Newton$-$Raphson Method for Iterative Solution $($applied to find flow rates and pressure drops$).$

Questions:

What is the flow rate in each pipe section?

How does changing the diameter of the pipes affect the overall pressure drop?

Calculate the Reynolds number for flow in each pipe. Is the flow laminar or turbulent?

What would be the effect of adding a fourth pipe in parallel to one of the existing pipes?

Calculate the pressure drop across the first pipe manually using the Darcy$-$Weisbach equation for a

guessed flow rate. Then, compare this result with the pressure drop calculated using your iterative

solver in MATLAB. Discuss any discrepancies and their possible causes.