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Entropy, Volume 6, Issue 5 (December 2004), Pages 388-426

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Research

Open AccessArticle An Alternative to Entropy in the Measurement of Information
Entropy 2004, 6(5), 388-412; doi:10.3390/e6050388
Received: 18 October 2004 / Accepted: 14 December 2004 / Published: 14 December 2004
Cited by 15 | PDF Full-text (136 KB)
Abstract
Entropy has been the main tool in the analysis of the concept of information since information theory was conceived in the work of Shannon more than fifty years ago. There were some attempts to find more general measure of information, but their [...] Read more.
Entropy has been the main tool in the analysis of the concept of information since information theory was conceived in the work of Shannon more than fifty years ago. There were some attempts to find more general measure of information, but their outcomes were more of formal, theoretical interest, and neither has provided better insight into the nature of information. The strengths of entropy seemed so obvious that no much effort has been made to find an alternative to entropy which gives different values, but which is consistent with entropy in the sense that the results obtained in information theory thus far can be reproduced with the new measure. In this article the need for such an alternative measure is demonstrated based on historical review of the problems with conceptualization of information. Then, an alternative measure is presented in the context of modified definition of information applicable outside of the conduit metaphor of Shannon's approach, and formulated without reference to uncertainty. It has several features superior to those of entropy. For instance, unlike entropy it can be easily and consistently extended to the continuous probability distributions, and unlike differential entropy this extension is always positive and invariant with respect to linear transformations of coordinates. Full article
Open AccessArticle Entropy Generation Due to Laminar Incompressible Forced Convection Flow Through Parallel-Plates Microchannel
Entropy 2004, 6(5), 413-426; doi:10.3390/e6050413
Received: 24 August 2004 / Accepted: 10 December 2004 / Published: 17 December 2004
Cited by 38 | PDF Full-text (261 KB)
Abstract
The entropy generation due to steady laminar forced convection fluid flow through parallel plates microchannel is investigated numerically. The effect of Knudsen, Reynolds, Prandtl, Eckert numbers and the nondimensional temperature difference on entropy generation within the microchannel is discussed. The fraction of [...] Read more.
The entropy generation due to steady laminar forced convection fluid flow through parallel plates microchannel is investigated numerically. The effect of Knudsen, Reynolds, Prandtl, Eckert numbers and the nondimensional temperature difference on entropy generation within the microchannel is discussed. The fraction of the entropy generation due to heat transfer to the total entropy generation within the microchannel is studied in terms of Bejan number. The entropy generation within the microchannel is found to decrease as Knudsen number increases, and it is found to increase as Reynolds, Prandtl, Eckert numbers and the nondimensional temperature difference increase. The contribution of the viscous dissipation in the total entropy generation increases as Knudsen number increases over wide ranges of the flow controlling parameters. Full article

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