The velocity distribution across a section of a circular pipe having viscous flow is given by

1
\({\rm{u}} = {{\rm{U}}_{{\rm{max}}}}\left[ {1 - {{\left( {\frac{{\rm{r}}}{{\rm{R}}}} \right)}^2}} \right]\)
2
u = Umax [R2 – r2]
3
\({\rm{u}} = {{\rm{U}}_{{\rm{max}}}}{\left( {1 - \frac{{\rm{r}}}{{\rm{R}}}} \right)^2}\)
4
\({\rm{u}} = {{\rm{U}}_{{\rm{max}}}}{\left( {1 - \frac{{\rm{r}}}{{\rm{R}}}} \right)^{1/2}}\)

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