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Book Cover
Book
Author Shrimpton, John, Dr., author

Title Statistical treatment of turbulent polydisperse particle systems : a non-sectional PDF approach / J.S. Shrimpton, S Haeri, Stephen J. Scott
Published London : Springer, 2014
London Springer, [2014]

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Location Call no. Vol. Availability
 W'PONDS  620.10615195 Shr/Sto  AVAILABLE
Description xiii, 122 pages : illustrations ; 24 cm
Series Green energy and technology ; 130
Green energy and technology ; 130
Contents Contents note continued: 3.2.3.Furutsu--Novikov--Donsker Closure -- 3.2.4.Van Kampen Closure -- 3.2.5.Langevin Models -- 3.3.Poly-dispersed Methods -- 3.3.1.Sectional Models -- 3.3.2.Non-sectional Models -- 3.4.Summary -- References -- 4.A Poly-dispersed EE Model -- 4.1.Single-Particle Motion -- 4.1.1.Molecular Particle Motion -- 4.1.2.Macroscopic Particle Motion -- 4.2.Introduction to PDF Method Through Kinetic Theory -- 4.3.PDF Evolution Equation -- 4.3.1.Deterministic One-Point, Two-Particle Description -- 4.3.2.Choice of the Variables in the State Vector -- 4.3.3.Stochastic One-Point, Two-Particle Description -- 4.3.4.Transport Equation of a General Property -- 4.4.Fluid-Particle Field Equations -- 4.4.1.Fluid Field Equations -- 4.4.2.Particle Phase Mean Equations -- 4.5.Summary -- References -- 5.Closure Problem -- 5.1.Fluid Phase Triple Correlation -- 5.2.Particle Phase Triple Correlations -- 5.2.1.Particle Velocity Triple Correlation (u'p,iu'pju'p,k) --
Contents note continued: 5.2.2.Mixed Triple Correlation (u's,iu'p,ju'p,k) -- 5.2.3.Mixed Triple Correlation (φ'u'p,u'p,j) -- 5.2.4.Mixed Triple Correlation (u's,iu's,ju'p,k) -- 5.2.5.Mixed Triple Correlation (φ'pu's,iu'p,j) -- 5.2.6.Mixed Triple Correlation (φ'pφ'pu'p,i) -- 5.2.7.Particle Diameter Triple Correlation (φ'pφi'φ'p) -- 5.3.Non-integer Closure Problem -- 5.4.Summary -- References -- 6.PDF Reconstruction Methods -- 6.1.Introduction -- 6.2.Maximum Entropy Method -- 6.2.1.Simple Analytical Solutions Using MEM -- 6.3.Generalized Laguerre Polynomial Expansion -- 6.4.Direct Fractional Method of Moments -- 6.4.1.Fractional Derivatives and Integrals -- 6.4.2.RL Fractional Derivative -- 6.4.3.GL Fractional Derivatives -- 6.4.4.Estimating the Non-integer Moments -- 6.5.Examples -- 6.5.1.Log-Normal Distribution -- 6.5.2.Mixture of Normal Distributions -- 6.5.3.Rice--Nakagami Distribution -- 6.6.Summary -- References
Machine generated contents note: 1.Introduction -- 1.1.Multi-phase Flows -- 1.2.Multi-phase Solution Strategies -- References -- 2.PDF Method: A Stochastic Framework -- 2.1.Definition of a Stochastic Process -- 2.2.Markov Process -- 2.3.The Chapman--Kolmogorov Equation -- 2.4.Wiener Process -- 2.5.Diffusion Process -- 2.6.Jump Process -- 2.7.Stochastic Differential Equations -- 2.8.Fluid-Particle Systems -- 2.8.1.Definition of Distribution Function -- 2.8.2.Eulerian and Lagrangiari Two-Point, Two-Particle Description -- 2.8.3.One-Point Description and Consistency Relations -- 2.8.4.Mass Density Function -- References -- 3.Eulerian--Eulerian Field Equations -- 3.1.EE Model Development: RANS Methods -- 3.1.1.Overview -- 3.1.2.Instantaneous Equations -- 3.1.3.Averaged Equations -- 3.1.4.Eddy Viscosity Models -- 3.1.5.Second Moment Closure Models -- 3.1.6.Algebraic Models -- 3.2.EE Model Development: PDF Methods -- 3.2.1.Overview -- 3.2.2.DIA and LHDIA Closure --
Notes Formerly CIP. Uk
Bibliography Includes bibliographical references and index
Notes Also issued online
Subject Dynamics of a particle.
Fluid mechanics -- Statistical methods.
Granular flow.
Author Haeri, Sina, author
Scott, Stephen J., author
ISBN 9781447163435 (hbk.)
(eBook)