Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2023 Questions with Answer

Ques 27 GATE 2023

Consider a general aviation airplane with weight 10 kN and a wing planform area of 15 m2. The drag coefficient of the airplane is given as CD = CD0 + KCL2 with CD0 = 0.025 and K = 0.05. For level flight at an altitude where the density is 0.60 kg/m3 and thrust 1 kN, the maximum cruise speed is _______ m/s. (rounded off to the nearest integer)

A

87

B

30

C

36

D

101


(a) is the correct answer.

Ques 28 GATE 2023

An airplane with wing planform area of 20 m2 and weight 8 kN is flying straight and level with a speed of 100 m/s. The total drag coefficient is 0.026 and the air density is 0.7 kg/m3. The total thrust required to introduce a steady climb angle of 0.1 radians is _______ N. (round off to the nearest integer)


(1) is the correct answer.

Ques 29 GATE 2023

The maximum permissible load factor and the maximum lift force coefficient for an airplane is 7 and 2, respectively. For a wing loading of 6500 N/m2 and air density 1.23 kg/m3, the speed yielding the highest possible turn rate in the vertical plane is _______ m/s. (round off to the nearest integer)


(1) is the correct answer.

Ques 30 GATE 2023

A two-dimensional potential flow solution for flow past an airfoil has a streamline pattern as shown in the figure. Which of the following conditions is additionally required to satisfy the Kutta condition?

A

Addition of a source of strength Q > 0

B

Addition of a source of strength Q < 0

C

Addition of a circulation of strength Γ > 0 (counter-clockwise)

D

Addition of a circulation of strength Γ < 0 (clockwise)


(c) is the correct answer.

Ques 31 GATE 2023

Consider the Blasius solution for the incompressible laminar flat plate boundary layer. Among the following options, select the correct relation for the development of the momentum thickness θ with distance x from the leading edge along the length of the plate.

A

θ ∝ x2/3

B

θ ∝ x1/2

C

θ ∝ x1/7

D

θ ∝ x-2/3


(b) is the correct answer.

Ques 32 GATE 2023

In a two-dimensional potential flow, the doublet is a limit of the superposition of

A

a uniform stream and a source

B

a source and a sink of equal strength

C

a uniform stream and a sink

D

a source and a vortex


(b) is the correct answer.

Ques 33 GATE 2023

A supersonic aircraft has an air intake ramp that can be rotated about the leading edge O such that the shock from the leading edge meets the cowl lip as shown in the figure. Select all the correct statement(s) as per oblique shock theory when the flight Mach number M is increased.

A

It is always possible to find a ramp setting θRAMP such that the shock still meets the cowl lip (βSHOCK remains the same).

B

If θRAMP is held fixed, the shock angle βSHOCK will increase.

C

If M exceeds a critical value, it would NOT be possible to find a ramp setting θRAMP such that the shock still meets the cowl lip (βSHOCK remains the same).

D

Shock angle βSHOCK < sin-1(1/M)


(a) is the correct answer.

Ques 34 GATE 2023

A perfect gas stored in a large reservoir exhausts into the atmosphere through a convergent duct. The reservoir pressure is Po and temperature is To. The jet emerges from the nozzle at choked conditions with average velocity u, Mach number M, pressure p, temperature T, and density ρ. If the reservoir pressure is increased, then

A

u, M, p, T, and ρ increase

B

u, p, T, and ρ increase, but M remains the same

C

u, M, and T remain the same, but p and ρ increase

D

u, M, T, and p remain the same, but ρ increases


(d) is the correct answer.

Ques 35 GATE 2023

Consider a one-dimensional inviscid supersonic flow in a diverging duct with heat addition (Qin) as shown. Which of the following statement(s) is/are always TRUE?

A

Mach number, M2 > M1

B

Stagnation pressure, P1o > P2o

C

Static pressure, P2 > P1

D

Stagnation temperature, T1o < T2o


(a) is the correct answer.

Ques 36 GATE 2023

The operating characteristics of a pump were measured to be Cp = aΦ2, where Cp = P/(ρω3D5) is the power coefficient, Φ is the flow coefficient, a is a constant, D is a length scale, ω is the rotation rate, ρ is fluid density, and P is the power required. The flow coefficient is a dimensionless volume flow rate scaled with ω and D. Assuming that the flow rate remains the same, if the rotation rate is increased to 1.25ω, the power changes to αP. The value of α is _______. (round off to two decimal places)


(1) is the correct answer.

Ques 37 GATE 2023

In a potential flow, a uniform stream of strength U directed along the x-axis and four line sources (2-dimensional) of strengths π/2, π/4, π/5, and -π/5 are placed along the x-axis at x = 0, 1, 2, and 3, respectively. The strength of an additional line source to be placed at x = 4 such that a closed streamline encircles all five sources is _______. (round off to two decimal places)


(1) is the correct answer.

Ques 38 GATE 2023

Enstrophy is defined as the square of the magnitude of vorticity. For the three-dimensional velocity field
V⃗ = (4x - 1.5y + 2.5z)î + (1.5x - 1.5y)ĵ + (0.7xy)k̂,
the enstrophy at location (1, 1, 1) is _______. (round off to two decimal places)


(1) is the correct answer.

Ques 39 GATE 2023

"You are delaying the completion of the task. Send contributions at the earliest."

A

you are

B

your

C

you're

D

yore


(b) is the correct answer.

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