pi theorem


pi theorem

one of the principal methods of dimensional analysis, introduced by the American physicist Edgar Buckingham in 1914. The theorem states that if a variable A1 depends upon the independent variables A2, A3, . . . , An, then the functional relationship can be set equal to zero in the form f(A1, A2, A3, . . . , An) = 0. If these n variables can be described in terms of m dimensional units, then the pi (pi) theorem states that they can be grouped in n - m dimensionless terms that are called pi-terms-that is, phi(pi1, pi2, pi3, . . . , pin - m) = 0. Further, each pi-term will contain m + 1 variables, only one of which need be changed from term to term

Learn more about pi theorem with a free trial on Britannica.com.

Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
Cite This Source
Explore Dictionary.com
Previous Definition: pi tchaikovsky
Next Definition: pi tschaikovsky
Words Near: pi theorem
More from Thesaurus.com
Synonyms and Antonyms for pi theorem
More from Reference.com
Search for articles containing pi theorem
More from Dictionary.com Translator
Dictionary.com Word FAQs

Dictionary.com presents 366 FAQs, incorporating some of the frequently asked questions from the past with newer queries.

Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature