A flow rate of 2 m3/s exists in the pipe shown in the figure. What is the expected power output

of the turbine (75% efficient) if the elevation difference of the reservoir surfaces is

(a) 20 m? (b) 60 m? (c) 100 m?

(d) Also draw the EGL and HGL for this system for (c). The rate of frictional energy loss in the pipe: hL / L = 0.000849 m/m.

Community Answer

givenDischarg (theta)=2m^(3)//sEfficiency of turbine (eta)=75%=> We know that" Efficiency "(eta)=(" power uutput ")/(" supply power ")Supply power ( Pin )=rho Qgh(a) h=20 m{:" power output "{:[(P_("out "))=eta xx" supply powes "],[P_("out ")=0.75 xx90gh=0.75 xx10^(3)xx2xx9.81 xx20],[P_("out ")=294300Wlatt]:}:}(b) h=60 m{:[P_("out ")=0.75 xx10^(3)xx9.81 xx60],[P_("out ")=882900Watt]:}(c) h=100 m{:[P_("out ")=0.75 xx10^(3)xx9.81 xx100],[P_("out ")=1471500" Watt "]:}Draw Eneray gradient line (ElnL) & Hydrolic gradient Line (HUL)HGL = datum h ... See the full answer