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Research Papers

Numerical Study of Natural Convective Heat Transfer in a Two-Dimensional Cavity With Centrally Located Partition Utilizing Nanofluids

[+] Author and Article Information
S. H. Anilkumar1

Department of Mechanical Engineering, SCT College of Engineering, Trivandrum, Kerala 695018, Indiashakumar69@gmail.com

Biju T. Kuzhiveli

Department of Mechanical Engineering, National Institute of Technology, Kozhikode, Kerala 673601, India

1

Corresponding author. Also at: National Institute of Technology, Kozhikode, Kerala 673601, India

J. Thermal Sci. Eng. Appl 1(3), 031004 (Feb 18, 2010) (7 pages) doi:10.1115/1.4001048 History: Received June 18, 2009; Revised January 17, 2010; Published February 18, 2010; Online February 18, 2010

A two-dimensional single-phase natural convective heat transfer in a cavity with centrally located thin partition utilizing nanofluids has been numerically analyzed. The nanofluid used, which is composed of aluminum nanoparticles in suspension of Benzene, was provided at various solid volume fractions. The study is carried out numerically for a range of Rayleigh numbers, solid volume fractions, partition heights, and aspect ratios. Regions with the same velocity and temperature distributions are identified as a symmetry of sections. One-half of such a rectangular region is chosen as the computational domain, taking into account the symmetry about the thin partition. The governing equations are modeled by a stream function-vorticity formulation and are solved numerically by finite-difference schemes. Comparison with previously published numerical and experimental results showed excellent agreement. It is demonstrated that the partition height has a strong effect on both the heat transfer rate and the flow pattern. Results are presented in the form of streamlines and isotherm plots. The variation in the local Nusselt number along the thin partition provides valuable insight into the physical processes. A new correlation is proposed for the heat transfer studies in a wide range of thermal and geometric parameters.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic for the physical model

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Figure 2

Computational domain

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Figure 3

Comparison of the average Nusselt number for different Rayleigh numbers of the present computation with the numerical correlation of Khanafer (7)

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Figure 4

Comparison of the dimensionless temperature profile in a cavity with differentially heated walls between present result and the experimental result by Krane and Jesse (14)

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Figure 5

Stream lines and isotherms of the partitioned cavity for different Rayleigh numbers, hp of 0.5, Ar of 1.0, and nanofluid Benzene/Al for a solid volume fraction of 15%

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Figure 6

Stream lines and isotherms of the partitioned cavity of Rayleigh number of 105, hp of 0.5, Ar of 1.0, and nanofluid Benzene/Al for different solid volume fractions

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Figure 7

Stream lines and isotherms of the partitioned cavity for different partition heights, Ra of 104, Ar of 1.0, and nanofluid Benzene/Al for a solid volume fraction of 10%

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Figure 8

Stream lines and isotherms of the partitioned cavity for different aspect ratios, Ra of 104, hp of 0.5, and nanofluid Benzene/Al for a solid volume fraction of 10%

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Figure 9

Variation in the local Nusselt number along the partition for different Rayleigh numbers, hp of 0.5, Ar of 1.0, and nanofluid Benzene/Al for a solid volume fraction of 10%

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Figure 10

Variation in the local Nusselt number along the partition for different solid volume fractions, hp of 0.5, Ar of 1.0, and nanofluid Benzene/Al for a Rayleigh number of 105

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Figure 11

Variation in the local Nusselt number along the partition for different partition heights for a fixed value of the Rayleigh number of 104 and a solid volume fraction of 10%

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Figure 12

Comparison of the dimensionless temperature profiles at X=0.25 between the nanofluid and pure fluid (Benzene) for various Rayleigh numbers (Ra of 103 and 105)

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Figure 13

Comparison of the dimensionless temperature profiles at Y=0.5 between nanofluid and pure fluid (Benzene) for various Rayleigh numbers (Ra of 103 and 105)

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Figure 14

Comparison of the average Nusselt number between the numerical results and that obtained by the correlation for different Rayleigh numbers (hp of 0.5 and Ar of 1.0)

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