Aerospace Engineering GATE 2013 Questions with Answer

Ques 1 Aerodynamics


The x and y velocity components of a two dimensional flow field are, u=(cy)/(x2+y2) v=(cx)/(x2+y2) where c is a constant. The streamlines are a family of

A

hyperbolas

B

parabolas

C

ellipses

D

circles


Ques 2 Aerodynamics


Which one of the following statements is NOT TRUE for a supersonic flow?

A

Over a gradual expansion, entropy remains constant

B

Over a sharp expansion corner, entropy can increase

C

Over a gradual compression, entropy can remain constant

D

Over a sharp compression corner, entropy increases


Ques 3 Aerodynamics


Consider a compressible flow where an elemental volume of the fluid is δ9, moving with velocity Which one of the following expressions is TRUE?

A

∇·V→=(1/δg)(Dδ9/Dt)

B

∇·(∇×V¯)=(1/δg)(Dδ9/Dt)

C

∇·(DV¯/Dt)=(1/δ9)(Dδ9/Dt)

D

V→·(∇×V→)=(1/δ9)(Dδ9/Dt)


Ques 4 Aerodynamics


Consider a thin flat plate airfoil at a small angle α to an oncoming supersonic stream of air. Assuming the flow to be inviscid, Cd/C12 is

A

zero

B

independent of α

C

proportional to α

D

proportional to α2


Ques 5 Aerodynamics


The critical Mach number for a flat plate of zero thickness, at zero angle of attack, is


Ques 6 Aerodynamics


Consider one-dimensional isentropic flow at a Mach number of 0.5. If the area of cross-section of a streamtube increases by 3% somewhere along the flow, the corresponding percentage change in density is


Ques 7 Aerodynamics


The potential flow model for a storm is represented by the superposition of a sink and a vortex. The stream function can be written in the (r,0) system as ψ=-(Λ/(2π))θ+(Γ/(2π))ln r, where Λ=Γ=100 m2/s. Assume a constant air density of 1.2 kg/m3 The gauge pressure at a distance of 100 m from the storm eye is

A

-1.2/π2

B

-1.2/(2π2)

C

-1.2/(4π2)

D

default


Ques 8 Aerodynamics


Three identical eagles of wing span s are flying side by side in a straight line with no gap between their wing tips. Assume a single horse shoe vortex model (of equal strength ) for each bird. The net downwash experienced by the middle bird is

A

Γ/(πS)

B

Γ/(2πs)

C

Γ/(3πs)

D

4Γ/(3πs)


Ques 9 Aerodynamics


Streamline pattern of flow past a cylinder is shown in the figure below. The oncoming flow is steady, irrotational and incompressible. The flow is from left to right. Bernoulli's equation CANNOT be applied between the points

A

1 and 2

B

1 and 5

C

3 and 4

D

5 and 6


Ques 10 Aerodynamics


Consider a supersonic stream at a Mach number M=2. undergoing a gradual expansion. The stream is turned by an angle of 3 degrees due to the expansion. The following data is given.

A

1.88

B

2.00

C

2.11

D

2.33


Ques 11 Aerodynamics


Circulation theory of lift is assumed for a thin symmetric airfoil at an angle of attack α. Free stream velocity is U.
If the circulation at the quarter chord (c/4) of the airfoil is Γ1 the normal velocity is zero at

A

c/4

B

c/2

C

3c/4

D

all points on the chord


Ques 12 Aerodynamics


Circulation theory of lift is assumed for a thin symmetric airfoil at an angle of attack α. Free stream velocity is U.
A second identical airfoil is placed behind the first one at a distance of c/2 from the trailing edge of the first. The second airfoil has an unknown circulation Γ2 placed at its quarter chord. The normal velocity becomes zero at the same chord-wise locations of the respective airfoils as in the previous question. The values of Γ1 and Γ2 are respectively

A

(4/3)πcUα, (2/3)πcUα

B

(2/3)πcUα, (2/3)πcUα

C

(2/3)πcUα, (1/3)πcUα

D

(4/3)πcUα, (4/3)πcUα


Ques 13 Aerospace Propulsion


Consider two engines P and Q. In P, the high pressure turbine blades are cooled with a bleed of 5% from the compressor after the compression process and in Q the turbine blades are not cooled. Comparing engine P with engine Q, which one of the following is NOT TRUE?

A

Turbine inlet temperature is higher for engine P

B

Specific thrust is higher for engine P

C

Compressor work is the same for both P and Q

D

Fuel flow rate is lower for engine P


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