Geometric optimization of T-shaped constructs coupled with a heat generating basement: A numerical approach motivated by Bejan’s constructal theory
Publication Type:
Journal
Authors:
Co-Authors:
Lorenzini, G., Biserni, C., Dalpiaz, F.L., and Rocha, L.A.O.
Year Published:
2017
Abstract:
This work relies on constructal design to perform the geometric optimization of morphing T-shaped fins that remove a constant heat generation rate from a rectangular basement. The fins are bathed by a steady stream with constant ambient temperature and convective heat transfer. The body that serves as a basement for the T-shaped construct generates heat uniformly and it is perfectly insulated on the outer perimeter. It is shown numerically that the global dimensionless thermal resistance of the T-shaped construct can be minimized by geometric optimization subjected to constraints, namely, the basement area constraint, the T-shaped fins area fraction constraint and the auxiliary area fraction constraint, i.e., the ratio between the area that circumscribes the T-shaped fin and the basement area. The optimal design proved to be dependent on the degrees of freedom (L1/L0, t1/t0, H/L): first achieved results indicate that when the geometry is free to morph then the thermal performance is improved according to the constructal principle named by Bejan “optimal distribution of imperfections.”
Journal:
Journal of Engineering Thermophysic
Volume:
26
Issue:
4
Pagination:
485-497
ISSN:
Short Title:
Date Published:
11/16/2017