How would inclusion of the temperature change affect the value of ? as found in Part (a)?
(a) Water flows through the nozzle of a garden hose. Find an expression for ? in terms of line pressure 
ambient
pressure 
inside hose diameter 
and nozzle outlet diameter 
Assume steady flow, and isothermal, adiabatic operation. For liquid water modeled as an incompressible fluid,
for constant temperature.
(b) In fact, the flow cannot be truly isothermal: we expect 
owing to fluid friction. Hence, 
where C is the specific heat of water.
a. We know that :
With the system being adiabatic, steady flow, assuming no height change, and that no work done by the shaft we get:
Determining the area for u gives:
Substituting this in for 
and 
gives:
We know that
Substituting these both in for the second equation we obtain:
And by solving for ? we get :
b. The only addition to the m? equation from above would be the 
term, as so:
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