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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.

 

File-1 (1.3M)

Table of Contents

  • Abstract.................................................................................................................... 1
  • I Introduction............................................................................................................. 1
  • II Equations of Motion............................................................................................... 4
  • III Numerical Packages for Moving Particles in Direct Numerical Simulation............... 6
  • Addendum A Experiments on Particle Collisions in Viscous Liquids;
    Stokes number...................................................................................................... A-1
  • IV Weak and Strong Formulations of the DLM Method........................................... 13

·        Addendum B Weak Form of Body Force Formulation When the Lagrange
Multiplier is Eliminated........................................................................................... B-1

  • Addendum C Recent Developments in Direct Numerical Methods
    for Solid-Liquid Flows........................................................................................... C-1

File-2 (1210k)

  • V Applications of DNS............................................................................................ 17
  • VI Modeling and DNS ........................................................................................... 25

File-3 (2.6MB)

  • VII Direct Numerical Simulation of Fluidization of 1204 Spheres.............................. 41

File-4a (6.6MB)

  • VIII Modeling Rayleigh-Taylor Instability of a sedimenting suspension of circular particles .................................................................................................................. 65

File-4B (430k)

  • IX Fluidization by lift: single particle studies .............................................................. 85
  • X Analytical models of lift ..................................................................................... 100

File-4C (420k)

  • XI Slip Velocity and lift at finite Reynolds numbers ................................................ 118

File-4D (1.0MB)

  • Addendum D Lift Forces on a Cylindrical Particle in Plane Poiseuille
    Flow of Newtonian and Shear Thining Fluids ......................................................... D-1
  • Addendum E Lift Force on a Spherical in tube flow................................................ E-1

File-5 (320k)

  • XII Stability and turning point bifurcations of a single particle in Poiseuille flow........ 136

File-6 (300k)

  • XIII Lift off of a single particle in plane Poiseuille flow of an Oldroyd-B fluid .......... 149

File-7 (3.5MB)

  • XIV Fluidization by lift of 300 circular particles in plane Poiseuille flow by DNS
    (first half) .............................................................................................................. 163

File-8 (2.3MB)

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

File-9 (630k)

  • XV Bi-power law correlations for sediment transport in pressure driven channel flows ............................................................................................................................. 207
  • Appendix A of XV ............................................................................................... 229
  • Appendix B of XV ............................................................................................... 233

File-10 (3.6MB)

  • XVI Fluid Dynamics of Floating Particles........................................................... XVI-1

File-epilogue (25k)

  • XVII Epilogue ...................................................................................................... 234

File-ref (180k)

  • References ........................................................................................................... 238
  • Symbol chart and Index ........................................................................................ 249

 

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