Question

State poiseuille's formula derive this formula on the basis of dimensional consideration

Answer 1

Using dimensional analysis deduce the relationship between ... Your starting equation looks right. ... b do I convert pressure back to its base dimensions to find them

Answer 2

The law of Poiseuille states that the flow of liquid depends on the following factors, such as the pressure gradient,the length of the narrow tubeof radius  and the viscosity of the fluid in accordance with their relationship.

Poiseuille formula - V = πPr4/ 8πl

Dimension of pressure = P = f/a = Mlt/L² = MLT²

Dimension of r'4 = L`4 and Dimension of l = L

Coefficient of viscosity = Tangent stress/Velocity gradient

= F/A/v/l

= [MLT-2][L]/[LT-1][L2]=[ML-1T-1]

Substituting the dimensions of r4,p and l in the poiseuille's formula, we will get

V = M0L3T-1