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Buckingham PI Theorem proof - Dimensional Analysis

  1. Jul 31, 2010 #1
    1. The problem statement, all variables and given/known data
    I am looking for a proof of Buckingham PI theorem in dimensional analysis, but can't really find one anywhere. I saw a proof involving posing the problem as a question in linear algebra, but it was quite unclear.
     
  2. jcsd
  3. Jul 31, 2010 #2
    Most books I have found gloss over the proof and fail to incorporate the relevant details.

    The closest I have found to a formal proof (in a book) is in Barenblatt's "Scaling, self similarity, and intermediate asymptotics" chapter 0. Otherwise you'll have to look at Buckingham's original paper, "On physically similar systems; illustrations of the use of dimensional equations".
     
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