Problem $2$:

Experiments are performed to measure the pressure drop in a pipe with water at $20C$ and crude oil at the same temperature. Data was gathered with pipes

of two diameters, $5cm$ and $10cm$ for pressure drop per unit length of pipe, and are tabulated below:

The presure drop per unit length is postulated to be a function of pipe diameter, liquid density, liquid viscosity, and flow velocity as:

$\frac{p}{L}=f(,,V,D)$

Perform a dimensional analysis to identify suitable $-$groups and create a Jupyter Notebook to reduce the data and plot the results using the dimensionless

values. Select an appropriate data model based on the plot.

Determine:

Suitable $-$groups to reduce the data to dimensionless values

Plot the results using the dimensionless values.

Propose an appropriate $($linear$,$ log$-$linear, parabolic, $...)$ data model based on the plot.