A Numerical Study of Developing Free Convection Between Isothermal Vertical Plates

Naylor, David; Floryan, J. M.; Tarasuk, J. D.

doi:10.1115/1.2910610

Cited by 91 publications

(45 citation statements)

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“…The present results for the local Nusselt number are in better agreement with the experimental ones as shown in Figure 3(a). A comparison of the average Nusselt number (Nu) with experimental results by Elenbaas [1] and numerical results by Naylor et al [7] for di erent Rayleigh number is shown in Figure 3(b) and Table I. Good agreement between the present results and similar ones reported in the literature is indicated by Figure 3(b).…”

Section: Resultssupporting

confidence: 90%

“…These calculations included the in uence of mesh sizes of 25 × 100, 50 × 100, 50 × 200 and 100 × 300 on the mean vertical velocity at section y=L = 0:77. The results of these calculations are shown in Figure 2 [6] and similar numerical results by Naylor et al [7]. The comparison is for the same Rayleigh number (3.11) and aspect ratio (L=b = 24).…”

Section: Resultsmentioning

confidence: 77%

“…(a) Comparison of local Nusselt number distribution with experimental data of Wirtz and Haag [6] and Numerical data of Naylor et al [7] for a vertical channel; and (b) comparison of average Nusselt number results with experimental data of Elenbass [1] and numerical data of Naylor et al [7] for a vertical channel. indicates a reverse ow region in the vicinity of the lower plate close to the exit section.…”

Section: Present Calculation Experimental Results [ 1 ]mentioning

confidence: 99%

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Numerical investigation of natural convection inside an inclined parallel-walled channel

Said¹,

Habib²,

Badr³

et al. 2005

Int. J. Numer. Meth. Fluids

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SUMMARYSteady two-dimensional natural convection in an inclined parallel-walled channel was investigated numerically. The full elliptic forms of conservation equations were solved together and the velocity vectors, temperature contours and local and average Nusselt number distribution were obtained. The comparisons of local and average Nusselt number with published experimental and numerical results indicate very good agreement. Results are presented for a single aspect ratio, L=b = 24, over the range of Rayleigh number of 3 -1000 and angle of inclination 0 -90• . The results indicate that the overall channel average Nusselt number is reduced as the inclination angle is increased. Signiÿcant reductions in the overall Nusselt number are exhibited at high angle of channel inclination.

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Section: Resultssupporting

confidence: 90%

Section: Resultsmentioning

confidence: 77%

Section: Present Calculation Experimental Results [ 1 ]mentioning

confidence: 99%

See 1 more Smart Citation

Numerical investigation of natural convection inside an inclined parallel-walled channel

Said¹,

Habib²,

Badr³

et al. 2005

Int. J. Numer. Meth. Fluids

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“…Naylor et al [37] solved the full elliptic forms of the governing equations for pure natural convection using inlet flow boundary conditions based on the Jeffrey-Hamel flow in order to represent more realistically the entrance flow. Their solutions validated the inlet pressure approximation (p = −ρ 0 w 2 /2) commonly used in parabolic formulations.…”

Section: Channel Extensionsmentioning

confidence: 99%

Effect of surface radiation on natural convective flows and onset of flow reversal in asymmetrically heated vertical channels

Bousetta

Chénier

et al. 2013

International Journal of Thermal Sciences

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To cite this version:R. Li, M. Bousetta, Eric Chénier, Guy Lauriat. Effect of surface radiation on natural convective flows and onset of flow reversal in asymmetrically heated vertical channels. International Journal of Thermal Sciences, Elsevier, 2013, 65 (-), pp.9-27. <10.1016/j.ijthermalsci.2012.10.023>. Effect of surface radiation on natural convective flows and onset of flow reversal in asymmetrically heated vertical channels AbstractNumerical solutions on the influence of surface radiation on the laminar air flow induced by natural convection in vertical, asymmetrically-heated channels are discussed. Variable property effects are accounted for in a full-elliptic mathematical formulation. The density variation is determined from the state equation for ideal gas. The experimental design and data reported in Webb and Hill [1] are taken as the base cases for carrying out the computations. The occurrence of flow reversals is first considered and revisited for pure natural convection, and the Nusselt number correlations derived from the numerical results are favorably compared with those reported in [1]. It is shown that the general effect of surface radiation is to delete the onset of pocketlike recirculations at the top part of the channel, to reduce the heated wall temperatures, and to increase the facing wall temperatures. Comparisons with usual methods used for decoupling the surface radiation effects are discussed. In the range of parameters investigated, increases in differences between inlet and maximum wall temperatures up to 200 K are shown to have small influences on the flow field and negligible effects on heat transfer performances.Keywords: Natural convection, surface radiation, vertical channels, flow reversal, variable property effects, numerical simulations order of consistency of the numerical scheme β thermal coefficient of volumetric expansion,

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“…The shapes of the walls at the entrance region, with sharp angles or smooth rounded surfaces, affect also significantly the fluid flows and heat transfer. Using entrance walls with right angles, Naylor et al [11] predicted a fluid separation at the channel inlet which is approximately correlated with the dimensional flow rate. Their inlet boundary conditions were based on JeffreyHamel flow which consists in a similarity solution of isothermal flow caused by the presence of a source or sink at the point of intersection of two walls.…”

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confidence: 99%

Difficulties of Computing Natural Convection Flow in an Open Cavity

Bangalee¹,

Begum²,

Ferdows³

et al. 2017

ujam

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The buoyancy driven natural convection flowin an open cavity has become an important issue to study. In this study, the difficulties of computing natural convection flow in open cavity with an extended computational domain around the cavity are reported. The k ε − turbulence model is used for the computation to capture the turbulence nature of the air flow inside the cavity. ANSYS CFX software is used to solve the governing equations in this study. Effects of different aspect ratio and different temperature at the left wall and thus the temperature difference between the left and the right walls are analyzed numerically as well. Average mass flow, temperature, velocity etc. at different location in the cavity for different boundary conditions are studied and reported. A comparison between the present work and a previous work is also reported here to validate the methodology. Finally, relations among non-dimensional parameters (e.g. Ra, Re, Pr, Nu numbers) are also presented.

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A Numerical Study of Developing Free Convection Between Isothermal Vertical Plates

Cited by 91 publications

References 0 publications

Numerical investigation of natural convection inside an inclined parallel-walled channel

Numerical investigation of natural convection inside an inclined parallel-walled channel

Effect of surface radiation on natural convective flows and onset of flow reversal in asymmetrically heated vertical channels

Difficulties of Computing Natural Convection Flow in an Open Cavity

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