Example

A distribution system is to be designed for a sprinkler system on which five laterals will be operated simultaneously. Each lateral is to have $30$ nozzles with $0\mathrm{.}360\frac{L}{s}$ discharge per nozzle. The required pressure on the mainline at the inlet to each lateral is $393$KPa.

The elevation of each point on the line and distance between points are given in the following table. The mainline is made of $20\mathrm{.}32cm$ inside diameter aluminum pipe with a Hazen$-$Williams C factor of $144.$ The friction loss and elevation head from the water surface to the centerline of the pump is $+0\mathrm{.}333m.$ Laterals are to operate on points A through $E$ simultaneously. Determine the critical pressure point in the mainline and the total dynamic head requirement of the pump.

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