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Author: S. Panchev
Publisher: Elsevier
ISBN: 148314559X
Category : Technology & Engineering
Languages : en
Pages : 459
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Book Description
International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.
Author: S. Panchev
Publisher: Elsevier
ISBN: 148314559X
Category : Technology & Engineering
Languages : en
Pages : 459
Get Book Here
Book Description
International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.
Author: S. Panchev
Publisher:
ISBN: 9780080158266
Category : Stochastic processes
Languages : en
Pages : 444
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Book Description
Author: M. T. Landahl
Publisher: Cambridge University Press
ISBN: 9780521422130
Category : Mathematics
Languages : en
Pages : 184
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Book Description
Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science.
Author: Stoičo Pančev
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Stojčo Pančev
Publisher:
ISBN:
Category :
Languages : en
Pages : 350
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Book Description
Author: Stoicho Panchev
Publisher:
ISBN:
Category : Stochastic processes
Languages : en
Pages : 444
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Book Description
Author: С. Н Гурбатов
Publisher: Manchester University Press
ISBN: 9780719032752
Category : Nonlinear theories
Languages : ru
Pages : 334
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Book Description
Author: John L. Lumley
Publisher: Courier Corporation
ISBN: 0486462706
Category : Science
Languages : en
Pages : 210
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Book Description
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.
Author: Léon Agostini
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 174
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Book Description
The theory of turbulence reached its full growth at the end of the 19th century as a result of the work by Boussinesq and Reynolds. It then underwent a long period of stagnation which ended under the impulse given to it by the development of wind tunnels caused by the needs of aviation. Numerous researchers, attempted to put Reynolds' elementary statistical theory into a more precise form.
Author: Uriel Frisch
Publisher: Cambridge University Press
ISBN: 1139935976
Category : Science
Languages : en
Pages : 318
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Book Description
This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.
