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The Centenary of a Paper on Slow Viscous Flow by the Physicist H.A. Lorentz

  • Book
  • © 1996

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Editors:
  1. H. K. Kuiken

    1. Eindhoven University of Technology, Eindhoven, The Netherlands

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-vi
    Download chapter PDF

  2. H.A. Lorentz: Sketches of his work on slow viscous flow and some other areas in fluid mechanics and the background against which it arose

    • H. K. Kuiken
    Pages 1-18

  3. A general theorem on the motion of a fluid with friction and a few results derived from it

    • H. K. Kuiken
    Pages 19-24

  4. Reinterpreting the basic theorem of flagellar hydrodynamics

    • James Lighthill
    Pages 25-34

  5. Helical distributions of stokeslets

    • James Lighthill
    Pages 35-78

  6. Computation of periodic Green’s functions of Stokes flow

    • C. Pozrikidis
    Pages 79-96

  7. Integral formulation to simulate the viscous sintering of a two-dimensional lattice of periodic unit cells

    • G. A. L. Van De Vorst
    Pages 97-118

  8. Image of a point force in a spherical container and its connection to the Lorentz reflection formula

    • Christine Maul, Sangtae Kim
    Pages 119-130

  9. Axisymmetric non-Newtonian drops treated with a boundary integral method

    • E. M. Toose, D. Van Den Ende, B. J. Geurts, J. G. M. Kuerten, P. J. Zandbergen
    Pages 131-150

  10. Ciliary propulsion, chaotic filtration and a ‘blinking’ stokeslet

    • J. R. Blake, S. R. Otto
    Pages 151-168

  11. The Lorentz reciprocal theorem for micropolar fluids

    • Howard Brenner, Ali Nadim
    Pages 169-176

  12. Motion of a solid sphere in a general flow near a plane boundary at zero Reynolds number

    • R. G. Cox
    Pages 177-213

  13. Lorentz’s theorem on the Stokes equation

    • Hidenori Hasimoto
    Pages 215-224

  14. A second kind integral equation formulation for the low Reynolds number interaction between a solid particle and a viscous drop

    • H. Power
    Pages 225-237

  15. The use of stokeslets to describe the arbitrary translation of a disk near a plane wall

    • A. M. J. Davis
    Pages 239-252

  16. Asymptotics beyond all orders for a low Reynolds number flow

    • Joseph B. Keller, Michael J. Ward
    Pages 253-265

  17. Stokes flow due to infinite arrays of stokeslets in three dimensions

    • Nadav Liron
    Pages 267-297

  18. Thermocapillary mobility of bubbles and electrophoretic motion of particles in a fluid

    • B. U. Felderhof
    Pages 299-305
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Keywords

About this book

This book commemorates the appearance one hundred years ago of a paper on slow viscous flow, written by the physicist and Nobel laureate H.A. Lorentz. Although Lorentz is not remembered by most as a fluid dynamicist - indeed, his fame rests primarily on his contributions to the theory of electrons, electrodynamics and early developments in relativity - his fluid-mechanics paper of 1896 contains many ideas which have remained important in fluid mechanics to this very day. In that short paper he put forward his reciprocal theorem (an integral-equation formulation which is used extensively nowadays in boundary-element calculations) and his reflection theorem. Furthermore, he must be credited with the invention of the stokeslet.
The contributors to this book have all made their mark in slow viscous flow. Each of these authors highlights further developments of one of Lorentz's ideas. There are applications in sintering, micropolar fluids, bubbles, locomotion of microorganisms, non-Newtonian fluids, drag calculations, etc. Other contributions are of a more theoretical nature, such as the flow due to an array of stokeslets, the interaction between a drop and a particle, the interaction of a particle and a vortex, the reflection theorem for other geometries, a disk moving along a wall and a higher-order investigation.
Lorentz's paper of 1896 is also included in an English translation. An introductory paper puts Lorentz's work in fluid mechanics in a wider perspective. His other great venture in fluid mechanics - his theoretical modelling on the enclosure of the Zuyderzee - is also discussed. The introduction also presents a short description of Lorentz's life and times. It was Albert Einstein who said of Lorentz that he was `...the greatest and noblest man of our time'.

Editors and Affiliations

  • Eindhoven University of Technology, Eindhoven, The Netherlands

    H. K. Kuiken

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