﻿482 
  On 
  F 
  lutings 
  in 
  a 
  Sound-Wave. 
  

  

  single 
  system 
  5 
  and 
  are 
  rotated 
  by 
  the 
  moment 
  M 
  into 
  the 
  

   plane 
  perpendicular 
  to 
  the 
  stream-lines. 
  

  

  The 
  attractive 
  force 
  parallel 
  to 
  the 
  stream-lines, 
  in 
  con- 
  

   junction 
  with 
  the 
  moment 
  of 
  rotation, 
  causes 
  the 
  particles 
  

   which 
  are 
  within 
  the 
  sphere 
  of 
  action 
  to 
  form 
  in 
  laminae 
  

   transverse 
  to 
  the 
  stream-lines 
  ; 
  and 
  the 
  attraction 
  and 
  re- 
  

   pulsion 
  perpendicular 
  to 
  the 
  stream-lines 
  maintain 
  these 
  

   particles 
  in 
  the 
  laminae. 
  If, 
  however, 
  there 
  are 
  particles 
  in 
  the 
  

   plane 
  parallel 
  to 
  the 
  stream-lines, 
  and 
  not 
  within 
  the 
  sphere 
  

   of 
  action 
  of 
  sufficient 
  intensity, 
  they 
  will 
  be 
  repelled 
  to 
  some 
  

   greater 
  distance, 
  and 
  may 
  come 
  within 
  the 
  sphere 
  of 
  action 
  

   of 
  some 
  other 
  particles, 
  and 
  with 
  them 
  form 
  other 
  laminae. 
  

  

  VI. 
  Summary. 
  

  

  1. 
  — 
  The 
  flutings 
  are 
  not 
  confined 
  to 
  the 
  ventral 
  segment 
  

   of 
  a 
  stationary 
  sound-wave, 
  but 
  the 
  conditions 
  for 
  the 
  

   formation 
  of 
  laminae 
  are 
  found 
  wherever 
  there 
  is 
  a 
  to 
  and 
  fro 
  

   flux 
  of 
  a 
  viscous 
  fluid 
  around 
  solid 
  particles. 
  

  

  2. 
  — 
  The 
  ease 
  with 
  which 
  flutings 
  may 
  be 
  formed 
  depends 
  

   upon 
  the 
  size, 
  shape, 
  and 
  specific 
  gravity 
  of 
  the 
  fluting- 
  

   material, 
  and 
  also 
  upon 
  the 
  molecular 
  weight, 
  density, 
  and 
  

   viscosity 
  of 
  the 
  medium. 
  

  

  ?). 
  — 
  A 
  perfect 
  fluid 
  contains 
  forces 
  which 
  are 
  essential 
  but 
  

   are 
  not 
  sufficient 
  to 
  produce 
  laminae 
  in 
  the 
  form 
  in 
  which 
  

   they 
  exist. 
  

  

  4.— 
  The 
  experiments 
  here 
  noted 
  show 
  that 
  there 
  is 
  another 
  

   and 
  opposite 
  force 
  both 
  parallel 
  and 
  perpendicular 
  to 
  the 
  

   stream 
  -lines. 
  

  

  5.— 
  The 
  attractive 
  and 
  repulsive 
  forces 
  are 
  increased 
  by 
  

   the 
  presence 
  of 
  a 
  surface 
  in 
  close 
  proximity 
  to 
  the 
  solid 
  

   particles. 
  

  

  6. 
  — 
  These 
  new 
  forces 
  are 
  most 
  probably 
  due 
  to 
  the 
  

   viscosity 
  of 
  the 
  medium. 
  

  

  7. 
  — 
  The 
  new 
  forces, 
  in 
  conjunction 
  with 
  the 
  forces 
  of 
  the 
  

   perfect 
  fluid, 
  make 
  possible 
  a 
  complete 
  and 
  clear 
  explanation 
  

   of 
  laminae 
  and 
  flutings 
  produced 
  in 
  sound-waves, 
  

  

  My 
  sincere 
  thanks 
  are 
  due 
  to 
  Dr. 
  D. 
  B. 
  Brace 
  for 
  many 
  

   valuable 
  suggestions 
  and 
  for 
  the 
  interest 
  ^manifested 
  in 
  the 
  

   results... 
  . 
  

  

  Physical 
  Laboratory, 
  University 
  of 
  Nebraska, 
  

   Lincoln, 
  Nebraska, 
  Aug. 
  22, 
  1901. 
  

  

  