The absolute velocity is the vector sum of blade velocity and relative velocity: .
Incorrect! Try again.
13How should diffuser vanes generally be oriented at their inlet?
Diffuser vane design considerations
Easy
A.Opposite to the impeller rotation
B.Normal to the incoming flow direction
C.Along the incoming flow direction
D.Parallel to the compressor shaft
Correct Answer: Along the incoming flow direction
Explanation:
Aligning the vane inlet with the incoming flow reduces incidence losses and flow separation.
Incorrect! Try again.
14Why should excessive divergence be avoided in a diffuser passage?
Diffuser vane design considerations
Easy
A.It can reverse impeller rotation
B.It can cause flow separation
C.It can eliminate pressure rise
D.It can increase shaft speed
Correct Answer: It can cause flow separation
Explanation:
Excessive passage divergence creates a strong adverse pressure gradient that can separate the flow.
Incorrect! Try again.
15What is a main advantage of using vanes in a centrifugal compressor diffuser?
Diffuser vane design considerations
Easy
A.Lower inlet stagnation pressure
B.More controlled pressure recovery
C.Greater impeller rotational speed
D.Complete removal of fluid friction
Correct Answer: More controlled pressure recovery
Explanation:
Diffuser vanes guide and decelerate the flow, helping recover static pressure efficiently.
Incorrect! Try again.
16What is prewhirl in a centrifugal compressor?
Concept of prewhirl
Easy
A.Reverse motion caused by the volute
B.Axial motion produced in the diffuser
C.Radial motion removed from outlet air
D.Tangential motion given to inlet air
Correct Answer: Tangential motion given to inlet air
Explanation:
Prewhirl is a tangential velocity component deliberately introduced before air enters the impeller.
Incorrect! Try again.
17Which device is commonly used to produce prewhirl?
Concept of prewhirl
Easy
A.Inlet guide vanes
B.Impeller exit vanes
C.Volute collector vanes
D.Diffuser throat vanes
Correct Answer: Inlet guide vanes
Explanation:
Inlet guide vanes turn the approaching flow and create the required tangential velocity component.
Incorrect! Try again.
18What is a common effect of prewhirl applied in the direction of impeller rotation?
Concept of prewhirl
Easy
A.It stops the impeller rotation
B.It eliminates diffuser losses
C.It reduces inlet relative velocity
D.It reverses the axial inlet flow
Correct Answer: It reduces inlet relative velocity
Explanation:
Same-direction prewhirl reduces the velocity of the inlet flow relative to the rotating blade.
Incorrect! Try again.
19What is rotating stall in a centrifugal compressor?
Rotation stall
Easy
A.A steady increase in mass flow
B.A complete stop of the compressor shaft
C.A uniform rise in diffuser pressure
D.A rotating region of separated flow
Correct Answer: A rotating region of separated flow
Explanation:
Rotating stall consists of one or more localized stalled-flow cells moving around the compressor annulus.
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20Rotating stall is most likely to occur under which operating condition?
Rotation stall
Easy
A.Normal design-point operation
B.High inlet-pressure operation
C.Low mass-flow operation
D.Constant shaft-speed operation
Correct Answer: Low mass-flow operation
Explanation:
At low mass flow, excessive incidence and adverse pressure gradients can cause local flow separation and rotating stall.
Incorrect! Try again.
21Which sequence best describes the energy conversion in a centrifugal compressor?
Principle of operation of centrifugal compressor
Medium
A.The impeller adds stagnation enthalpy, and the diffuser converts kinetic energy into static pressure
B.The diffuser adds stagnation enthalpy, and the impeller converts pressure into kinetic energy
C.The diffuser supplies shaft work, and the impeller reduces the fluid's angular momentum
D.The impeller reduces absolute velocity, and the diffuser increases stagnation temperature
Correct Answer: The impeller adds stagnation enthalpy, and the diffuser converts kinetic energy into static pressure
Explanation:
The rotating impeller supplies work to the fluid. The diffuser then decelerates the high-velocity flow, producing a rise in static pressure.
Incorrect! Try again.
22Why does static pressure normally rise as air passes through an ideal diffuser?
Principle of operation of centrifugal compressor
Medium
A.The diffuser decreases flow area and converts pressure into velocity
B.The diffuser increases angular speed while keeping density constant
C.The diffuser adds shaft work while keeping stagnation pressure constant
D.The diffuser decreases velocity and converts kinetic energy into enthalpy
Correct Answer: The diffuser decreases velocity and converts kinetic energy into enthalpy
Explanation:
An ideal diffuser reduces flow velocity. With no shaft work, the reduction in kinetic energy appears mainly as an increase in static enthalpy and pressure.
Incorrect! Try again.
23In a conventional centrifugal compressor, how does the main flow direction change through the impeller?
Principle of operation of centrifugal compressor
Medium
A.It enters approximately axially and leaves approximately radially
B.It enters radially and leaves approximately tangentially
C.It enters radially and leaves approximately axially
D.It enters tangentially and leaves approximately axially
Correct Answer: It enters approximately axially and leaves approximately radially
Explanation:
Flow enters through the impeller eye in an approximately axial direction and is turned outward toward the radial direction by the rotating blades.
Incorrect! Try again.
24Which Euler compressor equation gives the stagnation enthalpy rise when heat transfer and mechanical losses are neglected?
Work done and pressure rise
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Euler's turbomachinery equation relates work input to the change in angular momentum. Here, is the whirl component of absolute velocity.
Incorrect! Try again.
25A compressor has no inlet whirl. If and , what is the ideal specific work input?
Work done and pressure rise
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
With , .
Incorrect! Try again.
26Air enters a compressor at . The actual work input is , , compressor efficiency is , and . What is the approximate total-pressure ratio?
Work done and pressure rise
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The actual temperature rise is , so the isentropic rise is . Thus, .
Incorrect! Try again.
27In an ideal adiabatic diffuser, velocity decreases from to . What is the approximate static enthalpy rise?
Work done and pressure rise
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The static enthalpy rise is .
Incorrect! Try again.
28A radial-bladed impeller has , no inlet whirl, and slip factor . Assuming the ideal outlet whirl equals , what is the actual specific work?
Velocity diagrams
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The actual whirl is . Therefore, .
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29At impeller exit, , , and the backward blade angle is measured from the tangential direction. Neglecting slip, what is ?
Velocity diagrams
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
From the outlet triangle, .
Incorrect! Try again.
30At the impeller outlet, and . What is the absolute flow angle measured from the radial direction?
Velocity diagrams
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For an angle measured from the radial direction, . Hence, .
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31A compressor has , , , and same-direction inlet prewhirl . What is the ideal specific work?
Concept of prewhirl
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Euler work is .
Incorrect! Try again.
32At the impeller eye, and . If the blade inlet angle is from the tangential direction, what inlet whirl gives shockless entry?
Concept of prewhirl
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For aligned entry, . Thus, .
Incorrect! Try again.
33At the impeller eye, and . How does same-direction prewhirl of change the relative inlet speed compared with zero prewhirl?
Concept of prewhirl
Medium
A.It decreases from about to
B.It remains constant at about
C.It increases from about to
D.It decreases from about to
Correct Answer: It decreases from about to
Explanation:
Without prewhirl, . With prewhirl, .
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34For minimum incidence loss at the design condition, how should a diffuser vane's leading-edge angle be selected?
Diffuser vane design considerations
Medium
A.It should match the absolute flow direction leaving the impeller
B.It should remain radial for every impeller exit condition
C.It should match the relative flow direction inside the impeller
D.It should remain tangential to the diffuser outer casing
Correct Answer: It should match the absolute flow direction leaving the impeller
Explanation:
Diffuser vanes are stationary, so their leading edges should align with the incoming absolute velocity to minimize incidence and separation.
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35What is the most likely result if the area expansion through a vaned diffuser is made excessively rapid?
Diffuser vane design considerations
Medium
A.A rise in throat Mach number prevents all flow separation
Correct Answer: A strong adverse pressure gradient causes boundary-layer separation
Explanation:
Excessive diffusion creates a strong adverse pressure gradient. The boundary layer may then separate, increasing losses and reducing pressure recovery.
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36If the effective throat area of a vaned diffuser is reduced while inlet stagnation conditions remain fixed, what happens to its choking mass-flow capacity?
Diffuser vane design considerations
Medium
A.It increases because the diffusion ratio becomes larger
B.It remains unchanged because choking depends only on impeller speed
C.It doubles because the throat static pressure becomes lower
D.It decreases because the minimum flow area becomes smaller
Correct Answer: It decreases because the minimum flow area becomes smaller
Explanation:
At choking, mass flow is limited by the effective minimum area. Reducing the diffuser throat area therefore lowers the maximum mass-flow capacity.
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37Why is a short vaneless space commonly provided between the impeller exit and vaned diffuser?
Diffuser vane design considerations
Medium
A.It smooths circumferential nonuniformities before flow enters the vanes
B.It adds shaft work before flow reaches the diffuser throat
C.It eliminates slip by forcing the flow to rotate with the casing
D.It maintains constant static pressure across the entire diffuser
Correct Answer: It smooths circumferential nonuniformities before flow enters the vanes
Explanation:
A vaneless space allows impeller-wake nonuniformities to mix and provides some diffusion before the flow encounters the diffuser vane leading edges.
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38Which observation most clearly indicates rotating stall in a centrifugal compressor?
Rotation stall
Medium
A.All blade passages choke simultaneously at the design rotational speed
B.The complete compressor flow reverses uniformly at every blade passage
C.One or more separated-flow cells travel around the annulus below rotor speed
D.The discharge pressure rises steadily without any flow-field disturbance
Correct Answer: One or more separated-flow cells travel around the annulus below rotor speed
Explanation:
Rotating stall consists of localized stalled regions that propagate circumferentially, generally at a fraction of the rotor's angular speed.
Incorrect! Try again.
39How does rotating stall differ most directly from compressor surge?
Rotation stall
Medium
A.Rotating stall reverses shaft rotation, while surge increases shaft speed
B.Rotating stall is circumferentially nonuniform, while surge is a system-wide oscillation
C.Rotating stall is always axisymmetric, while surge affects one passage at a time
D.Rotating stall occurs only at high flow, while surge occurs only at design flow
Correct Answer: Rotating stall is circumferentially nonuniform, while surge is a system-wide oscillation
Explanation:
Rotating stall involves localized stalled cells around the annulus. Surge is a large-scale oscillation of mass flow and pressure involving the compression system.
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40Why is rotating stall more likely when a centrifugal compressor operates well below its design mass flow?
Rotation stall
Medium
A.Increased inlet temperature aligns the flow with every blade passage
B.Increased meridional velocity removes the adverse pressure gradient
C.Reduced impeller speed raises the diffuser throat area and causes choking
D.Reduced meridional velocity increases incidence and encourages flow separation
At low mass flow, the velocity direction no longer matches the blade or vane angle. The resulting incidence and adverse pressure gradient promote separation.
Incorrect! Try again.
41For an adiabatic centrifugal-compressor stage, station 1 is at the impeller eye and station 2 is at the impeller exit. Which statement correctly separates the roles of the impeller and an ideal stationary diffuser?
Principle of operation of centrifugal compressor
Hard
A.The impeller and diffuser each raise stagnation enthalpy by one-half of .
B.The impeller raises static enthalpy without changing stagnation enthalpy, while the diffuser supplies the Euler work.
C.The diffuser raises stagnation enthalpy through torque, while the impeller only increases the absolute velocity.
D.The impeller raises stagnation enthalpy by , while the diffuser mainly converts kinetic energy into static enthalpy.
Correct Answer: The impeller raises stagnation enthalpy by , while the diffuser mainly converts kinetic energy into static enthalpy.
Explanation:
Only the rotating impeller transfers shaft work to the fluid. An ideal stationary diffuser has no work input, so it reduces velocity and raises static enthalpy at constant stagnation enthalpy.
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42A centrifugal impeller has radial entry, , , backward-swept blades with measured from the tangential direction, and slip factor . Using , what is the specific Euler work?
Work done and pressure rise
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
. With zero inlet whirl, .
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43Air enters a compressor stage at . The actual specific work is , , , and the total-to-total isentropic efficiency is . Neglecting heat transfer, what total-pressure ratio is produced?
Work done and pressure rise
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The actual temperature rise is , so the isentropic rise is . Thus .
Incorrect! Try again.
44Across an adiabatic impeller, the Euler work is . The absolute speeds are and . Neglecting potential-energy change, what is the static enthalpy rise within the impeller?
Work done and pressure rise
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Because , the static rise is .
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45At an impeller eye, and with no inlet whirl. If the relative inlet angle is measured from the tangential direction, which pair gives the relative speed and angle required for incidence-free entry?
Velocity diagrams
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
and from the tangent.
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46At the impeller exit, the absolute speed is at from the tangential direction, while . What are the magnitude and direction angle from the backward tangential direction of the relative velocity?
Velocity diagrams
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
and . Hence the backward relative tangential component is , giving and .
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47An impeller inlet blade angle is fixed at from the tangential direction. At an off-design condition, and . What inlet whirl is required for zero incidence?
Velocity diagrams
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Zero incidence requires . Therefore in the direction of rotation.
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48In an ideal incompressible vaneless diffuser of constant width, the radius doubles between inlet and exit. Assuming conservation of angular momentum and mass, what fraction of the inlet kinetic energy per unit mass is ideally converted into static enthalpy?
Diffuser vane design considerations
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Both and vary inversely with radius, so doubling radius halves the total velocity. Exit kinetic energy is therefore one-quarter of its inlet value, allowing recovery.
Incorrect! Try again.
49A vaned diffuser receives flow with and . Ignoring blockage and boundary-layer deviation, what leading-edge metal angle measured from the tangential direction minimizes incidence?
Diffuser vane design considerations
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The absolute-flow angle from the tangent is . The diffuser leading edge should align with this direction.
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50A vaned diffuser exhibits suction-surface separation because each passage imposes excessive diffusion. Which redesign offers the most defensible trade-off while retaining approximately the same overall area ratio?
Diffuser vane design considerations
Hard
A.Increase vane solidity and reduce diffusion per passage, accepting higher friction and blockage.
C.Decrease throat area and preserve vane solidity, accepting an earlier choking boundary.
D.Decrease vane solidity and increase passage divergence, accepting lower turning and blockage.
Correct Answer: Increase vane solidity and reduce diffusion per passage, accepting higher friction and blockage.
Explanation:
Higher solidity distributes the required diffusion and turning over more guided surface, reducing separation tendency. Its penalties are increased wetted-area loss and blockage.
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51For fixed impeller speed and fixed exit whirl, positive inlet prewhirl is introduced in the direction of rotation. What simultaneous first-order effects follow from the Euler equation and inlet velocity triangle?
Concept of prewhirl
Hard
A.Specific work increases, and inlet relative speed generally decreases.
B.Specific work decreases, and inlet relative speed generally decreases.
C.Specific work remains constant, and inlet relative speed generally decreases.
D.Specific work decreases, and inlet relative speed generally increases.
Correct Answer: Specific work decreases, and inlet relative speed generally decreases.
Explanation:
Positive prewhirl makes , reducing . It also reduces the relative tangential component .
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52At an impeller eye, and . Introducing positive prewhirl of leaves unchanged. By approximately what percentage does the inlet relative speed decrease?
Concept of prewhirl
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Without prewhirl, . With prewhirl, , a decrease.
Incorrect! Try again.
53A compressor has , , , and . What Euler work is transferred to the fluid, and how does it compare with zero prewhirl?
Concept of prewhirl
Hard
A., an increase of
B., a decrease of
C., an increase of
D., a decrease of
Correct Answer: , an increase of
Explanation:
. Negative prewhirl makes the inlet Euler term negative, increasing work by relative to zero prewhirl.
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54A rotor runs at . Two equally spaced rotating-stall cells propagate in the direction of rotation at of rotor speed. What dominant stall-cell frequency should a stationary casing pressure probe detect?
Rotation stall
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Rotor frequency is . Each of two cells passes the probe at , giving .
Incorrect! Try again.
55Which observation most strongly identifies rotating stall rather than surge in a centrifugal compressor rig?
Rotation stall
Hard
A.The delivery duct exhibits periodic flow reversal synchronized across the full annulus.
B.The plenum pressure and total mass flow undergo nearly axisymmetric low-frequency oscillations.
C.The compressor operating point repeatedly traverses the entire unstable system characteristic.
D.Circumferential probes detect phase-shifted pressure disturbances moving around the annulus.
Correct Answer: Circumferential probes detect phase-shifted pressure disturbances moving around the annulus.
Explanation:
Rotating stall consists of localized stalled cells propagating circumferentially, producing phase shifts between probes. Surge is primarily an axisymmetric oscillation of the complete compression system.
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56As a fixed-speed centrifugal compressor is throttled below its design flow, which mechanism most directly promotes rotor rotating-stall inception?
Rotation stall
Hard
A.The impeller tip speed decreases locally, causing alternate passages to lose centrifugal loading.
B.The diffuser stagnation temperature decreases, causing condensation at the rotor leading edge.
C.The inlet velocity triangle departs from the blade angle, causing localized leading-edge separation.
D.The Euler work necessarily becomes negative, causing uniform pressure collapse across every passage.
Correct Answer: The inlet velocity triangle departs from the blade angle, causing localized leading-edge separation.
Explanation:
Throttling reduces meridional velocity while blade speed remains nearly fixed. The resulting incidence mismatch can separate flow in some passages, allowing a non-axisymmetric stall cell to form.
Incorrect! Try again.
57Static pressure can rise substantially inside a centrifugal impeller even when the absolute speed increases from inlet to exit. Which explanation is physically correct?
Principle of operation of centrifugal compressor
Hard
A.Coriolis acceleration supplies heat to the fluid without requiring torque from the impeller shaft.
B.Absolute acceleration alone raises static pressure according to the stationary-flow Bernoulli equation.
C.Static pressure rises only because the downstream diffuser transmits pressure upstream into the impeller.
D.Shaft work raises stagnation enthalpy, while relative diffusion and centrifugal pressure gradients raise static enthalpy.
Correct Answer: Shaft work raises stagnation enthalpy, while relative diffusion and centrifugal pressure gradients raise static enthalpy.
Explanation:
The rotating impeller adds stagnation enthalpy through torque. Its passages can simultaneously diffuse relative velocity and establish a radial centrifugal pressure gradient, producing static-pressure rise.
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58A radial-bladed impeller has zero inlet whirl, tip speed , and slip factor . Neglecting blockage, the slip model gives . What is the theoretical specific work transferred to the fluid?
Work done and pressure rise
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The exit whirl is . Euler work is therefore .
Incorrect! Try again.
59An adiabatic stationary diffuser reduces absolute velocity from to . If there are no losses or changes in potential energy, what static enthalpy rise is available?
Diffuser vane design considerations
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At constant stagnation enthalpy, .
Incorrect! Try again.
60A vaned-diffuser throat is choked while upstream total pressure, upstream total temperature, gas properties, and discharge coefficient remain fixed. If the effective throat area is reduced by , what happens to maximum mass flow?
Diffuser vane design considerations
Hard
A.It increases by , because the reduced area raises throat velocity.
B.It remains unchanged, because sonic velocity fixes mass flow independently of area.
C.It decreases by , and lowering downstream pressure cannot restore it.
D.It decreases by , and lowering downstream pressure fully restores it.
Correct Answer: It decreases by , and lowering downstream pressure cannot restore it.
Explanation:
For fixed upstream total conditions and gas properties, choked mass flow is proportional to effective throat area. Once choked, further reduction of downstream pressure does not increase it.
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