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

ISBN-13: 9789401065849 / Angielski / Miękka / 2011 / 312 str.

H. K. Kuiken

Opis

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'.

Spis treści

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. A General Theorem on the Motion of a Fluid with Friction and a Few Results Derived from It; H.A. Lorentz. Reinterpreting the Basic Theorem of Flagellar Hydrodynamics; J. Lighthill. Helical Distributions of Stokeslets; Sir James Lighthill. Computation of Periodic Green's Functions of Stokes Flow; C. Pozrikidis. Integral Formulation to Simulate the Viscous Sintering of a Two-Dimensional Lattice of Periodic Unit Cells; G.A.L. van de Vorst. Image of a Point Force in a Spherical Container and its Connection to the Lorentz Reflection Formula; C. Maul, Sangtae Kim. Axisymmetric non-Newtonian Drops Treated with a Boundary Integral Method; E.M. Toose, et al. Ciliary Propulsion, Chaotic Filtration and a `Blinking' Stokeslet; J.R. Blake, S.R. Otto. The Lorentz Reciprocal Theorem for Micropolar Fluids; H. Brenner, A. Nadim. Motion of a Solid Sphere in a General Flow Near a Plane Boundary at Zero Reynolds Number; R.G. Cox. Lorentz Theorem on the Stokes Equation; H. Hasimoto. A Second Kind Integral Equation Formulation for the Low Reynolds Number Interaction Between a Solid Particle and a Viscous Drop; H. Power. The Use of Stokeslets to Describe the Arbitrary Translation of a Disk Near a Plane Wall; A.M.J. Davis. Asymptotics Beyond All Orders for a Low Reynolds Number Flow; J.B. Keller, M.J. Ward. Stokes Flow Due to Infinite Arrays of Stokeslets in Three Dimensions; N. Liron. Thermocapillary Mobility of Bubbles and Electrophoretic Motion of Particles in a Fluid; B.U. Felderhof.