A Pelton turbine is designed to develop power having a wheel diameter D = 2.5 m, a water hea at the inlet of the nozzle of H = 500 m and a flow rate of Q = 3 m³/s, with a rotating spee N = 290 rpm. The nozzle efficiency nn = 0.95, the relative flow exiting from the bucket %3D such that a = 165° and the velocity coefficient of the bucket is Cyp = 0.96. Assume that th mechanical and volumetric efficiencies are respectively 7m = 0.9 and 7, = 0.96.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Question
Assignment 10.1
A Pelton turbine is designed to develop power having a wheel diameter D = 2.5 m, a water head
at the inlet of the nozzle of H = 500 m and a flow rate of Q = 3 m³/s, with a rotating speed
N = 290 rpm. The nozzle efficiency nn = 0.95, the relative flow exiting from the bucket is
such that a = 165° and the velocity coefficient of the bucket is Cyp = 0.96. Assume that the
mechanical and volumetric efficiencies are respectively nm = 0.9 and 7, = 0.96.
1) Calculate the different velocity components (U,V,W,Vµ, Wy, V,) and draw the velocity
diagrams at the inlet and outlet of the bucket.
2) Determine: i) the hydraulic efficiency nh, ii) the output power P;, iii) the output torque T; and
iv) the jet diameter dn.
3) Calculate the maximum hydraulic efficiency h.max and the corresponding power shaft and
torque
4) State briefly why a Pelton turbine is an impulse turbine.
Bucket
Top view
Jet
a
U
Nozzle
W2
Transcribed Image Text:Assignment 10.1 A Pelton turbine is designed to develop power having a wheel diameter D = 2.5 m, a water head at the inlet of the nozzle of H = 500 m and a flow rate of Q = 3 m³/s, with a rotating speed N = 290 rpm. The nozzle efficiency nn = 0.95, the relative flow exiting from the bucket is such that a = 165° and the velocity coefficient of the bucket is Cyp = 0.96. Assume that the mechanical and volumetric efficiencies are respectively nm = 0.9 and 7, = 0.96. 1) Calculate the different velocity components (U,V,W,Vµ, Wy, V,) and draw the velocity diagrams at the inlet and outlet of the bucket. 2) Determine: i) the hydraulic efficiency nh, ii) the output power P;, iii) the output torque T; and iv) the jet diameter dn. 3) Calculate the maximum hydraulic efficiency h.max and the corresponding power shaft and torque 4) State briefly why a Pelton turbine is an impulse turbine. Bucket Top view Jet a U Nozzle W2
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