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contributor authorMassimiliano Zingales
contributor authorGiuseppe Failla
contributor authorUmberto Rizzo
date accessioned2017-05-08T21:57:56Z
date available2017-05-08T21:57:56Z
date copyrightMarch 2014
date issued2014
identifier other%28asce%29ps%2E1949-1204%2E0000066.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/67577
description abstractFractional-order thermodynamics has proved to be an efficient tool to describe several small-scale and/or high-frequency thermodynamic processes, as shown in many engineering and physics applications. The main idea beyond fractional-order physics and engineering relies on replacing the integer-order operators of classical differential calculus with their real-order counterparts. In this study, the authors aim to extend a recently proposed physical picture of fractional-order thermodynamics to a generic 3D rigid heat conductor where the thermal energy transfer is due to two phenomena: a short-range heat flux ruled by stationary and nonstationary transport equations, and a long-range thermal energy transport representing a ballistic effects among thermal energy propagators. Thermodynamic consistency of the model is investigated introducing the state function of the temperature field, namely the entropy, and obtaining the thermodynamic restrictions on the signs of the coefficients involved in the proposed model of fractional-order thermodynamics. Finally, numerical applications are presented for both 1D and 2D rigid bodies.
publisherAmerican Society of Civil Engineers
titleFractional-Order Thermal Energy Transport for Small-Scale Engineering Devices
typeJournal Paper
journal volume4
journal issue1
journal titleJournal of Nanomechanics and Micromechanics
identifier doi10.1061/(ASCE)NM.2153-5477.0000074
treeJournal of Nanomechanics and Micromechanics:;2014:;Volume ( 004 ):;issue: 001
contenttypeFulltext


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