Temperature profile of an assemblage of non-isothermic linear energy converters

In this paper, a proposal is presented to determine the temperature profile obtained for an assemblage of non-isothermal linear energy converters (ANLEC), published by Jiménez de Cisneros and Calvo Hernández (2007 Phys. Rev. Lett. 98 130602; 2008 Phys. Rev E. 77 041127). This is done without solving...

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Bibliographic Details
Published in:Physica scripta 2019-12, Vol.94 (12), p.125010
Main Authors: Gonzalez-Hernandez, S, Arias-Hernandez, L A
Format: Article
Language:English
Subjects:
energy converters
non-equilibrium systems
thermodynamic optimization
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Summary:In this paper, a proposal is presented to determine the temperature profile obtained for an assemblage of non-isothermal linear energy converters (ANLEC), published by Jiménez de Cisneros and Calvo Hernández (2007 Phys. Rev. Lett. 98 130602; 2008 Phys. Rev E. 77 041127). This is done without solving the Riccati's differential equation, needed by these authors to get the temperature profile. Instead of use Riccati's equation, we deduce a first order ordinary differential equation, through the introduction of the force ratio xD,I of an ANLEC's machine-element, which operates at some optimal regime. Additionally, we used the integration constant, that comes from the solution of this differential equation, to deduce the general heat fluxes of the ANLEC, and tuning the assemblage's operation as direct energy converter or inverse energy converter. The temperature profile will serve to obtain the energetic behavior of a non-isothermal energy converter, as heat engine, cooler or heat pump.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ab3517