Question
Download Solution PDFA turbine generates the power of 150,000 kW while working at the speed of 300 rpm at the head of 100 m. What is the specific speed of the turbine?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSpecific speed:
- It is defined as the speed of a similar turbine working under a head of 1 m to produce a power output of 1 kW.
- The specific speed is useful to compare the performance of the various types of turbines.
- The specific speed differs for a different type of turbines and is the same for the model and actual turbine.
- Specific Speed of Turbine, \({N_s} = \;\frac{{N \times \sqrt P }}{{{H^{\frac{5}{4}}}}}\)
- Where N = speed of turbine, P = power generated, and H = head generated
Calculation:
Given:
P = kW, N = 300 rpm, H = 100 m
\({N_s} = \;\frac{{300 \times \sqrt {150000} }}{{{{100}^{\frac{5}{4}}}}} = 367.42 = 367\)
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