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I have a question and an answer for couette flow question

  1. Nov 10, 2015 #1
    1. The problem statement, all variables and given/known data
    Fluid flows between 2 parallel plates, flow is fully developed and laminar, the distance between the plates is h
    In the notes there is a general form of solution after integrating it 2 times. where a is h. but i saw in the book that we have to get +h/2 and -h/2 then add those equations find c1 and c2. but is there any easier way.
    P.S. i wasn't able to find the final answer by using any of those things
    2. Relevant equations
    http://imgur.com/LwOFqy8

    3. The attempt at a solution
    http://imgur.com/0j2Ypr4
     
  2. jcsd
  3. Nov 10, 2015 #2
    a step by step solution would be awesome, since this is the beginning and i want to understand the basic concept ruling these equations. i have watched videos online everywhere but can't get to the last (1-(2h/y)^2) part
     
  4. Nov 10, 2015 #3
    In one of your examples, y is measured up from the base, and the total channel height is a. In the other example, y is measured upward from the channel centerline, and the total channel height is h. The two examples are equivalent.

    Chet
     
  5. Nov 11, 2015 #4
    I tried solving it using y=o, when u=0
    and y=h/2 when u=0.
    still im not able to find the same answer..
    can someone tell me whats wrong
    attempt jpeg:
    http://postimg.org/image/u2srvitj7/ [Broken]
     
    Last edited by a moderator: May 7, 2017
  6. Nov 11, 2015 #5
    For that case, you should be using u' = 0 at y = 0 and u = 0 at y = h/2.
     
    Last edited by a moderator: May 7, 2017
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