Aerospace Engineering
GATE AE topic:compressible-flows PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 41. Imported answers require independent review unless marked reviewed.
Question 27
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A supersonic flow in a constant area duct at Mach number
encounters a ramp of angle
(see Figure 1). The resulting oblique shock with shock angle
is then reflected from the top wall. For the reflected shock, the turn angle is
and the shock angle is
. 
Use the weak shock solution from the
-
-
plot shown in Figure 2 to choose the correct option from the following. 
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 37
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The static pressure ratio across a stationary normal shock is given by
where
is the upstream Mach number. For a stationary normal shock in air (
,
J/kg-K) with upstream flow conditions given by: speed 800 m/s, static temperature 300 K and static pressure 1 atm., the static pressure downstream of the shock is ______ atm. (round off to 2 decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 14
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A thermocouple, mounted flush in an insulated flat surface in a supersonic laminar flow of air measures the
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 15
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A shock wave is moving into still air in a shock tube. Which one of the following happens to the air?
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 27
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The relation between pressure (p) and velocity (V) for a steady, isentropic flow at two points along a streamline is, (c is a constant)
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 45
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Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3.0. A part of the flow leaks through an opening on the duct wall into the ambient, where the pressure is 30 kPa. The maximum Mach number achieved in the discharge is ______ (accurate to two decimal places). (Ratio of specific heats of air is
).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 46
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Consider a 20° half-angle wedge in a supersonic flow at Mach 3.0 at standard sea-level conditions. If the shock-wave angle on the wedge is 36°, the Mach number of the tangential component of the flow post-shock is ______ (accurate to two decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
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A De Laval nozzle is to be designed for an exit Mach number of 1.5. The reservoir conditions are given as
atm (gage),
C,
. Assuming shock free flow in the nozzle, the exit absolute pressure (in atm) is __________ (in three decimal places)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 9
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Consider a steady one dimensional flow of a perfect gas with heat transfer in a duct. The T-s diagram (shown below) shows both the static and the stagnation conditions at two locations, A and B, in the duct.
and
denote stagnation conditions for states A and B, respectively. It is known that
.

and
are the Mach numbers of the flow at locations A and B.
Which of the following statements is true about the flow.Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 34
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A trace from the schlieren photograph of the flow around a corner reveals the edges of the expansion fan as shown below. The leading and trailing edges of the expansion fan make the angles as shown. Assuming
, the angle of the expansion fan (in degrees) is _________ (in two decimal places)Prandtl Meyer function is given by

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