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Research Papers: Porous Media

Numerical Analysis of Fluid Flow and Heat Transfer in Entrance and Fully Developed Regions of a Channel With Porous Baffles

[+] Author and Article Information
Amin Davari

Department of Mechanical Engineering,
Tarbiat Modares University,
Tehran 14115-111, Iran
e-mail: Amin_davari_me@yahoo.com

Mehdi Maerefat

Department of Mechanical Engineering,
Tarbiat Modares University,
Tehran 14115-111, Iran
e-mail: Maerefat@modares.ac.ir

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received December 16, 2013; final manuscript received December 26, 2015; published online March 15, 2016. Assoc. Editor: Wei Tong.

J. Heat Transfer 138(6), 062601 (Mar 15, 2016) (10 pages) Paper No: HT-13-1648; doi: 10.1115/1.4032638 History: Received December 16, 2013; Revised December 26, 2015

In the present study, analysis of fluid flow and heat transfer in the entrance and periodically fully developed regions of a channel with porous baffles is numerically studied. The Navier–Stokes and Brinkman–Forchheimer equations are used to model the fluid flow in the open and porous regions. The flow is assumed to be laminar. A finite-volume based method in conjunction with the SIMPLE algorithm is used to solve the equations. The local thermal equilibrium model is adopted in the energy equation to evaluate the solid and fluid temperatures. The effects of parameters such as baffle height, baffle spacing, Reynolds number, and thermal conductivity ratio between the porous baffles and the fluid on the flow field and local heat transfer rate are studied at relatively low and high values of Darcy number. Results show that local heat transfer coefficient significantly depends on the formation and variation of the recirculation caused by the porous baffles, such that, in the cases where use of porous baffles leads to recirculation zone, the local Nusselt number in the entrance region would be less than that of the fully developed region. It is also shown that heat transfer performance ratio is significantly improved for high Prandtl number fluids.

Copyright © 2016 by ASME
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Figures

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Fig. 5

Comparison of local Nusselt number in porous baffled channel with published results

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Fig. 4

Comparison of nondimensional pressure drop in porous baffled channel with published results

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Fig. 1

Schematic of the physical domain

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Fig. 6

Effect of Re number on the streamlines for Da=10−4 and a/H=0.4, w/H=0.1,  s/H=1 

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Fig. 7

Effect of Re number on local Nusselt number at thelower wall for a/H=0.4, w/H=0.1,  s/H=1,  Da=10−4, and keff/kf=1

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Fig. 3

Schematic diagram of the parallel-plate channel with four porous blocks [17]: Re=ρuH/μ=100,a/H=0.8, w/H=0.2,  s/H=1,  Da=K/H2=10−4, and  keff/kf=1

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Fig. 2

Fully developed Nusselt number in porous channel versus Darcy number, comparison of the present and Ref. [27] results (ε=0.8)

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Fig. 8

Effect of Re number on the streamlines for Da=10−5 and a/H=0.4, w/H=0.1,  s/H=1 

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Fig. 9

Effect of Re number on local Nusselt number at the lower wall for a/H=0.4, w/H=0.1,  s/H=1,  Da=10−4, and keff/kf=1

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Fig. 10

Effect of Darcy number on the streamlines for a/H=0.4, w/H=0.1,  s/H=1, and Re=300

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Fig. 11

Effect of Darcy number on local Nusselt number at thelower wall for a/H=0.4, w/H=0.1,  s/H=1,  Re=300,and keff/kf=1

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Fig. 13

Effect of baffle spacing on local Nusselt number at the lower wall for a/H=0.4, w/H=0.1,  Da=10−4, Re=300,and keff/kf=1

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Fig. 14

Effect of baffle spacing on the streamlines for a/H=0.4, w/H=0.1, Da=10−5, and Re=300

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Fig. 15

Effect of baffle spacing on local Nusselt number at the lower wall for a/H=0.4, w/H=0.1,  Da=10−5, Re=300,and  keff/kf=1

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Fig. 12

Effect of baffle spacing on the streamlines for a/H=0.4, w/H=0.1, Da=10−4,  and Re=300

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Fig. 16

Effect of baffle height on the streamlines for s/H=1, w/H=0.1,  Da=10−4, and Re=300

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Fig. 17

Effect of baffle height on the streamlines for s/H=1, w/H=0.1,  Da=10−5, and Re=300

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Fig. 18

Effect of baffle height on local Nusselt number at thelower wall for s/H=1, w/H=0.1,  Da=10−4, Re=300,and keff/kf=1

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Fig. 19

Effect of baffle height on local Nusselt number at thelower wall for s/H=1, w/H=0.1,  Da=10−5, Re=300,and  keff/kf=1

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Fig. 20

Effect of thermal conductivity ratio on local Nusselt number at the lower wall for a/H=0.4, w/H=0.1, s/H=1, Da=10−4, and Re=300

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Fig. 21

Effect of thermal conductivity ratio on local Nusselt number at the lower wall for a/H=0.4, w/H=0.1, s/H=1, Da=10−5, and Re=300

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