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Modelling Turbulence in Engineering and the Environment Second-Moment Routes to Closure

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ISBN-10: 0521845750

ISBN-13: 9780521845755

Edition: 2011

Authors: Kemal Hanjalić, Brian Launder

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Book details

List price: $192.95
Copyright year: 2011
Publisher: Cambridge University Press
Publication date: 10/20/2011
Binding: Hardcover
Pages: 402
Size: 7.00" wide x 10.00" long x 1.00" tall
Weight: 2.112
Language: English

Kemo Hanjalić is Professor Emeritus at Delft University of Technology in The Netherlands. He has published extensively on the measurement, modelling and simulation of turbulence including heat transfer, combustion and magneto-fluid-dynamics. He is widely recognised as a major contributor to the development of mathematical models of turbulence and served for a decade as chairman of ERCOFTAC's special-interest group on turbulence modelling.

Preface
Nomenclature
Introduction
The fact of turbulent flow
Broad options in modelling
A preview of the mean-strain generation processes in the stress-transport equation
Some consequences of the no-slip boundary condition at a wall
Sequencing of the material
The exact equations
The underpinning conservation equations
The Reynolds equations
The second-moment equations
Characterization of stress and flux dynamics: elements required for modelling
Introduction
Energy flow processes in turbulence
The spectral character of turbulence
The e-equation
Transport equation for the mean-square scalar variance, �<sup>2</sup>
Transport equation for dissipation of scalar variance, &#8364;<sub>��</sub>
Turbulence anisotropy, invariants and realizability
Approaches to closure
General remarks and basic guidelines
Pressure interactions, �<sub>ij</sub> and �<sub>�j</sub> the Poisson equation
The basic second-moment closure for high-Re</sub>t</sub> flow regions
Pressure-strain models from tensor expansion
Turbulence affected by force fields
Modelling the triple moments
Modelling the scale-determining equations
The energy dissipation rate, �
Other scale-determining equations
Multi-scale approaches
Determining �<sub>��</sub>, the dissipation rate of �<sup>2</sup>
Modelling in the immediate wall vicinity and at low Re<sub>t</sub>
The nature of viscous and wall effects: options for modelling
The structure of the near-wall sublayer
Wall integration (WIN) schemes
Illustration of the performance of two near-wall models
Elliptic relaxation concept
Simplified schemes
Rationale and organization
Reduced transport-equation models
Algebraic truncations of the second-moment equations
Linear eddy-viscosity models
The use of ASMs and linear EVMs within an unsteady RANS framework
Wall functions
Early proposals
Towards a generalization of the wall-function concept: preliminaries
Analytical wall functions (AWF): the Manchester scheme
A Simplified AWF (SAWF): the Delft scheme
Blended wall treatment (BWT)
Numerical wall functions (NWF)
References
Index