GATE ME 2026 Set 1 — Question 58
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Turbomachinery → Hydraulic Turbines & Pumps → Velocity Diagrams & Euler Equation
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Question
An inward flow reaction turbine, having an outer diameter of , runs at . The normal component of absolute velocity at the inlet is . If the guide blade angle is , then the inlet vane angle of the runner is ________ degree (rounded off to 1 decimal place).
Correct answer
57.5 to 61.5
Solution
Given:
Outer diameter,
Speed,
Normal component of absolute velocity (flow velocity),
Guide blade angle, Step 1: Calculate the peripheral velocity at the inlet ():Step 2: Calculate the whirl velocity at the inlet () from the guide blade angle:Step 3: Calculate the inlet vane angle ():
From the inlet velocity triangle, the relative velocity component in the whirl direction is .Rounding to 1 decimal place, the inlet vane angle is .
Outer diameter,
Speed,
Normal component of absolute velocity (flow velocity),
Guide blade angle, Step 1: Calculate the peripheral velocity at the inlet ():Step 2: Calculate the whirl velocity at the inlet () from the guide blade angle:Step 3: Calculate the inlet vane angle ():
From the inlet velocity triangle, the relative velocity component in the whirl direction is .Rounding to 1 decimal place, the inlet vane angle is .
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