io Question B$2$: A very large water pool is foreseen with a recirculating system consisting

of a pipe which provides water at a rate of $m=1\frac{m^3}{s}($per unit length$).$ The pipe is

located at a distance $a=3m$ from the pool floor. A water drain is located on the pool

floor. The drain can be modelled as a sink of strength $M.$ It drains all the water provided

by the source $m.$

a$)$ Determine a suitable function to model this flow. Verify that the floor is

correctly modelled.

b$)$ What must be the strength $M$ of the sink used to represent the drain?

c$)$ The system is monitored by measuring the pressure difference along the

floor of the pool at the location $b=1m$ and $c=2m.$ For the given

operating conditions, what will be this pressure difference?

For water, use $=1000k\frac{g}{m^3}.$ Neglect gravitational effects.

Figure B$2$: Schematic pool recirculating system.