Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

Nonlinear, Nonlocal and Fractional Turbulence : Alternative Recipes for the Modeling of Turbulence, Hardback Book

Nonlinear, Nonlocal and Fractional Turbulence : Alternative Recipes for the Modeling of Turbulence Hardback

Hardback

Description

Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality.

Fractional dynamics is the physics related to fractal (geometrical) systems and is described by fractional calculus.

Up-to-present, numerous criticisms of linear and local theories of turbulence have been published.

Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available.  This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure.

Considerations involve anomalous diffusion (Lévy flights), fractal geometry (fractal-ß, bi-fractal and multi-fractal model) and fractional dynamics.

Examples include a new ‘law of the wall’ and a generalization of Kraichnan’s energy-enstrophy spectrum that is in harmony with non-extensive and non-equilibrium thermodynamics (Tsallis thermodynamics) and experiments.

Furthermore, the presented theories of turbulence reveal critical and cooperative phenomena in analogy with phase transitions in other physical systems, e.g., binary fluids, para-ferromagnetic materials, etc.; the two phases of turbulence identifying the laminar streaks and coherent vorticity-rich structures.  This book is intended, apart from fluids specialists, for researchers in physics, as well as applied and numerical mathematics, who would like to acquire knowledge about alternative approaches involved in the analytical and numerical treatment of turbulence.

Information

£109.99

 
Free Home Delivery

on all orders

 
Pick up orders

from local bookshops

Information