﻿Stability 
  of 
  Laminar 
  Motion 
  of 
  an 
  Inviscid 
  Fluid. 
  1001 
  

  

  Gas. 
  

  

  Boiling-point. 
  

  

  Solubility 
  in 
  water, 
  i 
  

  

  Hydrogen 
  

  

  -253° 
  C. 
  

   -190 
  

   -183 
  

   -164 
  

  

  - 
  65 
  

  

  - 
  33 
  5 
  

  

  - 
  10 
  

  

  19 
  parts 
  in 
  1000. 
  

  

  25 
  

  

  34 
  

  

  1019 
  

  

  802,000 
  

   56,600 
  

  

  Carbon 
  monoxide 
  

  

  Oxygen 
  

  

  Methane 
  

  

  Carbon 
  dioxide 
  

  

  Ammonia 
  

  

  Sulphur 
  dioxide 
  

  

  

  Summary. 
  

  

  In 
  the 
  foregoing 
  paragraphs 
  an 
  attempt 
  has 
  heen 
  made 
  to 
  

   show 
  the 
  shortcomings 
  of 
  an 
  nnamplified 
  columnar 
  theory 
  in 
  

   explaining 
  all 
  the 
  phenomena 
  o£ 
  " 
  Initial 
  Recombination." 
  

   The 
  arguments 
  are 
  based 
  on 
  the 
  failure 
  of 
  mathematical 
  

   deductions 
  of 
  the 
  theory, 
  whether 
  tested 
  directly 
  or 
  indirectly, 
  

   to 
  predict 
  experimental 
  results 
  ; 
  and 
  also 
  on 
  the 
  great 
  diver- 
  

   sity 
  shown 
  by 
  various 
  gases 
  with 
  respect 
  to 
  this 
  phenomenon. 
  

   Thus 
  ammonia, 
  a 
  light 
  gas, 
  should 
  theoretically 
  show 
  little 
  

   recombination, 
  but 
  it 
  is 
  found 
  to 
  show 
  " 
  initial 
  recom- 
  

   bination 
  " 
  in 
  a 
  very 
  marked 
  degree. 
  Moisture 
  was 
  found 
  to 
  

   enhance 
  recombination, 
  which 
  is 
  attributed 
  to 
  the 
  decrease 
  in 
  

   mobility 
  of 
  the 
  ions 
  due 
  to 
  the 
  presence 
  of 
  moisture. 
  The 
  

   suggested 
  reason 
  for 
  the 
  deviation 
  from 
  the 
  exact 
  laws 
  is 
  the 
  

   presence 
  of 
  a 
  small 
  percentage 
  of 
  ions 
  of 
  small 
  mobility 
  in 
  

   the 
  gases. 
  This 
  receives 
  support 
  from 
  the 
  fact 
  that 
  the 
  

   nearer 
  the 
  temperature 
  of 
  a 
  gas 
  is 
  to 
  its 
  boiling-point, 
  the 
  

   more 
  does 
  the 
  gas 
  exhibit 
  initial 
  recombination. 
  

  

  My 
  thanks 
  are 
  due 
  to 
  Professor 
  Bragg 
  and 
  Dr. 
  Campbell 
  

   for 
  invaluable 
  assistance 
  and 
  encouragement 
  during 
  the 
  time 
  

   in 
  which 
  the 
  foregoing 
  work 
  was 
  in 
  progress. 
  

  

  XC. 
  On 
  the 
  Stability 
  of 
  the 
  Laminar 
  Motion 
  of 
  an 
  Inviscid 
  

   Fluid. 
  By 
  Lord 
  Rayleigh, 
  O.M., 
  F.R.S* 
  

  

  THE 
  equations 
  of 
  motion 
  of 
  an 
  inviscid 
  fluid 
  are 
  satisfied 
  

   by 
  a 
  motion 
  such 
  that 
  U, 
  the 
  velocity 
  parallel 
  to 
  x, 
  

   is 
  an 
  arbitrary 
  function 
  of 
  y 
  only, 
  while 
  the 
  other 
  component 
  

   velocities 
  V 
  and 
  W 
  vanish. 
  The 
  motion 
  may 
  be 
  supposed 
  

   to 
  be 
  limited 
  by 
  two 
  fixed 
  plane 
  walls 
  for 
  each 
  of 
  which 
  

   y 
  has 
  a 
  constant 
  value. 
  In 
  order 
  to 
  investigate 
  the 
  stability 
  

  

  * 
  Communicated 
  by 
  the 
  Author. 
  

   Phil. 
  Maq. 
  S. 
  6. 
  Vol. 
  26. 
  No. 
  156. 
  Dec. 
  1913. 
  3 
  Y 
  ~ 
  

  

  