In this work the optimization of T-shaped fins is considered. The potentiality of the Constructal theory applied to heat transfer process in obtaining optimal T-shaped profiles is demonstrated. The range of validity of unidirectional conduction model used through the optimization performed relies on the Biot number criterion, which in some cases appears to be an approximation too weak especially when higher heat transfer coefficients due to the characteristics of the flux and of external surface are involved. After a general overview about elemental profiles and how their geometry has developed in recent years, an original method for obtaining a reasonable assess of the heat transfer coefficient is presented. The aim of the authors is to give a new perspective in optimization process that must guide to optimal results taking into account the real contribution of the whole set of factors and variables involved, with special regards to the contribution of the convective heat transfer.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Price includes VAT (USA)
Tax calculation will be finalised during checkout.
Bejan, A., Constructal-Theory Network of Conducting Paths for Cooling a Heat Generating Volume, Int. J. Heat Mass Transfer, 1997, vol. 40, pp. 799–816.
Aziz, A., Optimum Dimension of Extended Surface Operating in a Convective Environment, Appl. Mech. Rev., 1992, vol. 45, no. 5, pp. 155–173.
Kraus, A.D., Developments in the Analysis of Finned Arrays, Int. J. Transp. Phenom., 1999, vol. 1, pp. 141–164.
Lorenzini, G. and Rocha, L.A.O., Constructal Design of Y-Shaped Assembly of Fins, Int. J. Heat Mass Transfer, 2006, vol. 49, nos. 23/24, pp. 4552–4557.
Bejan, A. and Almogbel, M., Constructal T-Shaped Fins, Int. J. Heat Mass Transfer, 2000, vol. 43, pp. 2101–2115.
Lorenzini, G., Biserni, C., Isoldi, L.A., Dos Santos, E.D., and Rocha, L.A.O., Constructal Design Applied to the Geometric Optimization of Y-Shaped Cavities Embedded in a Conducting Medium, ASME J. Electronic Pack., 2011, vol. 133, no. 4, pp. 041008 1–041008 8.
Lorenzini, G., Biserni, C., Isoldi, L.A., and Dos Santos, E.D., Constructal Design of Cavities Inserted into a Cylindrical Solid, ASME J. Heat Transfer, 2012, vol. 134, no. 7, pp. 071301 1–071301 6.
Lorenzini, G., Biserni, C., and Rocha, L.A.O., Constructal Design of X-Shaped Conductive Pathways for Cooling a Heat-Generating, Int. J. Heat Mass Transfer, 2013, vol. 58,iss. 1/2, pp. 513–520.
Lorenzini, G., Garcia, F.L., Dos Santos, E.D., Biserni, C., and Rocha, L.A.O., Constructal Design Applied to the Optimization of Complex Geometries: T-Y-Shaped Cavities with Two Additional Lateral Intrusions Cooled by Convection, Int. J. Heat Mass Transfer, 2012, vol. 55,iss. 5/6, pp. 1505–1512.
Lorenzini, G., Garcia, F.L., Biserni, C., and Rocha, L.A.O., Geometric Optimization of a Convective T-Shaped Cavity on the Basis of Constructal Theory, Int. J. Heat Mass Transfer, 2012, vol. 55,iss. 23/24, pp. 6951–6958.
Lorenzini, G. and Moretti, S., A CFD Application to Optimize T-Shaped Fins: Comparison to the Constructal Theory’s Results, ASME J. Electronic Pack., 2007, vol. 129, no. 3, pp. 324–327.
Li, C.H., Optimum Cylindrical Pin Fin, American Institute of Chem. Eng. J., 1983, p. 1043.
Lorenzini, G., Moretti, S., and Conti, A., Fin Shape Thermal Optimization Using Bejan’s Constructal Theory, Morgan & Claypool, 2011.
Lorenzini, G. and Biserni, C., Numerical Investigation on Mixed Convection in a Non-Newtonian Fluid inside a Vertical Duct, Int. J. Therm. Sci., 2004, vol. 43, no. 12, pp. 1153–1160.
About this article
Cite this article
Lorenzini, G., Medici, M. & Rocha, L.A.O. Convective analysis of constructal T-shaped fins. J. Engin. Thermophys. 23, 98–104 (2014). https://doi.org/10.1134/S1810232814020027
- Heat Transfer
- Computational Fluid Dynamics
- Heat Mass Transfer
- Constructal Theory
- High Heat Transfer