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Download Stochastic Tools in Turbulence (Dover Books on Engineering) eBook

by John L. Lumley

Download Stochastic Tools in Turbulence (Dover Books on Engineering) eBook
ISBN:
0486462706
Author:
John L. Lumley
Category:
Mathematics
Language:
English
Publisher:
Dover Publications; Reprint edition (November 2, 2007)
Pages:
208 pages
EPUB book:
1519 kb
FB2 book:
1233 kb
DJVU:
1681 kb
Other formats
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Rating:
4.1
Votes:
439


John L Lumley has written a number of well regarded books on the general subject of turbulence, but "Stochastic Tools in Turbulence" is severely misnamed

John L Lumley has written a number of well regarded books on the general subject of turbulence, but "Stochastic Tools in Turbulence" is severely misnamed. A better title would have been "Mathematics of Three-Dimensional Stochastic Vector Fields. If you are looking for careful definitions of probabalistic ideas in terms of measures and Lebesgue integrals, and a derivation of the Characteristic functional for the multipoint probabilities, this book might be a good choice.

Dover Books on Engineering. Assembled Product Dimensions (L x W x H). 8 x . 0 x . 5 Inches.

Описание: "If ever a field needed a definitive book, it is the study of turbulence; if ever a book on turbulence could be called definitive, it is this book. - Science Written by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics, this two-volume survey is renowned for its clarity as well as its comprehensive treatment. The first volume begins with an outline of laminar and turbulent flow.

Stochastic Tools in Turbulence book. Published November 2nd 2007 by Dover Publications (first published June 1970). Stochastic Tools in Turbulence. 0486462706 (ISBN13: 9780486462707).

Stochastic Tools in Turbulence - John L. Lumey.

The book deals with the needs of turbulence in relation to stochastic vector fields, particularly, on three-dimensional aspects, linear problems, and stochastic model building. Engineers, algebra students, and professors of statistics and advanced mathematics will find the book highly useful. Read on the Scribd mobile app. Download the free Scribd mobile app to read anytime, anywhere. Stochastic Tools in Turbulence - John L.

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Authors: John L. eBook ISBN: 9780323162258. Imprint: Academic Press. The book deals with the needs of turbulence in relation to stochastic vector fields, particularly, on three-dimensional aspects, linear problems, and stochastic model building. The text describes probability distributions and densities, including Lebesgue integration, conditional probabilities, conditional expectations, statistical independence, lack of correlation.

Stochastic Tools in Turbulence. Mathematics Engineering Nonfiction.

John Leask Lumley (4 November 1930 in Detroit, Michigan – 30 May 2015 in Ithaca, New York) was an American professor of mechanical engineering and aerospace engineering at Cornell University. He died in May 2015 of brain cancer.

Turbulence Phenomena. Academic Press, 1972.

This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. It will prove a valuable reference for applied mathematicians and professionals in the fields of aerospace, chemical, civil, and nuclear engineering.The author, Professor Emeritus of Engineering at Cornell University, starts with a survey of probability distributions and densities and proceeds to examinations of moments, characteristic functions, and the Gaussian distribution; random functions; and random processes in more dimensions. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.
  • Aurizar
Books by Lumley have generally a high stature and impact, namely if written together with Tennekes. The present book is also valuable. In the Preface and the Acknowledgements the author indicates that it is part of a broad spectrum of mathematical literature around the topic of turbulence, dominated by schools around Kolmogorov, Doob, Monin, Yaglom, Batchelor and others; most of them are mathematicians. The irony here is that the most successful contributions (i.e. those which observable/measurable) to turbulence are mathematically trivial: Prandtl's concept of eddy diffusivity (so-called Kolmogorov-Prandtl relation between turbulent kinetic energy, a certain scale, and eddy diffusivity; not too far from Einstein's ideas about Brownian motion), and Kolmogorov's arguments about the form of the energy spectrum, based solely on dimensional arguments. There is a new theory which is free of empirical parameters and essentially of a certain geometrical nature. It follows those classic approaches and remains mathematically simple but physically it is a complex series of arguments (see doi:10.1088/0031-8949/2013/T155/014001) using early stochastic concepts (Langevin, Fokker, Planck) and theory elements of complex systems (Debye, Landau, Feynman). It is best summarized unter the headline "synergetics" (H. Haken). Today we may state that the new theory of turbulence is comparable with Copernican revolution. While the mathematical efforts for the Ptolemaian picture were substantial, the Copernican picture was much simpler and eventually the winner. Therefore at the end of the day the value of all the tools in Lumley's book might be limited. However, there are questions left open also by the new theory, and these migth need filigrane, sophisticated tools like those well described in the present book. Nevertheless it will remain true what Falkovich & Sreenivasan wrote in 2006: "The diversity of problems in turbulence should not obscur the fact that the heart of the subject belongs to physics." And the adventure goes on! For scholars interested in mathematics beyond turbulence this book is clearly a good buy!
  • Siatanni
John L Lumley has written a number of well regarded books on the general subject of turbulence, but "Stochastic Tools in Turbulence" is severely misnamed. A better title would have been "Mathematics of Three-Dimensional Stochastic Vector Fields." If you are looking for careful definitions of probabalistic ideas in terms of measures and Lebesgue integrals, and a derivation of the Characteristic functional for the multipoint probabilities, this book might be a good choice. If, on the other hand, you (like me) were just trying to make sense out of estimating the Reynolds Stress Tensor from 20 Hz anemometer data - not so much.

There is no discussion of applications, much less application to turbulence or fluid flow whatsoever. There are a number of long appendices, but since the only one I read was the (very nice) one on generalized functions, I won't comment further on them. Monin and Yaglom's two volume "Statistical Fluid Mechanics" which covers much of the same ground plus much, much more is far more fluid oriented, but still a bit theoretical (and long) for my purposes, so I'm still looking for a good discussion of my questions.
  • Ishnjurus
The book is good and easy to read. A few errors but you can figure them out easily. In general, covers fundamental concepts in a way that you can follow the main idea