Kinetic Theory of Gases in Shear Flows: Nonlinear Transport (Fundamental Theories of Physics, 131)

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Kinetic Theory of Gases in Shear Flows: Nonlinear Transport (Fundamental Theories of Physics, 131)

Written by Vicente Garzó
4.85 41,336 ratings
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About this ebook:
This monograph provides a comprehensive study about how a dilute gas described by the Boltzmann equation responds under extreme nonequilibrium conditions. This response is basically characterized by nonlinear transport equations relating fluxes and hydrodynamic gradients through generalized transport coefficients that depend on the strength of the gradients. In addition, many interesting phenomena (e.g. chemical reactions or other processes with a high activation energy) are strongly influenced by the population of particles with an energy much larger than the thermal velocity, what motivates the analysis of high-degree velocity moments and the high energy tail of the distribution function. The authors have chosen to focus on shear flows with simple geometries, both for single gases and for gas mixtures. This allows them to cover the subject in great detail. Some of the topics analyzed include: -Non-Newtonian or rheological transport properties, such as the nonlinear shear viscosity and the viscometric functions. -Asymptotic character of the Chapman-Enskog expansion. -Divergence of high-degree velocity moments. -Algebraic high energy tail of the distribution function. -Shear-rate dependence of the nonequilibrium entropy. -Long-wavelength instability of shear flows. -Shear thickening in disparate-mass mixtures. -Nonequilibrium phase transition in the tracer limit of a sheared binary mixture. -Diffusion in a strongly sheared mixture. The text can be read as a whole or can be used as a resource for selected topics from specific chapters.

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Published September 30, 2003
ISBN 1492920
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Vicente Garzó
About the Author
Vicente Garzó

Vicente Garzó is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, Vicente Garzó enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre.
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I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
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I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend.
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Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece.
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Melissa Adams November 15, 2024
Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
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A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend.
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Mark Diaz
Mark Diaz June 14, 2024
A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem.
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A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre.
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