Pi theorem

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Buckingham_π_theorem
gptkbp:appliesTo applied mathematics
engineering
physics
gptkbp:describes relationship between physical quantities
gptkbp:enables creation of dimensionless groups (π groups)
gptkbp:example gptkb:Mach_number
gptkb:Reynolds_number
gptkb:Froude_number
gptkbp:field dimensional analysis
gptkbp:formedBy gptkb:Edgar_Buckingham
1914
https://www.w3.org/2000/01/rdf-schema#label Pi theorem
gptkbp:numberOfDimensionlessParameters k = n - r
gptkbp:publishedIn gptkb:Physical_Review
gptkbp:relatedTo dimensional homogeneity
similarity analysis
gptkbp:RFC number of fundamental dimensions involved
gptkbp:state any physically meaningful equation involving n variables can be equivalently rewritten as an equation of k dimensionless parameters
gptkbp:usedFor modeling physical systems
reducing variables in equations
gptkbp:bfsParent gptkb:Buckingham_π_theorem
gptkbp:bfsLayer 7