GATE ME 2014 Set 3 — Question 56
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Turbomachinery → Steam & Gas Turbines → Velocity Diagrams (Turbines)
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Question
At the inlet of an axial impulse turbine rotor, the blade linear speed is m/s, the magnitude of absolute velocity is m/s and the angle between them is . The relative velocity and the axial component of velocity remain the same between the inlet and outlet of the blades. The blade inlet and outlet velocity triangles are shown in the figure. Assuming no losses, the specific work (in J/kg) is _______

Correct answer
3250 to 3300
Solution
Given data:
Blade speed, m/s
Absolute inlet velocity, m/s
Inlet angle,
Flow component: m/s
Inlet relative angle :
Given that the axial component remains the same, m/s.
From the geometry of the outlet triangle (assuming symmetry as per the impulse turbine diagram): .
Outlet whirl component: m/s.
Blade speed, m/s
Absolute inlet velocity, m/s
Inlet angle,
1.Calculate inlet velocity components:
Whirl component: m/sFlow component: m/s
2.Calculate inlet relative velocity ():
m/sInlet relative angle :
3.Outlet conditions:
Since there are no losses, m/s.Given that the axial component remains the same, m/s.
From the geometry of the outlet triangle (assuming symmetry as per the impulse turbine diagram): .
Outlet whirl component: m/s.
4.Specific work ():
J/kg.The value falls within the range of 3250 to 3300.Continue learning with Success Tracker
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