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Book ChapterDOI

Simulation of Natural Convective Heat Transfer in a Triangular Enclosure Filled with Nanofluid: Buongiorno’s Mathematical Model

TL;DR: In this article, a triangular enclosure filled with water-based nanofluid under the influence of Brownian diffusion and thermophoresis is studied numerically in two cases by depending on wall boundary conditions.
Abstract: Natural convection of triangular enclosure filled with water-based nanofluid under the influence of Brownian diffusion and thermophoresis is studied numerically in two cases by depending on wall boundary conditions. The high (hot) temperature vertical wall and the insulated bottom wall are considered in case (i) and the other case the bottom wall is uniformly heated while the vertical wall is thermally insulated. In both cases, the inclined wall is maintained low temperature (i.e., cold inclined wall). The coupled governing vorticity–stream function formulation equations are employed by the help of finite difference method (FDM). The influence of the Rayleigh number, Lewis number on fluid flow, heat have been examined through graphically and discussed. It has been found that in the case of uniform heating is high sensitive to rising of the Ra, while the uniform heating of the left wall of the cavity is not so sensitive to changes of Ra.
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Journal ArticleDOI
TL;DR: In this article, the authors considered seven slip mechanisms that can produce a relative velocity between the nanoparticles and the base fluid and concluded that only Brownian diffusion and thermophoresis are important slip mechanisms in nanofluids.
Abstract: Nanofluids are engineered colloids made of a base fluid and nanoparticles (1-100 nm) Nanofluids have higher thermal conductivity' and single-phase heat transfer coefficients than their base fluids In particular the heat transfer coefficient increases appear to go beyond the mere thermal-conductivity effect, and cannot be predicted by traditional pure-fluid correlations such as Dittus-Boelter's In the nanofluid literature this behavior is generally attributed to thermal dispersion and intensified turbulence, brought about by nanoparticle motion To test the validity of this assumption, we have considered seven slip mechanisms that can produce a relative velocity between the nanoparticles and the base fluid These are inertia, Brownian diffusion, thermophoresis, diffusioplwresis, Magnus effect, fluid drainage, and gravity We concluded that, of these seven, only Brownian diffusion and thermophoresis are important slip mechanisms in nanofluids Based on this finding, we developed a two-component four-equation nonhomogeneous equilibrium model for mass, momentum, and heat transport in nanofluids A nondimensional analysis of the equations suggests that energy transfer by nanoparticle dispersion is negligible, and thus cannot explain the abnormal heat transfer coefficient increases Furthermore, a comparison of the nanoparticle and turbulent eddy time and length scales clearly indicates that the nanoparticles move homogeneously with the fluid in the presence of turbulent eddies so an effect on turbulence intensity is also doubtful Thus, we propose an alternative explanation for the abnormal heat transfer coefficient increases: the nanofluid properties may vary significantly within the boundary layer because of the effect of the temperature gradient and thermophoresis For a heated fluid, these effects can result in a significant decrease of viscosity within the boundary layer, thus leading to heat transfer enhancement A correlation structure that captures these effects is proposed

5,329 citations

Journal ArticleDOI
TL;DR: In this article, a model is developed to analyze heat transfer performance of nanofluids inside an enclosure taking into account the solid particle dispersion, where the transport equations are solved numerically using the finite-volume approach along with the alternating direct implicit procedure.

2,560 citations

Journal ArticleDOI
TL;DR: In this paper, the authors used the finite volume technique to solve the governing equations of heat transfer and fluid flow due to buoyancy forces in a partially heated enclosure using nanofluids.

1,783 citations

Journal ArticleDOI
TL;DR: In this paper, a two component non-homogenous equilibrium model is used for the nanofluid that incorporates the effects of Brownian motion and thermophoresis, and variable thermal conductivity and variable viscosity are taken into account in this work.

226 citations

Journal ArticleDOI
TL;DR: In this paper, the effects of nanoparticles transport in natural convection of Al 2 O 3 -water nanofluid on flow field and heat transfer in a square cavity have been investigated and comparisons between predictions of newly developed transport model and the homogeneous model have been made.

125 citations