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Entropy 2015, 17(8), 5304-5332; doi:10.3390/e17085304

Entropy Generation through Deterministic Spiral Structures in a Corner Boundary-Layer Flow

Mechanical Engineering, University of Utah, 2067 Browning Avenue, Salt Lake City, UT 84108, USA
Academic Editors: Morin Celine, Bernard Desmet and Fethi Aloui
Received: 5 April 2015 / Revised: 25 June 2015 / Accepted: 22 July 2015 / Published: 27 July 2015
(This article belongs to the Special Issue Entropy Generation in Thermal Systems and Processes 2015)
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Abstract

It is shown that nonlinear interactions between boundary layers on adjacent corner surfaces produce deterministic stream wise spiral structures. The synchronization properties of nonlinear spectral velocity equations of Lorenz form yield clearly defined deterministic spiral structures at several downstream stations. The computational procedure includes Burg’s method to obtain power spectral densities, yielding the available kinetic energy dissipation rates within the spiral structures. The singular value decomposition method is applied to the nonlinear time series solutions yielding empirical entropies, from which empirical entropic indices are then extracted. The intermittency exponents obtained from the entropic indices allow the computation of the entropy generation through the spiral structures to the final dissipation of the fluctuating kinetic energy into background thermal energy, resulting in an increase in the entropy. The entropy generation rates through the spiral structures are compared with the entropy generation rates within an empirical turbulent boundary layer at several stream wise stations. View Full-Text
Keywords: corner boundary-layer flows; deterministic spiral structures; empirical entropies; fractal intermittency exponents; entropy generation corner boundary-layer flows; deterministic spiral structures; empirical entropies; fractal intermittency exponents; entropy generation
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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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Isaacson, L.K. Entropy Generation through Deterministic Spiral Structures in a Corner Boundary-Layer Flow. Entropy 2015, 17, 5304-5332.

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