The pipeline is 3000m long. The power of transmission through pipeline and nozzle is 91% the velocity coefficient of each nozzle is 0.975 and coefficient of friction 4f for pipe is 0.0045

Determine

i) power delivered by turbine

ii) The diameter of jets

iii) Diameter of pipeline

Total discharge Q=$4m^{3}/s$

Gross head Hg=250 m

Number of wheels y=2

Number of jet/ runner $n_{1}$=2

length of pipe line.l=3000m

n=0.91

Cv=0.975

4f=0.0045

i)power delivered by the turbine p

Total number of jet

n=$number \ of \ wheel \ runner \ y\times number \ of \ jet$

$2\times 2$

=4

ii) jet diameter d:

$\frac{d}{D}=\frac{1}{6}$

d=$\frac{D}{6}=\frac{0.975}{6}$=0.1625 m

iii)Number of jets required n:

Overall efficiency $h_{o}=\frac{shaft \ power \ P_{2}}{power. \ input \ p.g.QH}$

0.86=$\frac{1\times 772\times 10^{3}}{1000\times 9.81\times Q\times 380}$

Q=$3.672m^{3}/s$

Discharge.jet =q=$A\times V_{1}$

$\frac{\pi}{4}\times d^{2}\times V_{1}$

$\frac{\pi}{4}\times (0.1625)^{2}\times 85.05$

=1.7639 $m^{3}/s$

n=$\frac{Total \ discharge}{Discharge}=\frac{Q}{q}$

=$\frac{3.672}{1.7639}$

=2.08 say 3 jets