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Extrema principles of entropy production and energy dissipation in fluid mechanicsA survey is presented of several extrema principles of energy dissipation as applied to problems in fluid mechanics. An exact equation is derived for the dissipation function of a homogeneous, isotropic, Newtonian fluid, with terms associated with irreversible compression or expansion, wave radiation, and the square of the vorticity. By using entropy extrema principles, simple flows such as the incompressible channel flow and the cylindrical vortex are identified as minimal dissipative distributions. The principal notions of stability of parallel shear flows appear to be associated with a maximum dissipation condition. These different conditions are consistent with Prigogine's classification of thermodynamic states into categories of equilibrium, linear nonequilibrium, and nonlinear nonequilibrium thermodynamics; vortices and acoustic waves appear as examples of dissipative structures. The measurements of a typical periodic shear flow, the rectangular wall jet, show that direct measurements of the dissipative terms are possible.
Document ID
19880061776
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Horne, W. Clifton
(NASA Ames Research Center Moffett Field, CA, United States)
Karamcheti, Krishnamurty
(Florida State University Tallahassee, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AIAA PAPER 88-3830
Meeting Information
Meeting: AIAA, ASME, SIAM, and APS, National Fluid Dynamics Congress
Location: Cincinnati, OH
Country: United States
Start Date: July 25, 1988
End Date: July 28, 1988
Accession Number
88A49003
Distribution Limits
Public
Copyright
Other

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