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Entropy 2019, 21(4), 330;

Generalized Entropy Generation Expressions in Gases

Department of Chemical and Life Science Engineering, Virginia Commonwealth University, 601 West Main St., Richmond, VA 23284, USA
Received: 23 January 2019 / Revised: 20 March 2019 / Accepted: 22 March 2019 / Published: 27 March 2019
(This article belongs to the Special Issue Entropy Generation Minimization II)
PDF [232 KB, uploaded 27 March 2019]


In this study, we generalize our previous methods for obtaining entropy generation in gases without the need to carry through a specific expansion method, such as the Chapman–Enskog method. The generalization, which is based on a scaling analysis, allows for the study of entropy generation in gases for any arbitrary state of the gas and consistently across the conservation equations of mass, momentum, energy, and entropy. Thus, it is shown that it is theoretically possible to alter specific expressions and associated physical outcomes for entropy generation by changing the operating process gas state to regions significantly different than the perturbed, local equilibrium or Chapman–Enskog type state. Such flows could include, for example, hypersonic flows or flows that may be generally called hyper-equilibrium state flows. Our formal scaling analysis also provides partial insight into the nature of entropy generation from an informatics perspective, where we specifically demonstrate the association of entropy generation in gases with uncertainty generated by the approximation error associated with density function expansions. View Full-Text
Keywords: entropy generation; entropy generation in gases; entropy flux; statistical mechanics of entropy; second law of thermodynamics entropy generation; entropy generation in gases; entropy flux; statistical mechanics of entropy; second law of thermodynamics
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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Peters, M.H. Generalized Entropy Generation Expressions in Gases. Entropy 2019, 21, 330.

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