GATE AE year:2017 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 4 of 7

Consider a straight wing with rectangular planform of aspect ratio 10 and with a NACA 0012 airfoil. The span effectiveness factor for this wing is 0.95. Assume the flow to be incompressible and governed by thin airfoil theory. The lift coefficient of this wing, at an angle of attack of 6 deg, is _________ (in three decimal places).

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Consider an incompressible flow over a flat plate with the following approximation to the velocity profile:

where

is the boundary layer thickness and

the free-stream speed. The normalized momentum thickness

for this profile is ____________ (in three decimal places).

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An idealized velocity field is given by

. At point (-1,1,0) and at t = 1, the magnitude of the material acceleration vector of the fluid element is _______________

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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

Diagram for Aerospace Engineering question 34

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A strong normal shock wave, with a pressure ratio of 29 across it, is travelling into stationary air (

) at T = 280 K in a straight duct (see figure). The magnitude of the velocity of the air induced behind the shock wave is ____________ m/s. (round to nearest integer)

(Gas constant = 287 J/kg.K; Shock wave relations: Pressure ratio:

; Density ratio:

)

Diagram for Aerospace Engineering question 35

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In the figure below, water exits from a nozzle into atmospheric pressure of 101 kPa. If the exit velocity is

m/s and friction is neglected, the magnitude of the axial force on the flange at location 1 required to keep the nozzle attached to the pipe is ____________ N (round to nearest integer).

Diagram for Aerospace Engineering question 36

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A football, meant to be thrown at 100 km/h in sea level air (

kg/m

N-s/m

), is to be tested using a one-quarter scale model in a water tunnel (

kg/m

N-s/m

). For dynamic similarity the ratio of the model force to the prototype force is ____________ (round to nearest integer).

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An aircraft model was tested in a low speed wind-tunnel (Reynolds number =

based on wing mean chord). The variation of pitching moment coefficient (

) with angle of attack (

) for two elevator deflections (

) as recorded during this test is presented below.

Diagram for Aerospace Engineering question 38

Based on the result presented in the figure above, the value of elevator control power (

) in per radian will be ___________ (in three decimal place).

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A pilot was flying a single engine propeller aircraft and maintaining a steady level flight at a lift coefficient,

at an altitude of 500 m. Due to some emergency, at the same altitude (500 m), the pilot had to fully deploy the landing gear. If the pilot wants to maintain steady level flight at the same

and at the same altitude, which of the following control actions should the pilot undertake:

Your answerChoose one option.

move the elevator up, and decrease the throttle

move the elevator up, and increase the throttle

move the elevator down, and decrease the throttle

move the elevator down, and increase the throttle

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A conventional low speed aircraft had the following aerodynamic characteristics:

(Oswald efficiency). The aircraft was flown to maintain a steady level flight and for minimum thrust required, at a lift coefficient of

. The numerical value of the aspect ratio of the wing is ____________ (in three decimal places).

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GATE AE year:2017 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40