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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