Problem $1$

The dimensionless number that is important in the study of viscous flow through pipes is called the Reynolds number, Re

$(\frac{?}{rh}\frac{o}{n})R^{\frac{2}{3}}{S}^{\frac{1}{2}}$

$q,$

where $R=$ hydraulic radius of channel

$S=$ channel slope $($tangent of angle that bottom makes with horizontal$)$

$n=$ Manning's roughness factor and n is a constant for a given surface condition for the walls and bottom of the channel.

SAE $30$ oil at $60\text{'}$F flows through a $2-$in$.-$diameter pipe with a mean velocity of $5f\frac{t}{s}.$ Determine the value of the Reynolds number