A fireman is using high pressure stream of water from hose to combat raging
forest fire. At one end the hose has inside diameter of d1= 5cm ad is connected
to high pressure water reservoir at P1=300psi. At the other end is nozzle with
diameter d2=3cm that is exposed to atmospheric pressure P2=1atm.
To a good approximation, flowing water in this process can be modelled as
having a constant temperature and constant mass density =1g/cc. Moreover,
for an incompressible liquid, the following equation well describes isothermal
enthalpy changes.
Delta h = v.delta P
Where v is volume per mole or molecule (depending on the basis of h)
1) How much faster is the velocity of exiting water at the nozzle than that of
the entering stream at the reservoir? Express your answer as ratio.
2) If hose is well insulated, find the exit velocity of stream of water, in m/s
3) Find the exit volumetric flowrate of water, in gal/s