Title
Generalized Entropy Generation Expressions in Gases
Abstract
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.
Year
DOI
Venue
2019
10.3390/e21040330
ENTROPY
Keywords
Field
DocType
entropy generation,entropy generation in gases,entropy flux,statistical mechanics of entropy,second law of thermodynamics
Statistical physics,Mathematical optimization,Hypersonic speed,Expression (mathematics),Second law of thermodynamics,Momentum,Conservation equations,Probability density function,Scaling,Approximation error,Mathematics
Journal
Volume
Issue
ISSN
21
4
1099-4300
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Michael H. Peters100.34