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Controlling and Optimizing Entropy Production in Transient Heat Transfer in Graded Materials

1
Centro de Investigación en Ciencias (CInC), Universidad Autónoma del Estado de Morelos (UAEM), Av. Universidad 1001, Col. Chamilpa, Cuernavaca 62209, Mexico
2
CONACyT—Centro de Investigación en Ciencias (CInC), Universidad Autónoma del Estado de Morelos (UAEM), Av. Universidad 1001, Col. Chamilpa, Cuernavaca 62209, Mexico
3
Energy Engineering Department, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Müegyetem rkp. 9 D. 208, H-1111 Budapest, Hungary
*
Author to whom correspondence should be addressed.
Current Address: Cátedras CONACyT—Centro de Ingeniería y Desarrollo Industrial (CIDESI), Av. Playa Pie de la Cuesta No. 702, Santiago de Querétaro, Querétaro 76125, Mexico.
On a sabbatical leave from Centro de Investigación en Ciencias, Universidad Autónoma del Estado de Morelos (UAEM), Cuernavaca 62209, Mexico.
Entropy 2019, 21(5), 463; https://doi.org/10.3390/e21050463
Received: 4 April 2019 / Revised: 22 April 2019 / Accepted: 24 April 2019 / Published: 3 May 2019
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Abstract

This paper presents a numerical analysis of the transient heat transfer problem arising when a functionally graded material is subjected to a fixed temperature difference. Varying the gradation of the system, the thermal performance of the material is assessed both in time-dependent and steady-state conditions by means of temperature profiles and entropy production. One of the main contributions of this paper is the analysis of the system in the transient, from which it is found that the entropy production has a non-monotonic behaviour since maximum and minimum values of this physical quantity could be identified by varying the grading profile of the material. The latter allows to propose an optimization criterion for functionally graded materials which consists of the identification of spatial regions where temperature gradients are large and find thermal conductivity profiles that attenuate those gradients, thus reducing the thermal stresses present inside the material. View Full-Text
Keywords: functionally graded materials; transient heat transfer; entropy production functionally graded materials; transient heat transfer; entropy production
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Pérez-Barrera, J.; Figueroa, A.; Vázquez, F. Controlling and Optimizing Entropy Production in Transient Heat Transfer in Graded Materials. Entropy 2019, 21, 463.

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