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2014 | OriginalPaper | Buchkapitel

13. MaxEP and Stable Configurations in Fluid–Solid Interactions

verfasst von : Ashwin Vaidya

Erschienen in: Beyond the Second Law

Verlag: Springer Berlin Heidelberg

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Abstract

We review the experimental and theoretical literature on the steady terminal orientation of a body as it settles in a viscous fluid. The terminal orientation of a rigid body is a classic example of a system out of equilibrium. While the dynamical equations are effective in deriving the equilibrium states, they are far too complex and intractable as of yet to resolve questions about the nature of stability of the solutions. The maximum entropy production principle is therefore invoked, as a selection principle, to understand the stable, steady state patterns. Some on-going work and inherent complexities of fluid solid systems are also discussed.

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Vorheriges Kapitel Entropy Production-Based Closure of the Moment Equations for Radiative Transfer

Nächstes Kapitel Can the Principle of Maximum Entropy Production be Used to Predict the Steady States of a Rayleigh-Bérnard Convective System?

Viscoelastic fluids are a class of non-Newtonian fluids which display viscosity and elasticity and normal stresses which give rise to ‘memory’ effects, as in elastic solids.

See [18‐20] for an introduction to the subject of non-equilibrium thermodynamics.

The forces may originate from hydrodynamic viscosity, chemical reactions, thermal gradients etc.

Note that \( \int_{\Upomega_{\infty} } { = \int_{\Upomega } { + \int_{\beta } {} } } .\)

While the results of our calculations are frame independent, the body frame, if appropriately chosen to align with the natural symmetries of the body, can make the computations considerably simple.

The intersection of the dark line and shaded region on the paraboloid with a plane parallel to its cross-section in Fig. 13.6 gives the number of allowable states at any given Re.

The simplistic depiction of \( \mathcal{P} \) in Fig. 13.6 obviously leaves out ‘memory’ terms which become dominant at large Re [9].

The MEP does not always seem to correspond with the maximum drag state [33] and this is an issue that needs further attention.

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Titel: MaxEP and Stable Configurations in Fluid–Solid Interactions
verfasst von: Ashwin Vaidya
Verlag: Springer Berlin Heidelberg
Buch: Beyond the Second Law
Print ISBN: 978-3-642-40153-4

Electronic ISBN: 978-3-642-40154-1

Copyright-Jahr: 2014
DOI: https://doi.org/10.1007/978-3-642-40154-1_13