Question
Download Solution PDFWhich of the following expressions gives the area of flow for a Kaplan turbine ? Where, D = diameter, B = width of vane, D0 = outer diameter of runner, Db = diameter of hub
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The area of flow for a Kaplan turbine is determined by the annular area between the runner's outer diameter and the hub diameter.
Given:
- Outer diameter of runner, \( D_0 \)
- Diameter of hub, \( D_b \)
Key Points:
- A Kaplan turbine is an axial-flow turbine where water flows parallel to the shaft.
- The flow area is the annular region between the runner's outer edge and the hub.
- The correct formula calculates the cross-sectional area of this annular space.
Derivation of Correct Formula:
The flow area is the difference between the runner's cross-section and the hub's cross-section:
\[ \text{Area of Flow} = \frac{\pi}{4} D_0^2 - \frac{\pi}{4} D_b^2 = \frac{\pi}{4} \left( D_0^2 - D_b^2 \right) \]
Last updated on May 28, 2025
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