Question:

After graduating as a skilled engineer from Istanbul Ayd$$n University, things have been gone well for you, and you invested in two luxurious houses located side by side on the scenic coast of Seychelles. Given Seychelles' status as an island nation with underdeveloped urban water infrastructure, you immediately devised a plan to secure a fresh water supply. Upon discovering that the ocean's salinity is remarkably low and desalination is unnecessary, you designed a water transmission system to draw fresh water directly from the ocean.

Your design includes a pump with a power capacity of $410$ kW to transport water from the ocean to two reservoirs, A and B $,$ via a network of transmission lines, as shown in the schematic diagram. The system parameters are clearly indicated in the diagram.

Calculate the flowrate passing through pipe CB based on the given system specifications. $(50$ pts$)$

Determine the flowrates in pipes $1$ and $2,$ which branch off from the pump. $(50$ pts$)$

Local head losses and gravity effects are negligible.

Use the provided system parameters for calculations.

Take power pump eq$.$ as $\backslash ($ N p$=\backslash$frac$\{\backslash$gamma q H t$\}\{\backslash$eta$\}\backslash )$