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Research Papers: Heat Exchangers

A Bejan’s Constructal Theory Approach to the Overall Optimization of Heat Exchanging Finned Modules With Air in Forced Convection and Laminar Flow Condition

[+] Author and Article Information
Giulio Lorenzini1

Department of Agricultural Economics and Engineering, Alma Mater Studiorum-University of Bologna, viale Fanin no. 50, 40127 Bologna, Italygiulio.lorenzini@unibo.it

Simone Moretti

Department of Agricultural Economics and Engineering, Alma Mater Studiorum-University of Bologna, viale Fanin no. 50, 40127 Bologna, Italy

1

Corresponding author.

J. Heat Transfer 131(8), 081801 (Jun 03, 2009) (18 pages) doi:10.1115/1.3109996 History: Received July 24, 2008; Revised December 10, 2008; Published June 03, 2009

Optimizing ever smaller heat exchangers determines two opposite needs: augmenting performances, on the one hand; removing heat in excess to reduce failures, on the other. This numerical study, modeled thanks to Bejan’s Constructal theory, researches the overall optimization of finned modules, differently shaped and combined, cooled by air in laminar flow and forced convection condition: Losses of pressure, together with heat removed, contribute to the final assessment made through a novel idea of performance based on the so called overall performance coefficient.

Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 2

Example of A in a Y fin

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Figure 3

Heat exchanging module with Y fins

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Figure 4

Example of geometrical model simulated (duct) and its characteristic dimensions

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Figure 5

Shape A: I fins just at the bottom surface

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Shape B: I fins both at the bottom and at the top surfaces

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Shape C: Y fins just at the bottom surface

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Figure 8

Shape D: Y fins both at the bottom and at the top surfaces

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Figure 9

Example of meshing (case θ=0.15)

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Figure 10

Example of velocity (a) and temperature (b) fields (shape A; θ=0.1)

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Example of velocity (a) and temperature (b) fields (shape B; θ=0.1)

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Figure 12

Example of velocity (a) and temperature (b) fields (shape C; θ=0.1)

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Example of velocity (a) and temperature (b) fields (shape D; θ=0.1)

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Figure 14

Dimensionless conductance q∗ in function of the Reynolds number Re: case θ=0.1

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Dimensionless loss of pressure Δp∗ in function of the Reynolds number Re: case θ=0.1

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Example of velocity (a) and temperature (b) fields (shape A; θ=0.15)

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Figure 17

Example of velocity (a) and temperature (b) fields (shape B; θ=0.15)

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Figure 18

Example of velocity (a) and temperature (b) fields (shape C; θ=0.15)

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Figure 19

Example of velocity (a) and temperature (b) fields (shape D; θ=0.15)

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Figure 20

Dimensionless conductance q∗ in function of the Reynolds number Re: case θ=0.15

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Figure 21

Dimensionless loss of pressure Δp∗ in function of the Reynolds number Re: case θ=0.15

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Figure 22

Example of velocity (a) and temperature (b) fields (shape A; θ=0.2)

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Figure 23

Example of velocity (a) and temperature (b) fields (shape B; θ=0.2)

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Figure 24

Example of velocity (a) and temperature (b) fields (shape C; θ=0.2)

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Figure 25

Example of velocity (a) and temperature (b) fields (shape D; θ=0.2)

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Figure 26

Dimensionless conductance q∗ in function of the Reynolds number Re: case θ=0.2

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Figure 27

Dimensionless loss of pressure Δp∗ in function of the Reynolds number Re: case θ=0.2

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Figure 28

Example of velocity (a) and temperature (b) fields (shape A; θ=0.25)

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Figure 29

Example of velocity (a) and temperature (b) fields (shape B; θ=0.25)

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Figure 30

Example of velocity (a) and temperature (b) fields (shape C; θ=0.25)

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Figure 31

Example of velocity (a) and temperature (b) fields (shape D; θ=0.25)

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Figure 32

Dimensionless conductance q∗ in function of the Reynolds number Re: case θ=0.25

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Figure 33

Dimensionless loss of pressure Δp∗ in function of the Reynolds number Re: case θ=0.25

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Figure 34

Overall performance coefficient Pij versus relevance α, case 1 (θ=0.1)

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Overall performance coefficient Pij versus relevance α, case 2 (θ=0.15)

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Figure 36

Overall performance coefficient Pij versus relevance α, case 3 (θ=0.2)

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Figure 37

Overall performance coefficient Pij versus relevance α, case 3 (θ=0.2): detail

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Figure 38

Overall Performance Coefficient Pij versus relevance α, case 4 (θ=0.25)

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Figure 39

Overall Performance Coefficient Pij versus relevance α, case 4 (θ=0.25): detail

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