Question

In dimensional analysis, if i only have on pi group how would i solve the question? Or rather how would i achieve the dimensionless form if i only have one pi group

Answer 1

In dimensional analysis we know funcitonal relation is written as pi1=f(pi2,pi3,pi4,...)..Since you have only one pi group that means functional relation becomes pi=f(nothing) this implies essentially pi must be constant as it is function of nothing. So we can write (pi=k) k is some constant. Thus solution for such system becomes pi (which is a dimensionless form itself) is constant for system whatever the values of parameters involved may be.

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