Research Papers

Constructal Law Applications to Efficient Design: Electrokinetics Systems and Enclosures for Heat Transfer

[+] Author and Article Information
Sylvie Lorente

UPS, INSA, LMDC (Laboratoire Matériaux et
Durabilité des Constructions),
Université de Toulouse,
135 Avenue de Rangueil,
Toulouse Cedex 04 F-31077, France
e-mail: lorente@insa-toulouse.fr

Manuscript received March 31, 2014; final manuscript received July 10, 2014; published online March 17, 2015. Assoc. Editor: Giulio Lorenzini.

J. Heat Transfer 137(6), 061005 (Jun 01, 2015) (8 pages) Paper No: HT-14-1159; doi: 10.1115/1.4029853 History: Received March 31, 2014; Revised July 10, 2014; Online March 17, 2015

This review paper documents two classes of problem to which the constructal law of design is applied. The first part of the paper is about the transport of ionic species through a porous medium by means of electrokinetics. The ionic transfer is maximized in time and in space following the principles set by the constructal law. The second part is dedicated to the search of the geometry of vertical enclosures in order to enhance the heat transfer; more complex is the discovery of the best configuration for maximum heat transfer resistance and mechanical strength through the optimal allocation of the vertical enclosures.

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Grahic Jump Location
Fig. 1

Variation of the ionic penetration in time: (b) is an expanded view of (a) [32]

Grahic Jump Location
Fig. 2

Two-dimensional porous material with an external electrode and a second bed of electrodes [12]

Grahic Jump Location
Fig. 3

Influence of the number of electrodes on the ionic flux [12]

Grahic Jump Location
Fig. 5

Streamlines for the reference Ra = 14,200 and several curvatures (a) 2d/L = 0%, (b) 2d/L = 33%, (c) 2d/L = 50%, and (d) 2d/L = 66% [24]

Grahic Jump Location
Fig. 6

Vertical insulating wall with alternating layers of solid (brick) material and air [31]

Grahic Jump Location
Fig. 7

The overall thermal resistance as a function of the number of air gaps when the external parameters b and I˜ are fixed [31]

Grahic Jump Location
Fig. 8

The effect of the air gap thickness and the number of air gaps on the overall thermal resistance of a cavernous wall with fixed weight [31]



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