Bukingham-pi theorem
Bukingham-Ï€(pi) Theorem
This Bukingham-Ï€(pi) theorem is used to determined the relation by discribing the physical phenomenon to the number of independent dimensions groups.
The non dimension group is given by that a large number of physical variable are involved, in a dimensionally homogeneous containing 'm' fundamental dimensions. It is given by (n-m).
The equation is given by the relation amount the variables.
F(Ï€1,Ï€2,Ï€3,Ï€4...........)
For example, if there are 8 variables ins problem and this is expressed in 6 terms, then by using the buckingham-Ï€ theorem the dimensionless groups are represented as 8-6=2. This is expressed as
F(Ï€1,Ï€2).
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