Chapter 12, Problem 12.12PP

Figure 12.15 represents the network for delivering coolant to five different machine tools in an automated machining system. The grid is a rectangle

$7.5$ m by $15$ m. All pipes are drawn steel tubing with a $0.065$ -in wall thickness. Pipes 1 and 3 are 2-in diameter, pipe 2 is $116$ -in diameter, and all others are 1-in diameter. The coolant has a specific gravity of $0.92$ and a dynamic viscosity of $2.00\times$

   ${10}^{3}Pas$. Determine the flow in each pipe.