Interrogations of Direct Numerical Simulation of Solid-Liquid Flows

by Daniel D. Joseph

This book is 300+ pages. The electronic files are split to accommodate the art; each PDF file is between 100 and 6600 Kb. The PDF files here provide the FIFTH update. One advantage of a web page book is that the author makes the decision about when and how to do updates. I have chosen to do updates as addenda and appendices. This choice is motivated by the desire not to upset the 2002 edition, which was carefully crafted with a good index and list of references. The references for the addenda are local; the references in the addendum are given there or in the list for the 2002 edition. In this FIFTH edition, I added a new chapter (XVI, addendum E) on the fluid dynamics of floating particles; I revised appendix C with new results about the lift on a sphere in a tube flow and I added an addendum D citing new results which advance the numerical methods used for direct simulation.

Abstract

I Introduction

II Equations of Motion

III Numerical Packages for Moving Particles in Direct Numerical Simulation

Addendum A: Experiments on Particle Collisions in Viscous Liquids; Stokes Number

IV Weak and Strong Formulations of the DLMMethod

Addendum B: Weak Form of Body Force Formulation When the Lagrange Multiplier is Eliminated

Addendum C: Recent Developments in Direct Numerical Methods for Solid-Liquid Flows

V Applications of DNS

VI Modeling and DNS

VII Direct Numerical Simulation of Fluidization of 1204 Spheres

VIII Modeling Rayleigh-Taylor Instability of a sedimenting suspension of circular particles

IX Fluidization by lift: single particle studies

X Analytical models of lif

XI Slip Velocity and lift at finite Reynolds numbers

Addendum D: Lift Forces on a Cylindrical Particle in Plane Poiseuille Flow of Newtonian and Shear Thining Fluids

Addendum E: Lift Force on a Spherical in tube flow

XII Stability and turning point bifurcations of a single particle in Poiseuille flow

XIII Lift off of a single particle in plane Poiseuille flow of an Oldroyd-B fluid

XIV Fluidization by lift of 300 circular particles in plane Poiseuille flow by DNS (first half)

XIV Fluidization by lift of 300 circular particles in plane Poiseuille flow by DNS (second half)

XV Bi-power law correlations for sediment transport in pressure driven channel flows

Appendix A of XV

Appendix B of XV

XVI Fluid Dynamics of Floating Particles

XVII Epilogue

References

Symbol chart and Index