buckinghampitheorem

TheBuckinghamPiTheoremputsthe'methodofdimensions'firstproposedbyLordRayleighinhisbook“TheTheoryofSound”(1877)onasolidtheoreticalbasis, ...,TheBuckinghamPiTheoremisakeyprincipleindimensionalanalysisusedlargelyinthefieldsofengineeringandphysics.Itaimstoachieveadimensionally ...,Thedimensionlessproductsarefrequentlyreferredtoas“piterms,”andthetheoremiscalledtheBuckinghampitheorem.(.)(.)1.2.3.1.2....

參考資訊如下
The Buckingham Pi Theorem in Dimensional Analysis

The Buckingham Pi Theorem puts the 'method of dimensions' first proposed by Lord Rayleigh in his book “The Theory of Sound” (1877) on a solid theoretical basis, ...

Buckingham Pi Theorem

The Buckingham Pi Theorem is a key principle in dimensional analysis used largely in the fields of engineering and physics. It aims to achieve a dimensionally ...

Chapter 7

The dimensionless products are frequently referred to as “pi terms,” and the theorem is called the Buckingham pi theorem. (. ) (. ) 1. 2. 3. 1. 2. 3. , ,. , , k.

A generalization of the Π

由 AA Sonin 著作 · 2004 · 被引用 142 次 — This theorem is a generalization of Buckingham's Π-theorem and reduces to it when nF = 0. The generalized Π-theorem emerges from the following procedure.

說明

BUCKINGHAM'S PI THEOREM

Buckingham ' s Pi theorem states that: If there are n variables in a problem and these variables contain m primary dimensions (for example M, L, T) the equation ...

Buckingham π theorem

The Buckingham π theorem provides a method for computing sets of dimensionless parameters from given variables, even if the form of the equation remains unknown ...

白金漢π定理

^ When in applying the pi–theorem there arises an arbitrary function of dimensionless numbers. ... Buckingham, E. Model experiments and the forms of empirical ...

Buckingham π Theorem - an overview