Corcione [11] in his paper on Rayleigh-Bénard convection of nanoliquids assumed a single-phase model for nanoliquid. In this paper two empirical equations are adopted from earlier works [11,25,35] for the evaluation of the effective value of nanoliquid thermal conductivity and dynamic viscosity based on a wide variety of experimental data reported in the literature. The other effective properties are evaluated by the traditional mixing theory.…”

Section: Introductionmentioning

confidence: 99%

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Amplitude Equation and Heat Transport for Rayleigh–Bénard Convection in Newtonian Liquids with Nanoparticles

Siddheshwar

Meenakshi

2015

Int. J. Appl. Comput. Math

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Rayleigh-Bénard convection in liquids with nanoparticles is modelled as a single phase system with liquid properties like density, viscosity, thermal expansion coefficient, heat capacity and thermal conductivity modified by the presence of the nanoparticles. Expressions for the thermophysical properties are chosen from earlier works. The tri-modal Lorenz model is derived under the assumptions of Boussinesq approximation and small-scale convective motions. Ginzburg-Landau equation is arrived at from the generalized Lorenz model. The amplitudes of convective modes required for estimating the heat transport are determined analytically. A table is prepared documenting the actual values of the thermophysical properties of water, ethylene-glycol, engine-oil and glycerine with different nanoparticles, namely copper, copper oxide, titania, silver and alumina, and Nusselt number is calculated. Enhanced thermal conductivity being the reason for the enhancement of heat transport due to the presence of the nanoparticles is shown. Detailed discussion is made on the percentage increase of heat transport in twenty Newtonian nanoliquids compared to that in Newtonian liquids without nanoparticles.

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“…This observation is made considering the fact that the phenomenological laws used in the study are based on static conditions. Corcione [11] has made a very apt comment on this aspect.…”

Section: Resultsmentioning

confidence: 99%

“…In order to make a linear stability analysis we consider the linear and steady-state version of Eqs. (11)(12) and assume the solutions to be periodic waves of the form [9]:…”

Section: Linear Stability Analysismentioning

confidence: 99%

Section: Local Nonlinear Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Amplitude Equation and Heat Transport for Rayleigh–Bénard Convection in Newtonian Liquids with Nanoparticles

Siddheshwar

Meenakshi

2015

Int. J. Appl. Comput. Math

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“…Corcione [89,90], offered an empirical relation for the effective thermal conductivity of nanofluids based on literature experimental data with a 1.86% standard deviation of error. His …”

Section: Hybrid Model and Other Effectsmentioning

confidence: 99%

A Review of Thermal Conductivity Models for Nanofluids

Aybar

Sharifpur

Azizian

et al. 2015

Heat Transfer Engineering

203

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Double diffusive convection and thermodiffusion of fullerene–toluene nanofluid in a porous cavity

2013

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The full Brinkman equation coupled with the heat and mass transfer equations was solved numerically using the finite element technique. A square cavity filled with hydrocarbon nanofluid of fullerene–toluene with different concentration values of fullerene was subject to various heating conditions. Results have confirmed that in the presence of nanofluid a heat transfer enhancement is present until a certain amount of initial concentration of the nanofluids. The heat convection coefficient was found to be 16% higher when nanofluid is used as the wetting fluid. In addition, it was determined that the concentration of fullerene in toluene has its limitation in heat removal enhancement. In fact, beyond 5% of fullerene, there is no noticeable enhancement of the heat removal in the system. The model was also used to study thermodiffusion effects in the cavity. Despite the small value and negligible effects of thermodiffusion in general heat and mass transfer problems, which is <5% in the case of studying nanofluids, a maximum value of 20% variation of fullerene concentration has been detected. Moreover, fullerene separation was investigated for different heating intensities. As the Rayleigh number increases, the mixing was found to reduce the separation, which diminishes the Soret effect in the system.

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Rayleigh-Bénard convection heat transfer in nanoparticle suspensions

Cited by 114 publications

References 60 publications

Amplitude Equation and Heat Transport for Rayleigh–Bénard Convection in Newtonian Liquids with Nanoparticles

Amplitude Equation and Heat Transport for Rayleigh–Bénard Convection in Newtonian Liquids with Nanoparticles

A Review of Thermal Conductivity Models for Nanofluids

Double diffusive convection and thermodiffusion of fullerene–toluene nanofluid in a porous cavity

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