Turbomachinery stage performance parameters Flashcards

1
Q

What is the work coefficient/stage loading coefficient? When is it positive and when is it negative?

A

The ratio between the total enthalpy rise per stage to the square of the rotational speed.
Positive for turbines.
Negative for pumps/compressors/fans.

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2
Q

What is the range of the work coefficient for an aero-engine?

A

Between 0.8 to 2.8

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3
Q

What is the range of the work coefficient for a stationary gas turbine?

A

Between 0.9 to 2.1

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4
Q

Why does the work coefficient have to be used together with the flow coefficient?

A

Because the work coefficient cannot specify aerodynamic or BL loads on a blade row or inner/outer annulus walls.
For the same work coefficient and high or low Cx, the required flow deflection through any blade row could be high or low!

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5
Q

Because of which parameters do the flow coefficient vary?

A

It varies
- Between inlet and outlet of the rotor
- With the radius

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6
Q

What does a high or low flow coefficient indicate?

A

High:
- High flow throuch a stage relative to the blade velocity
Low:
- Low mass flow
- Increased density
- Low in first stage = even lower in last stage
- May cause stall in last stage(s)

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7
Q

What are the consequences of a too high or too low flow coefficient, compared to a flow coefficient that is equal the design conditions?

A

Equal design conditions: Angle beta is correct
Too high or too low:
- Beta will also be too high or too low
- Causes steep approach of the flow on the blad
- Can causes stall on top or bottom of blade
- Minimizes or stops the TM from doing work on/by the fluid

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8
Q

What are typical values of the flow coefficient for
- Compressor
- Jet engine turbines
- Industrial turbines

A

Compressor: 0.4-1.0
Jet turbine: 0.8-1.0
Industrial turbines: 0.4-0.9

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9
Q

What is the definition of the degree of reaction?

A

The ratio between the static enthalpy change to the stagnation enthalpy change

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10
Q

What is the definition of the degree of reaction for a simple velocity diagram where U1=U2?

A

The ratio of the mean tangential-velocity to the rotational velocity, deducted from 1.

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11
Q

What does it mean if the degree of reaction is 50%?

A

50% of the static enthalpy rise/drop occurs in the stator, and 50% in the rotor.

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12
Q

What does it mean for a turbine if the degree of reaction is 0%?

A

All of the enthalpy rise/drop occur in the stator. The energy stored in the fluid is transferred in the rotor by an impulse.

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13
Q

What does it mean for a turbine if the degree of reaction is 100%?

A

All enthalpy rise/drop occur in the rotor. The energy transfer is a reaction force cause by very high air velocity.

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14
Q

How are pure impulse blades characterized?

A

They have strong curvature

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15
Q

How are pure reaction blades characterized?

A

They are thick and have highly loaded BL with a tendency to stall.

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16
Q

How does a HPT and a LPT turbine operate considering degree of reaction?

A

HPT:
- Impulse blades
- More energy extracted
- Higher blade velocity
- Fewer stages
LPT:
- Degree of reaction 50%
- More stages
- Less energy extraction
- Lower peripheral velocities U