Buckingham theory
WebDimensional Analysis – Buckingham-Pi Theorem and Method of Repeating Variables Basic Dimensions A dimension is a qualitative description of the physical nature of some quantity. A basic dimension is one that is not formed from a combination of other dimensions, i.e., it is an independent quantity. WebTable of Contents 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 …
Buckingham theory
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WebBuckingham π theorem (also known as Pi theorem) is used to determine the number of dimensional groups required to describe a phenomena. According to this theorem “the number of dimensionless groups to define a problem equals the total number of … Web3.1 The steps of dimensional analysis and Buckingham’s Pi-Theorem 29 Step 1: The independent variables 29 Step 2: Dimensional considerations 30 Step 3: Dimensional variables 32 Step 4: The end game and Buckingham’s Π -theorem 32 3.2 Example: Deformation of an elastic sphere striking a wall 33 Step 1: The independent variables 33
http://www-mdp.eng.cam.ac.uk/web/library/enginfo/aerothermal_dvd_only/aero/fprops/dimension/node9.html WebSince the 1940s the dimensional analysis is taught and written in all fluid mechanics textbooks. The approach or the technique used in these books is referred to as Buckingham–$\pi$–theory. The $\pi$–theory was coined by Buckingham. However, there is another technique which is referred to in the literature as the Nusselt's method.
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