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## Homework Statement

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

## Homework Equations

## The Attempt at a Solution

(i) jet speed from exit

continuity equation Q(dot)= A1V1

V1=Q/A1 ?

(ii)

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!