Natural convection in a 2D-cavity with vertical isothermal walls: Cross-validation of two numerical solutions

Barletta, Antonio; Pinto, Fausto J.; Schio, Eugenia Rossi di; Zanchini, Enzo

doi:10.1016/j.ijthermalsci.2005.12.002

Cited by 12 publications

(6 citation statements)

References 20 publications

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“…In the present study, uniform flow temperature (T o ) and uniform flow velocity (u o ) were assumed at the channel entrance. The boundary layer approximation along with the uniform inlet velocity and temperatures is adopted in line with the previous studies (Aung and Worku, 1986b;Han, 1993;El-Shaarawi and Sarhan, 1980;Du et al, 1998;Barletta et al, 2006). Moreover, the justification of the boundary layer approximation and uniform inlet conditions for mixed convection in the entrance region of vertical channels can be found in the previous studies (Aung, 1987).…”

Section: Heat Transfer Enhancement 873mentioning

confidence: 96%

Heat transfer enhancement and pressure drop reduction due to mixed convection between two vertical parallel plates

Mokheimer

Sami

Yilbas

2010

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose -This paper's aim is to examine flow and heat transfer through vertical channels between parallel plates, which is of prime importance in the design of cooling systems for electronic equipment such as that of finned cold plates in general, plate-and-frame heat exchangers, etc. Design/methodology/approach -Numerical and analytical solutions are presented to investigate the heat transfer enhancement and the pressure drop reduction due to buoyancy effects (for buoyancy-aided flow) for the developing laminar mixed convection in vertical channel between parallel plates in the vicinity of the critical values of the buoyancy parameter (Gr/Re)crt that are obtained analytically. The numerical solutions are presented for a wide range of the buoyancy parameters Gr/Re that cover both of buoyancy-opposed and buoyancy-aided flow situations under each of the isothermal boundary conditions under investigation. Findings -Buoyancy parameters greater than the critical values result in building-up the pressure downstream of the entrance such that the vertical channel might act as a thermal diffuser with possible incipient flow reversal. Locations at which the pressure gradient vanishes and the locations at which the pressure-buildup starts have been numerically obtained and presented for all the investigated cases.Research limitations/implications -The study is limited to the laminar flow situation. Practical implications -The results clearly show that for buoyancy-aided flow, the increase of the buoyancy parameter enhances the heat transfer and reduces the pressure drop across the vertical channel. These findings are very useful for cooling channel or chimney designs. Originality/value -The study is original and presents new findings, since none of the previous studies reported the conditions for which pressure buildup might take place due to mixed convection in vertical channels between parallel plates.

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Section: Heat Transfer Enhancement 873mentioning

confidence: 96%

Heat transfer enhancement and pressure drop reduction due to mixed convection between two vertical parallel plates

Mokheimer

Sami

Yilbas

2010

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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“…Numerical and experimental studies for rectangular enclosures with two horizontal adiabatic walls and two vertical isothermal walls were studied for both square and slender cavities [14][15][16][17], and for inclined geometries [1,18]. Numerical models are also developed for enclosures in which one wall is heated and the other is cooled with uniform heat fluxes [19], or for parallel plate vertical channels with asymmetric wall heat fluxes or asymmetric wall temperatures [20].…”

Section: Introductionmentioning

confidence: 99%

An Analytical Model for Natural Convection in a Rectangular Enclosure with Differentially Heated Vertical Walls

et al. 2020

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This paper proposes an analytical model for natural convection in a closed rectangular enclosure filled by a fluid, with imposed heat fluxes at the vertical walls and adiabatic horizontal walls. The analytical model offers a simplified, but easy to handle, description of the temperature and velocity fields. The predicted temperature, velocity, and pressure fields are shown to be in agreement with those obtained from a reliable numerical model. The Nusselt numbers for both the analytical and numerical solutions are then calculated and compared, varying both the aspect ratio of the enclosure and the Rayleigh number. Based on the comparisons, it is possible to assess the dependence of the reliability of the analytical model on the aspect ratio of the enclosure, showing that the prediction error rapidly decreases with the increase of the enclosure slenderness.

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“…It has been observed that the overall values of the average Nusselt number are slightly lower than those obtained with the square obstacles. Barletta et al (2006) have done a numerical study in a 2-D rectangular enclosure. Results revealed that the elliptic boundaries enhance the mean Nusselt number and the dimensionless mean kinetic energy of the fluid as comparison than the rectangular cavity.…”

Section: Introductionmentioning

confidence: 99%

Convective Heat Transfer Analysis in an Arch Enclosure

Triveni¹,

Sen²,

Panua³

2015

Frontiers in Heat and Mass Transfer

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A numerical investigation through laminar natural convection has been executed to illuminate the effect of curvature ratio in an arch enclosure filled with water. The left side wall of the cavity is maintained at a higher temperature than that of the right side wall while the other walls are kept insulated. The governing equations such as continuity, momentum and energy equation are solved by finite volume method. The effect of pertinent parameters such as curvature ratio (1≤ CR ≤ 1.5) and Rayleigh number (1×10 4 ≤ Ra ≤ 1×10 6 ) and) on heat transfer are calculated by commercial available computational fluid dynamics software, FLUENT 6.3. The fluid flow and heat transfer are shown for fixed Pandtl number 6.5 by streamlines, isotherms and velocity contour. From the investigation, it has been reported that the varying height of the arch cavity and Rayleigh number playing a significant role in heat transfer rate. The variation in heat transfer is calculated in terms of average Nusselt number.

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Natural convection in a 2D-cavity with vertical isothermal walls: Cross-validation of two numerical solutions

Cited by 12 publications

References 20 publications

Heat transfer enhancement and pressure drop reduction due to mixed convection between two vertical parallel plates

Heat transfer enhancement and pressure drop reduction due to mixed convection between two vertical parallel plates

An Analytical Model for Natural Convection in a Rectangular Enclosure with Differentially Heated Vertical Walls

Convective Heat Transfer Analysis in an Arch Enclosure

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