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Research Papers

Thermal Simulation of the Symmetric and Asymmetric Arrangement of Barriers on Heat Transfer Enhancement in a Porous Gas Heat Exchanger

[+] Author and Article Information
Mohammad Mehdi Keshtkar

Associate Professor
Department of Mechanical Engineering,
Islamic Azad University,
Kerman 7635131167, Iran

Mohammad Dadkhodazadeh

Department of Mechanical Engineering,
Islamic Azad University,
Kerman 7635131167, Iran
e-mail: mkeshtkar54@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received September 16, 2017; final manuscript received January 16, 2018; published online May 8, 2018. Assoc. Editor: Amir Jokar.

J. Thermal Sci. Eng. Appl 10(5), 051001 (May 08, 2018) (13 pages) Paper No: TSEA-17-1354; doi: 10.1115/1.4039422 History: Received September 16, 2017; Revised January 16, 2018

In this paper, affecting parameters of porous medium to improve the rate of convective heat transfer in a two-dimensional porous gas heat exchanger (PGHE) for two arrangements (symmetric and asymmetric) of barriers are numerically investigated. Two barriers have been located on the top and bottom walls and one obstacle was placed in the central zone of the PGHE. In the present study, solving the momentum and energy equations has been done by Lattice–Boltzmann method with multiple-relaxation-time (LBM-MRT). The boundary conditions in both arrangements include the left and right walls which are kept at the cold constant temperature and both top and bottom walls are insulated. There is a volumetric heat source within the PGHE. The temperature of barriers and fixed obstacle are kept at hot temperature. In this study, impact of effective parameters in porous medium and heat transfer including dimensionless number of Darcy, porosity, and Rayleigh number on the flow and temperature fields has been investigated. According to the numerical results, it has been shown that the porous medium and barriers cause increase and improvement in the heat transfer within PGHE in both symmetrical and asymmetrical arrangements. The results also demonstrate that as dimensionless Darcy number increases, more convection occurs within the chamber. Examining arrangement of barriers shows that in asymmetrical arrangement, more space appears in chamber and convective heat transfer is done better.

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Figures

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Fig. 1

Problem geometry at (a) symmetric and (b) asymmetric arrangement

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Fig. 2

Solution algorithm for problem by LBM-MRT

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Fig. 3

Comparison of stream lines in the present study with work done by Kumar and Arul [14]

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Fig. 4

Investigating the effect of variation in dimensionless Darcy number on stream lines (Ra = 105, φ = 0.6). Da = 10−2, Da = 10−3, and Da = 10−5 (symmetrical arrangement) and Da = 10−2, Da = 10−3, and Da = 10−5 (asymmetrical arrangement).

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Fig. 5

Examining the effect of changes in Darcy number on isothermal lines (Ra = 105, φ = 0.6). Da = 10−2, Da = 10−3, and Da = 10−5 (symmetrical arrangement) and Da = 10−2, Da = 10−3, and Da = 10−5 (asymmetrical arrangement).

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Fig. 6

Special manner of Nusselt number calculation on (a) bottom and (b) top barrier

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Fig. 7

Changes of local Nusselt number with the Darcy number around the bottom barrier (φ = 0.6, Ra = 105). (a) symmetric and (b) asymmetric.

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Fig. 8

Changes of local Nusselt number with the Darcy number around the upper barrier (φ = 0.6, Ra = 105)

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Fig. 9

Examining Effect of porosity coefficient on Changes in stream lines (Da = 10−2, Ra = 105). (a) ϕ=0.2, (b) ϕ=0.6, and (c) ϕ=0.8 (symmetrical arrangement) and (a) ϕ=0.2, (b) ϕ=0.6, and (c) ϕ=0.8 (asymmetrical arrangement).

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Fig. 10

The effect of porosity coefficient on changes of isothermal lines (Da = 10−2, Ra = 105). (a) ϕ=0.2, (b) ϕ=0.6, and (c) ϕ=0.8 (symmetrical arrangement) and (a) ϕ=0.2, (b) ϕ=0.6, and (c) ϕ=0.8 (asymmetrical arrangement).

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Fig. 11

Variation in local Nusselt number by porosity coefficient around bottom barrier (Da = 10−2, Ra = 105). (a) symmetric and (b) asymmetric.

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Fig. 12

Variation in local Nusselt number by porosity coefficient around the top barrier (Da = 10−2, Ra = 105). (a) symmetric and (b) asymmetric.

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Fig. 13

Effect of changes of Rayleigh number on the stream lines (Da = 10−2, φ = 0.6). (a) Ra=103, (b) Ra = 104, and (c) Ra = 105 (symmetrical arrangement) and (a) Ra=103, (b) Ra = 104, and (c) Ra = 105 (asymmetrical arrangement).

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Fig. 14

Effect of variation in Rayleigh number on the isothermal lines (Da = 10−2, φ = 0.6). (a) Ra=103, (b) Ra = 104, and (c) Ra = 105 (symmetrical arrangement) and (a) Ra=103, (b) Ra = 104, and (c) Ra = 105 (asymmetrical arrangement).

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