GATE ME 2016 Set 3 — Question 29
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumVelocity Diagrams (Turbines)Steam & Gas TurbinesTurbomachinery
Turbomachinery → Steam & Gas Turbines → Velocity Diagrams (Turbines)
Last updated
Question
The blade and fluid velocities for an axial turbine are as shown in the figure. 
The magnitude of absolute velocity at entry is at an angle of to the axial direction, while the magnitude of the absolute velocity at exit is . The exit velocity vector has a component in the downward direction. Given that the axial (horizontal) velocity is the same at entry and exit, the specific work (in kJ/kg) is__________
Correct answer
50 to 54
Solution
Given data:
Step 2: Calculate the whirl velocity at exit ().
Since and :
Step 3: Calculate the specific work ().
The problem states that the exit velocity vector has a component in the downward direction. In the diagram, the entry whirl velocity is upward (in the direction of blade motion), and the exit whirl velocity is downward (opposite to blade motion).
Using Euler's turbine equation:
Since is in the opposite direction to , we take it as negative:
The calculated value falls within the range of to .
- Absolute velocity at entry,
- Angle of with axial direction,
- Absolute velocity at exit,
- Blade speed,
- Axial velocity is constant,
Step 2: Calculate the whirl velocity at exit ().
Since and :
Step 3: Calculate the specific work ().
The problem states that the exit velocity vector has a component in the downward direction. In the diagram, the entry whirl velocity is upward (in the direction of blade motion), and the exit whirl velocity is downward (opposite to blade motion).
Using Euler's turbine equation:
Since is in the opposite direction to , we take it as negative:
The calculated value falls within the range of to .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Steam & Gas Turbines
2026 Set 1 Q58An inward flow reaction turbine, having an outer diameter of , runs at…2025 Set 1 Q53Consider a Pelton wheel of diameter. The magnitude of relative velocity of water at…2021 Set 1 Q58A single jet Pelton wheel operates at . The mean diameter of the wheel is…2021 Set 2 Q59A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine…2020 Set 2 Q28The values of enthalpies at the stator inlet and rotor outlet of a hydraulic turbomachine stage are…