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Research Papers: Porous Media

Analysis of Heat Transfer and Entropy Generation in a Channel Partially Filled With N-Layer Porous Media

[+] Author and Article Information
Kun Yang

School of Energy and Power Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: yangk@hust.edu.cn

Hao Chen

School of Energy and Power Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: ch_hust@163.com

Jiabing Wang

School of Energy and Power Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: wjb@hust.edu.cn

1Corresponding authors.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 30, 2017; final manuscript received December 17, 2017; published online April 11, 2018. Editor: Portonovo S. Ayyaswamy.

J. Heat Transfer 140(8), 082601 (Apr 11, 2018) (16 pages) Paper No: HT-17-1518; doi: 10.1115/1.4038909 History: Received August 30, 2017; Revised December 17, 2017

Convective heat transfer in a channel partially filled with porous medium has received a lot of attention due to its wide engineering applications. However, most researches focused on a channel partially filled with single layer porous medium. In this paper, we will analyze the heat transfer and entropy generation inside a channel partially filled with N-layer porous media. The flow and the heat transfer in the porous region are described by the Darcy–Brinkman model and the local thermal nonequilibrium model, respectively. At the porous-free fluid interface, the momentum and the heat transfer are described by the stress jump boundary condition and the heat flux jump boundary condition, respectively; while at the interface between two different porous layers, the momentum and the heat transfer are described by the stress continuity boundary condition and the heat flux continuity boundary condition, respectively. The analytical solutions for the velocity and temperature in the channel are derived and used to calculate the overall Nusselt number, the total entropy generation rate, the Bejan number, and the friction factor. Furthermore, the performances of the flow and heat transfer of a channel partially filled with third-layer porous media are studied.

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Figures

Grahic Jump Location
Fig. 1

Schematics of the channel partially filled with N-layer porous media

Grahic Jump Location
Fig. 2

Comparison between the analytical solution and the numerical solution: (a) velocity profile and (b) temperature profile

Grahic Jump Location
Fig. 3

Velocity profile, temperature profile, local entropy generation rate, and local Bejan number of the channel partially filled with third-layer porous media

Grahic Jump Location
Fig. 4

Variations of the Nusselt number, the total entropy generation rate, the average Bejan number, and the friction factor with respect to the stress jump coefficient

Grahic Jump Location
Fig. 5

Variations of the Nusselt number, the total entropy generation rate, and the average Bejan number with respect to the interface Biot number at the porous-free fluid interface

Grahic Jump Location
Fig. 6

Variation of the Nusselt number, the total entropy generation rate, the average Bejan number, and the friction factor with respect to the thickness of free fluid layer

Grahic Jump Location
Fig. 7

Variations of the total entropy generation rate and the overall Nusselt number with respect to k0,3

Grahic Jump Location
Fig. 8

Variation of the entropy generation rate resulted from different sources with respect to k0,3: (a) Pe=3.2×104 and (b) Pe=3.2×106

Grahic Jump Location
Fig. 9

Variation of the average Bejan number with respect to k0,3

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