Optimization of a tube bundle immersed in a fluid

Cristian Barbarosie, Sérgio Lopes, Anca-Maria Toader, Gama Pinto · 2010

For many heat exchangers, the main component is a bundle of metallic tubes fixed elastically at their ends and immersed in an incompressible inviscid fluid like water. It is important to study the free oscillations of the tubes around equilibrium, and the influence of the fluid on the respective eigenfrequencies. We present a method, based on Bloch wave techniques, for computing the eigenfrequencies of such a bundle of tubes and for maximizing the lowest one. Our original contribution consists in differentiating an eigenfrequency of the system with respect to the periodicity vectors, and in a general algorithm for maximizing the minimum between several different functionals.

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