A jet of liquid of density ρ surrounded by air flows vertically downwards from a nozzle
of area Ao. The stagnation pressure of the jet at exit from the nozzle is po and the
surrounding air is at pressure B. The acceleration due to gravity is g.
If the jet flow is one-dimensional, incompressible and frictionless, and the air density
is regarded as negligible,
(i) Derive an equation for the jet speed at exit from the nozzle
(ii) Derive an equation for the jet speed a vertical distance z below the nozzle
assuming the surrounding air pressure is unchanged
(iii) Derive an equation for the cross-sectional area A of the jet a vertical distance z
below the nozzle
The Attempt at a Solution
(i) jet speed from exit
continuity equation Q(dot)= A1V1
Po= B+0.5*ρ*v^2+ ρgz
(iii) help is needed!
are the parts for (i) and (ii) correct guidance to put me in the right direction would be very much appreciated!