Interaction Between Natural Convection and Radiation in a Square Cavity Heated From Below

Ridouane, El Hassan; Hasnaoui, M.; Amahmid, A.; Raji, A.

doi:10.1080/10407780490250373

Cited by 83 publications

(44 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The presence of nanoparticles in our study may be the reason for obtaining a solution other than those for the standard pure fluid single-phase solutions, outlined in ref. [35]. When a single-phase model is used to find the streamlines in a bottom-heated cell at high Ra numbers (106), the presence of nanoparticles makes the fluid more viscous and stable and a single-cell solution is obtained, similar to that reported in ref.…”

Section: Resultsmentioning

confidence: 48%

Numerical Simulation of Natural Convection of a Nanofluid in an Inclined Heated Enclosure Using Two-Phase Lattice Boltzmann Method: Accurate Effects of Thermophoresis and Brownian Forces

Ahmed¹,

Eslamian²

2016

Nano Online

View full text Add to dashboard Cite

(http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.Laminar natural convection in differentially heated (β = 0°, where β is the inclination angle), inclined (β = 30° and 60°), and bottom-heated (β = 90°) square enclosures filled with a nanofluid is investigated, using a two-phase lattice Boltzmann simulation approach. The effects of the inclination angle on Nu number and convection heat transfer coefficient are studied. The effects of thermophoresis and Brownian forces which create a relative drift or slip velocity between the particles and the base fluid are included in the simulation. The effect of thermophoresis is considered using an accurate and quantitative formula proposed by the authors. Some of the existing results on natural convection are erroneous due to using wrong thermophoresis models or simply ignoring the effect. Here we show that thermophoresis has a considerable effect on heat transfer augmentation in laminar natural convection. Our non-homogenous modeling approach shows that heat transfer in nanofluids is a function of the inclination angle and Ra number. It also reveals some details of flow behavior which cannot be captured by single-phase models. The minimum heat transfer rate is associated with β = 90° (bottom-heated) and the maximum heat transfer rate occurs in an inclination angle which varies with the Ra number.

show abstract

Section: Resultsmentioning

confidence: 48%

Numerical Simulation of Natural Convection of a Nanofluid in an Inclined Heated Enclosure Using Two-Phase Lattice Boltzmann Method: Accurate Effects of Thermophoresis and Brownian Forces

Ahmed¹,

Eslamian²

2016

Nano Online

View full text Add to dashboard Cite

show abstract

“…The numerical code was also verified comparing our results against the results for natural convection and surface thermal radiation in a square cavity heated from below [33]. The convective and radiative Nusselt numbers of the hot wall were compared with the ones of [33], obtaining good agreement.…”

Section: Comparison To the Conjugate Heat Transfer Results: Square Camentioning

confidence: 93%

“…The convective and radiative Nusselt numbers of the hot wall were compared with the ones of [33], obtaining good agreement. Table 2 shows the comparison results for Ra = 10 6 and e = 0.5, for Nu rad , the maximum Table 1 Results comparisons for the differentially heated cavity problem for the Ra = 10 6 .…”

Section: Comparison To the Conjugate Heat Transfer Results: Square Camentioning

confidence: 98%

“…The numerical code was verified comparing the results against the benchmark problem results for laminar natural convection in a differentially heated square cavity reported by [32], also our results were compared against the results for laminar natural convection and surface thermal radiation in a square cavity heated from below [33] and the analytical solution of the velocity vertical component for a fully developed flux in a vertical canal under mixed convection [34].…”

Section: Numerical Methods and Verificationmentioning

confidence: 97%

See 1 more Smart Citation

Thermal performance of a double pane window with a solar control coating for warm climate of Mexico

Xamán

Jiménez-Xamán

Álvarez

et al. 2016

Applied Thermal Engineering

View full text Add to dashboard Cite

“…Recent back, while studying coupling between radiation and natural convection in a square cavity entirely heated from below, Ridouane et al [8][9] proved also that the multiplicity of solutions is possible. Recently, Ridouane and Hasnaoui [10] nu+merically studied the effect of surface radiation on multiple natural convection solutions in a square cavity partially heated from below.…”

Section: Introductionmentioning

confidence: 99%

Study of Combined Free Convection and Surface Radiation in Closed Cavities Partially Heated From Below

Singh¹,

Singh²

2015

IJHT

View full text Add to dashboard Cite

The results of a numerical investigation of the problem of two-dimensional, steady, incompressible, laminar natural convection with surface radiation from a partially heated bottom wall of closed cavities are reported. The governing equations, written in vorticity-stream function form derived from primitive variable N-S equations, are solved using Finite Volume Method. Results are presented for various parameters in the range of Ra = 10 3 -10 6 , A = 1-4, W = 0.25-1, ε = 0.05-0.8. For surface radiation calculations, radiosity-irradiation formulation has been used. Based on numerical data, correlations have been developed for convective as well as radiative heat transfers. Results show that Nusselt number increases with the increase of heated bottom part ratio and decreases with the increase of aspect ratio.

show abstract

Interaction Between Natural Convection and Radiation in a Square Cavity Heated From Below

Cited by 83 publications

References 9 publications

Numerical Simulation of Natural Convection of a Nanofluid in an Inclined Heated Enclosure Using Two-Phase Lattice Boltzmann Method: Accurate Effects of Thermophoresis and Brownian Forces

Numerical Simulation of Natural Convection of a Nanofluid in an Inclined Heated Enclosure Using Two-Phase Lattice Boltzmann Method: Accurate Effects of Thermophoresis and Brownian Forces

Thermal performance of a double pane window with a solar control coating for warm climate of Mexico

Study of Combined Free Convection and Surface Radiation in Closed Cavities Partially Heated From Below

Contact Info

Product

Resources

About