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Optimization and Computational Fluid Dynamics - Department of ...

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8 Multi-objective <strong>Optimization</strong> in Convective Heat Transfer 235<br />

P3 P4<br />

2 a<br />

P1 P2<br />

W<br />

Fig. 8.6 Geometric parametrization for the CC module using Catia<br />

Bézier curves, which give the shape <strong>of</strong> both extruded virtual pr<strong>of</strong>iles forming<br />

the flow channel. The half-height <strong>of</strong> the channel is controlled by parameter<br />

a, while its width is defined by parameter W. The corrugation angle between<br />

upper <strong>and</strong> lower plates is given by θ. By changing the parameter values,<br />

various different geometries can be easily produced.<br />

The geometry generated for a set <strong>of</strong> the parameters can be exported <strong>and</strong><br />

subsequently loaded by the s<strong>of</strong>tware ANSYS ICEM-CFD [2], which generates<br />

the grid. In this work, because <strong>of</strong> their superior accuracy for Finite Volume<br />

discretization, only structured hexahedral grids have been used, but alternative<br />

possibilities exist for more complicated geometries. The generated grid<br />

is imported into the pre-processor cfx5pre <strong>of</strong> ANSYS CFX [1] where fluid<br />

characteristics <strong>and</strong> boundary conditions are automatically defined. The case<br />

file exported by the cfx5pre module is processed by the cfx5solve that solves<br />

fluid <strong>and</strong> thermal equations. Finally the results are post-processed by the<br />

cfx5post code to obtain the non-dimensional synthetic data for performance<br />

evaluation.<br />

8.6 <strong>Optimization</strong> Methods<br />

In design, construction, <strong>and</strong> maintenance <strong>of</strong> any engineering system, technological<br />

<strong>and</strong> managerial decisions have to be taken at several stages. The<br />

objective <strong>of</strong> such a decision process is either to maximize the desired benefit<br />

or to minimize the required effort in terms <strong>of</strong> time, money, materials, energy,<br />

environmental impact, etc. Such a process can be abstracted from the engineering<br />

field <strong>and</strong> applied to whatsoever situation in which human choice is<br />

present.<br />

A decision-making environment can be linked to the concept <strong>of</strong> system.<br />

A system is an entity, a set <strong>of</strong> logical or physical connections that gives

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