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Research Papers

Mathematical Modeling and Multi-Objective Optimization of a Mini-Channel Heat Exchanger Via Genetic Algorithm

[+] Author and Article Information
Tommaso Selleri

Scuola di Ingegneria Industriale,
Campus di Piacenza,
Politecnico di Milano,
Via Scalabrini, 76,
Piacenza, 29100, Italy
e-mail: tommaso.selleri@mail.polimi.it

Behzad Najafi

e-mail: behzad.najafi@mail.polimi.it

Fabio Rinaldi

e-mail: fabio.rinaldi@polimi.it
Dipartimento di Energia,
Politecnico di Milano,
Via Lambruschini 4,
Milano, 20156, Italy

Guido Colombo

Scuola di Ingegneria Industriale,
Campus di Piacenza,
Politecnico di Milano,
Via Scalabrini, 76,
Piacenza, 29100, Italy
e-mail: guido1.colombo@mail.polimi.it

1Correpsonding author.

Manuscript received December 11, 2012; final manuscript received February 19, 2013; published online July 18, 2013. Assoc. Editor: Zahid Ayub.

J. Thermal Sci. Eng. Appl 5(3), 031013 (Jul 18, 2013) (10 pages) Paper No: TSEA-12-1226; doi: 10.1115/1.4023893 History: Received December 11, 2012; Revised February 19, 2013

In the present paper a mathematical model for a mini-channel heat exchanger is proposed. Multiobjective optimization using genetic algorithm is performed in the next step in order to obtain a set of geometrical design parameters, leading to minimum pressure drops and maximum overall heat transfer coefficient. Multiobjective optimization procedure provides a set of optimal solutions, called Pareto front, each of which is a trade-off between the objective functions and can be freely selected by the user according to the specifications of the project. A sensitivity analysis is also carried out to study the effects of different geometrical parameters on the considered functions. The whole system has been modeled based on advanced experimental correlations in matlab environment using a modular approach.

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Figures

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Fig. 1

Scheme of the unit cell of the heat exchanger

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Fig. 2

Scheme of the overall heat exchanger

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Fig. 3

Hydraulic diameter range

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Fig. 4

Reynolds number range

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Fig. 5

Graetz number range

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Fig. 6

Maranzana number range

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Fig. 7

Convective confinement number variation

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Fig. 8

Heat transfer coefficient verification

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Fig. 9

Pressure drops correlation verification

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Fig. 10

Effects of L/Dh on pressure drops

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Fig. 11

Effects of channel width on global heat transfer coefficient

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Fig. 12

Effects of channel width on pressure drops

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Fig. 13

Effects of aspect ratio on global heat exchange coefficient

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Fig. 14

Effects of aspect ratio on pressure drops

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Fig. 15

Effects of vertical thickness on global heat exchange coefficient

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Fig. 16

Effects of vertical thickness on pressure drops

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Fig. 17

Effects of total height on pressure drops

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Fig. 18

Effects of mass velocity on pressure drops

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Fig. 19

Effects of mass velocity on global heat exchange coefficient

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Fig. 20

Optimization output

Tables

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