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Compressible Flows

17 Questions
GATE→2026→Aerodynamics→Compressible Flows
Q1
MCQ[1 Mark]
In the figure shown below, the flow at the nozzle exit is ________.
Figure for Question 1
GATE→2026→Aerodynamics→Compressible Flows
Q2
MSQ[1 Mark]
A flow is steady, inviscid and one-dimensional, with no shaft work or body forces. Which of the following is/are possible under the given conditions?
GATE→2026→Aerodynamics→Compressible Flows
Q3
NAT[2 Marks]
Consider a centered Prandtl-Meyer expansion fan at a 𝜃 = 4° corner in a Mach 1.78 air flow, as shown in the figure below. The angle ψ (see figure) made by the ending wave of the fan with respect to the incoming stream is ________ degrees (rounded off to 1 decimal place). An excerpt from the table of Prandtl-Meyer function for air is provided below. M ν [deg] M ν [deg] M ν [deg] 1.72 18.40 1.82 21.30 1.92 24.15 1.74 18.98 1.84 21.88 1.94 24.71 1.76 19.56 1.86 22.45 1.96 25.27 1.78 20.15 1.88 23.02 1.98 25.83 1.80 20.73 1.90 23.59 2.00 26.38
Figure for Question 3
GATE→2026→Aerodynamics→Compressible Flows
Q4
NAT[2 Marks]
A Mach 1.5 air flow enters a round duct of length 20 cm and diameter 3 cm. If the flow exits with Mach number 1.1, the average Fanning friction factor 𝑓 of the duct is ________ × 10−3 (rounded off to 1 decimal place). An excerpt from the Fanno flow table for air is given below. M 1.1 1.2 1.3 1.4 1.5 1.6 𝟒𝒇𝑳∗ × 𝟏𝟎𝟒 99.35 336.4 648.3 997.4 1361 1724 𝑫
GATE→2025→Aerodynamics→Compressible Flows
Q5
NAT[2 Marks]
An aircraft is flying at an altitude of 4500 m above sea level, where the ambient pressure, temperature and density are 57 kPa, 259 K and 0.777 kg/m3, respectively. The speed of the aircraft (𝑉) is 230 m/s. Gas constant R= 287 J/kg/K, and specific heat ratio 𝛾 = 1.4. If the stagnation pressure is 𝑝𝑜, and static pressure is 𝑝, the value of [ 𝑝𝑜−𝑝 1 2𝜌𝑉2] is ________ (rounded off to two decimal places).
GATE→2025→Aerodynamics→Compressible Flows
Q6
NAT[2 Marks]
A supersonic stream of an ideal gas at Mach number 𝑀1 = 5 is turned by a ramp, as shown in the figure. The ramp angle is 20o. The pressure ratio is 𝑝2 𝑝1 = 7.125 and the specific heat ratio is γ = 1.4. The pressure coefficient on the ramp surface is _______ (rounded off to two decimal places).
Figure for Question 6
GATE→2025→Aerodynamics→Compressible Flows
Q7
NAT[2 Marks]
A perfect gas flows through a frictionless constant-area duct with heat addition. The inlet conditions are as follows: pressure 100 kPa, density 1 kg/m3, and velocity 100 m/s. At a particular downstream location, the gas velocity is 200 m/s. The static pressure at the downstream location is ______ kPa (answer in integer).
GATE→2025→Aerodynamics→Compressible Flows
Q8
NAT[2 Marks]
The mass flow rate in a supersonic wind tunnel is 2 kg/s when the stagnation pressure and stagnation temperature are 1 MPa and 800 K, respectively. If the stagnation pressure and stagnation temperature are changed to 3 MPa and 200 K, the mass flow rate in the tunnel changes to _______ kg/s (answer in integer).
GATE→2023→Aerodynamics→Compressible Flows
Q9
MCQ[2 Marks]
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.
Figure for Question 9
GATE→2023→Aerodynamics→Compressible Flows
Q10
MCQ[2 Marks]
A perfect gas stored in a large reservoir exhausts into the atmosphere through a convergent duct. The reservoir pressure is P0 and temperature is T0. The jet emerges from the nozzle at choked conditions with average velocity u, Mach number M, pressure p, temperature T, and density . If the reservoir pressure is increased, then
GATE→2023→Aerodynamics→Compressible Flows
Q11
MSQ[2 Marks]
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?
Figure for Question 11
GATE→2023→Aerodynamics→Compressible Flows
Q12
MSQ[2 Marks]
For an airfoil, which of the relations given about the critical Mach number M cr and drag divergence Mach number M dd is/are correct?
GATE→2022→Aerodynamics→Compressible Flows
Q13
MCQ[1 Mark]
The point of maximum entropy on a Fanno-curve in a Temperature-Entropy (T-s) diagram represents the
GATE→2022→Aerodynamics→Compressible Flows
Q14
MSQ[1 Mark]
Across an oblique shock wave in a calorifically perfect gas,
GATE→2022→Aerodynamics→Compressible Flows
Q15
MSQ[2 Marks]
A convergent nozzle fed from a constant pressure, constant temperature reservoir is discharging air to atmosphere at 1 bar with choked flow at the exit (Q). If exit area is increased while all reservoir and ambient conditions remain the same, then at steady state
Figure for Question 15
GATE→2022→Aerodynamics→Compressible Flows
Q16
NAT[2 Marks]
In a converging duct, area and velocity at section P are 1 m21\text{ m}^2 and 15 m/s15\text{ m/s}. Temperature 300 K300\text{ K}, isothermal flow. Minimum area required at section Q for M≤0.3M \le 0.3 is ______ m2m^2 (round off to two decimal places).
Figure for Question 16
GATE→2022→Aerodynamics→Compressible Flows
Q17
NAT[2 Marks]
A convergent-divergent nozzle designed for exit Mach number 2.3 discharges air to atmosphere (1 bar1\text{ bar}). Reservoir pressure 25 bar25\text{ bar}. Minimum percentage change in reservoir pressure required to eliminate expansion waves at exit is ______ %.
Figure for Question 17

Potential Flow Theory

11 Questions
GATE→2026→Aerodynamics→Potential Flow Theory
Q88
MCQ[1 Mark]
In fluid dynamics, d’Alembert’s paradox refers to which one of the following?
GATE→2026→Aerodynamics→Potential Flow Theory
Q89
MCQ[1 Mark]
The velocity potential function (𝜑) given below represents which one of the following? 𝜑 = 5𝑥 − 12𝑦
GATE→2026→Aerodynamics→Potential Flow Theory
Q90
MSQ[2 Marks]
Consider the flow over an oval modeled using the elementary potential flows as shown below. 𝑈 represents uniform flow velocity and 𝛤 represents circulation around an irrotational line vortex. Which of the following statements is/are TRUE for this model?
Figure for Question 90
GATE→2025→Aerodynamics→Potential Flow Theory
Q91
MCQ[1 Mark]
For a two-dimensional incompressible flow over a flat plate, the laminar boundary layer thickness at a distance 𝑥 from the leading edge is 𝛿. If 𝑅𝑒𝑥 is the Reynolds number defined based on length scale x, ( 𝛿 𝑥) is proportional to ______.
GATE→2025→Aerodynamics→Potential Flow Theory
Q92
MCQ[1 Mark]
Consider a pair of point vortices with clockwise circulation Γ each. The distance between their centers is 𝑎, as shown in the figure. Assume two-dimensional, incompressible, inviscid flow. Which one of the following options is correct?
Figure for Question 92
GATE→2025→Aerodynamics→Potential Flow Theory
Q93
NAT[1 Mark]
The lift per unit span for a spinning circular cylinder in a potential flow is 6 N/m. The free-stream velocity is 30 m/s, and the density of air is 1.225 kg/m3. The circulation around the cylinder is ____ m2/s (rounded off to two decimal places).
GATE→2023→Aerodynamics→Potential Flow Theory
Q94
MCQ[1 Mark]
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?
Figure for Question 94
GATE→2023→Aerodynamics→Potential Flow Theory
Q95
MCQ[1 Mark]
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.
GATE→2023→Aerodynamics→Potential Flow Theory
Q96
MCQ[1 Mark]
In a two-dimensional potential flow, the doublet is a limit of the superposition of
GATE→2023→Aerodynamics→Potential Flow Theory
Q97
NAT[2 Marks]
In a potential flow, a uniform stream of strength U directed along the x-axis and  − − four line sources (2-dimensional) of strengths , , , are placed along 2 3 4 5 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).
GATE→2022→Aerodynamics→Potential Flow Theory
Q98
MCQ[1 Mark]
Consider a two-dimensional potential flow over a cylinder. If the freestream speed is U∞U_{\infty}, the maximum speed on the cylinder surface is

Basic Fluid Mechanics

10 Questions
GATE→2026→Aerodynamics→Basic Fluid Mechanics
Q29
MCQ[2 Marks]
An experimental study is planned to map out the low-Reynolds number incompressible steady two-dimensional aerodynamic characteristics of a promising novel airfoil. The operational parameters of the problem are the speed, density and viscosity of the freestream, the chord of the airfoil and its angle of attack. If the objective is to achieve this with the minimum number of test runs 𝑁𝑚𝑖𝑛 while taking 10 equally-spaced test values of each independent parameter of the problem in a suitable range, then 𝑁𝑚𝑖𝑛 is ________.
GATE→2025→Aerodynamics→Basic Fluid Mechanics
Q30
MCQ[1 Mark]
In a fluid flow, Mach number is an estimate of _____.
GATE→2025→Aerodynamics→Basic Fluid Mechanics
Q31
NAT[2 Marks]
In a low-speed airplane, a venturimeter with 1.3:1 area ratio is used for airspeed measurement. The airplane’s maximum speed at sea level is 90 m/s. If the density of air at sea level is 1.225 kg/m3, the maximum pressure difference between the inlet and the throat of the venturimeter is ________ kPa (rounded off to two decimal places).
GATE→2023→Aerodynamics→Basic Fluid Mechanics
Q32
NAT[1 Mark]
The ratio of the speed of sound in H2 (molecular weight 2 kg/kmol) to that in N2 (molecular weight 28 kg/kmol) at temperature 300 K and pressure 2 bar is ____. (round off to two decimal places)
GATE→2023→Aerodynamics→Basic Fluid Mechanics
Q33
NAT[2 Marks]
Enstrophy is defined as the square of the magnitude of vorticity. For the three-dimensional velocity field V = (4 x − 1.5 y + 2.5 z )iˆ + (1.5 x − 1.5 y ) ˆj + ( 0.7 xy ) kˆ , the enstrophy at location (1, 1, 1) is ________ . (round off to two decimal places) Aerospace Engineering (AE)
GATE→2022→Aerodynamics→Basic Fluid Mechanics
Q34
MCQ[1 Mark]
Consider steady, two-dimensional, incompressible flow over a non-porous flat plate. For control volume PQRS, speed at PQ is u∞u_{\infty} and at RS is u(y)=A0(y/h)nu(y) = A_0(y/h)^n. The value of A0A_0 for which the flow through PS will vanish is:
Figure for Question 34
GATE→2022→Aerodynamics→Basic Fluid Mechanics
Q35
MCQ[1 Mark]
Consider the velocity distribution u(y)u(y) in adjacent fluid layers L1 and L2. For the given profile, the viscous force exerted by L1 on L2 is
Figure for Question 35
GATE→2022→Aerodynamics→Basic Fluid Mechanics
Q36
MCQ[2 Marks]
A cylindrical object of diameter 900 mm is designed to move axially in air at 60 m/s60\text{ m/s}. Its drag is estimated on a geometrically half-scaled model in water, assuming flow similarity. Viscosities and densities given. Drag measured for model is 2280 N. Drag experienced by full-scale object is ______ N.
GATE→2022→Aerodynamics→Basic Fluid Mechanics
Q37
NAT[2 Marks]
A rotational velocity field in an air flow is given as V⃗=ayi^+bxj^\vec{V} = ay\hat{i} + bx\hat{j}, with a=10 s−1a = 10\text{ s}^{-1}, b=20 s−1b = 20\text{ s}^{-1}. Air density is 1.0 kg/m31.0\text{ kg/m}^3 and pressure at (0,0)(0,0) is 100 kPa100\text{ kPa}. Pressure at (6,8)(6,8) is ______ kPa (rounded off to nearest integer).
GATE→2022→Aerodynamics→Basic Fluid Mechanics
Q38
NAT[2 Marks]
Consider a solid cylinder housed inside another cylinder. Radius of inner cylinder is 1 m1\text{ m} and height 2 m2\text{ m}. Gap is 5 mm5\text{ mm}, viscosity 10−4 Pa-s10^{-4}\text{ Pa-s}, angular speed 5 rad/s5\text{ rad/s}. Driving moment is ______ Nm (round off to two decimal places).
Figure for Question 38

Airfoils and Wings

49 Questions
GATE→2026→Aerodynamics→Airfoils and Wings
Q39
MCQ[1 Mark]
The fundamental purpose of the Kutta condition in the thin airfoil theory is ________.
GATE→2026→Aerodynamics→Airfoils and Wings
Q40
MSQ[1 Mark]
Shown below are qualitative illustrations of the lift curve for an airfoil when two different control surfaces are in their respective retracted and deployed configurations. Which of the following is/are TRUE?
Figure for Question 40
GATE→2026→Aerodynamics→Airfoils and Wings
Q41
MSQ[1 Mark]
Which of the following statements is/are TRUE regarding critical and drag divergence Mach numbers of a wing?
GATE→2026→Aerodynamics→Airfoils and Wings
Q42
NAT[1 Mark]
An elliptic wing has a span of 6 m and a planform area of 6 m2. When generating a lift coefficient of 0.6, the induced drag it incurs is ________ × 10−3 (rounded off to 1 decimal place).
GATE→2026→Aerodynamics→Airfoils and Wings
Q43
MSQ[2 Marks]
What is/are the use(s) of the single horseshoe vortex model of finite wing aerodynamic theory?
GATE→2026→Aerodynamics→Airfoils and Wings
Q44
NAT[2 Marks]
For an airfoil section the pitching moment coefficient is determined about a reference point that is 0.3 times the chord behind the leading edge. It varies with the lift coefficient as shown in the table below. The distance of the aerodynamic center from the leading edge of the airfoil as a fraction of the chord is ________ (rounded off to one decimal place). 𝑐𝑙 0.2 0.4 0.6 0.8 𝑐𝑚 – 0.02 0 0.02 0.04
GATE→2026→Aerodynamics→Airfoils and Wings
Q45
NAT[2 Marks]
Consider a finite wing of aspect ratio 10 with span effectiveness factor 0.95. Its airfoil section has a lift slope of 0.106 per degree and a zero-lift angle of attack of –1.5°. The lift coefficient of the wing at an angle of attack of 3.5° is ________ (rounded off to 2 decimal places).
GATE→2026→Aerodynamics→Airfoils and Wings
Q46
NAT[2 Marks]
Thin airfoil theory predicts the zero-lift angle of attack 𝛼𝐿=0 of NACA 2412 airfoil as −2.1°. The corresponding prediction of 𝛼𝐿=0 for NACA 5410 airfoil is ________ degrees (rounded off to 1 decimal place).
GATE→2025→Aerodynamics→Airfoils and Wings
Q47
MCQ[1 Mark]
For a NACA 4415 airfoil, the location of maximum camber, as a fraction of the chord length from the leading edge, is ______.
GATE→2025→Aerodynamics→Airfoils and Wings
Q48
MCQ[1 Mark]
A positively cambered airfoil is placed in a uniform flow (velocity, U∞) at its zero-lift angle of attack. M is the corresponding pitching moment. Which one of the following representations accurately describes this scenario?
Figure for Question 48
GATE→2025→Aerodynamics→Airfoils and Wings
Q49
MCQ[2 Marks]
A lifting surface has a spanwise circulation distribution of Γ(𝜃) = 𝐴sin3𝜃 (where 𝐴≠0) over its span − 𝑏 2 ≤𝑦≤ 𝑏 2, and 𝑦= − 𝑏 2 cos 𝜃 is the spanwise coordinate. Furthermore, the downwash varies along the span as 𝑤(𝜃) = 𝑉∞( 3𝐴sin 3𝜃 sin 𝜃), where 𝑉∞ is the freestream velocity. Which one of the following options represents the total lift (𝐿) and induced drag (𝐷𝑖)?
Figure for Question 49
GATE→2025→Aerodynamics→Airfoils and Wings
Q50
NAT[2 Marks]
A rectangular wing of 1.2 m chord length and aspect ratio 5 is tested in a wind tunnel at an air speed of 60 m/s. The density and the dynamic viscosity of air are 1.3 kg/m3 and 1.8×10-5 kg/m-s, respectively. A second rectangular wing of the same span, but with an aspect ratio of 6, is to be tested in the same tunnel at the same Reynolds number. The air speed at which the second test should be performed is _______ m/s (answer in integer).
GATE→2024→Aerodynamics→Airfoils and Wings
Q51
MCQ[1 Mark]
Consider the free vibration responses P, Q, R and S (shown in the figure) of a single degree of freedom spring-mass-damper system with the same initial conditions. For the different damping cases listed below, which one of the following options is correct? 1. Overdamped 2. Underdamped 3. Critically damped 4. Undamped
Figure for Question 51
GATE→2024→Aerodynamics→Airfoils and Wings
Q52
MCQ[1 Mark]
A surrogate liquid hydrocarbon fuel, approximated as C10H12, is being burned in a land-based gas turbine combustor with dry air (79% N2 and 21% O2 by volume). How many moles of dry air are required for the stoichiometric combustion of the surrogate fuel with dry air at atmospheric temperature and pressure?
GATE→2024→Aerodynamics→Airfoils and Wings
Q53
MCQ[1 Mark]
In an airbreathing gas turbine engine, the combustor inlet temperature is 600 K. The heating value of the fuel is 43.4 × 106 J/kg. Assume Cp to be 1100 J/kg K for air and burned gases, and fuel-air ratio f << 1.0. Neglect kinetic energy at the inlet and exit of the combustor and assume 100% burner efficiency. What is the fuel-air ratio required to achieve 1300 K temperature at the combustor exit?
GATE→2024→Aerodynamics→Airfoils and Wings
Q54
MCQ[1 Mark]
Which one of the following figures represents the drag polar of a general aviation aircraft?
Figure for Question 54
GATE→2024→Aerodynamics→Airfoils and Wings
Q55
MCQ[1 Mark]
In the context of steady, inviscid, incompressible flows, consider the superposition of a uniform flow with speed U along the positive x-axis (from left to right), and a source of strength Λ located at the origin. Which one of the following statements is NOT true regarding the location of the stagnation point of the resulting flow?
GATE→2024→Aerodynamics→Airfoils and Wings
Q56
MCQ[1 Mark]
On Day 1, an aircraft flies with a speed of 𝑉1 m/s at an altitude where the temperature is T1 K. On Day 2, the same aircraft flies with a speed of √1.2 𝑉1 m/s at an altitude where the temperature is 1.2 T1 K. How does the Mach number M2 on Day 2 compare with the Mach number M1 on Day 1? Assume ideal gas behavior for air. Also assume the ratio of specific heats and molecular weight of air to be the same on both the days.
GATE→2024→Aerodynamics→Airfoils and Wings
Q57
MCQ[1 Mark]
Consider a steady, isentropic, supersonic flow (Mach number M > 1) entering a Convergent-Divergent (CD) duct as shown in the figure. Which one of the following options correctly describes the flow at the throat?
Figure for Question 57
GATE→2024→Aerodynamics→Airfoils and Wings
Q58
MCQ[1 Mark]
Consider steady, incompressible, inviscid flow past two airfoils shown in the figure. The coefficient of pressure at the trailing edge of the airfoil with finite angle, shown in figure (I), is 𝐶𝑃𝐼 while that at the trailing edge of the airfoil with cusp, shown in figure (II), is 𝐶𝑃𝐼𝐼. Which one of the following options is TRUE?
Figure for Question 58
GATE→2024→Aerodynamics→Airfoils and Wings
Q59
MSQ[1 Mark]
Which of the following options is/are correct?
Figure for Question 59
GATE→2024→Aerodynamics→Airfoils and Wings
Q60
MSQ[1 Mark]
Which of the following statements is/are correct about a satellite moving in a geostationary orbit?
GATE→2024→Aerodynamics→Airfoils and Wings
Q61
MSQ[1 Mark]
In a conventional configuration airplane, the rudder can be used:
GATE→2024→Aerodynamics→Airfoils and Wings
Q62
MSQ[1 Mark]
Which of the following statements about a general aviation aircraft, while operating at point Q in the V-n diagram, is/are true?
Figure for Question 62
GATE→2024→Aerodynamics→Airfoils and Wings
Q63
NAT[1 Mark]
An airplane experiences a net vertical ground reaction of 15000 N during landing. The weight of the airplane is 10000 N. The landing vertical load factor, defined as the ratio of inertial load to the weight of the aircraft, is __________ (rounded off to 1 decimal place).
GATE→2024→Aerodynamics→Airfoils and Wings
Q64
NAT[1 Mark]
An aircraft with a turbojet engine is flying with 250 m/s speed at an altitude, where the density of air is 1 kg/m3. The inlet area of the engine is 1 m2. The average velocity of the exhaust gases at the exit of the nozzle, with respect to aircraft, is 550 m/s. Assume the engine exit pressure is equal to the ambient pressure and the fuel-air ratio is negligible. The uninstalled thrust produced by the engine at these conditions is _________ N (rounded off to the nearest integer).
GATE→2024→Aerodynamics→Airfoils and Wings
Q65
NAT[1 Mark]
Using thin airfoil theory, the lift coefficient of a NACA 0012 airfoil placed at 5o angle of attack in a uniform flow is _____________ (rounded off to 2 decimal places).
GATE→2024→Aerodynamics→Airfoils and Wings
Q66
MCQ[2 Marks]
As per the International Standard Atmosphere model, which one of the following options about density variation with increase in altitude in the isothermal layer is correct?
GATE→2024→Aerodynamics→Airfoils and Wings
Q67
MCQ[2 Marks]
A multistage axial compressor, with overall isentropic efficiency of 0.83, is used to compress air at a stagnation temperature of 300 K through a pressure ratio of 10:1. Each stage of the compressor is similar, and the stagnation temperature rise across each compressor stage is 20 K. Assume Cp = 1005 J/kg K and  = 1.4 for air. How many stages are there in the compressor?
GATE→2024→Aerodynamics→Airfoils and Wings
Q68
MCQ[2 Marks]
An aircraft with a turbojet engine is flying at 250 m/s. The uninstalled thrust produced by the engine is 60000 N. The heating value of the fuel is 44 × 106 J/kg. The engine has a thermal efficiency of 35% while burning the fuel at a rate of 3 kg/s. Assume the engine exit pressure to be equal to the ambient pressure. What is the propulsion efficiency of the engine under these conditions (in percentage)?
GATE→2024→Aerodynamics→Airfoils and Wings
Q69
MCQ[2 Marks]
Consider a flat plate, with a sharp leading edge, placed in a uniform flow of speed U. The direction of the free-stream flow is aligned with the plate. Assume that the flow is steady, incompressible and laminar. The thickness of the boundary layer at a fixed stream-wise location L from the leading edge of the plate is δ. Which one of the following correctly describes the variation of δ with U?
GATE→2024→Aerodynamics→Airfoils and Wings
Q70
MCQ[2 Marks]
Shock structures for flow at three different Mach numbers over a given wedge are shown in the figure below. Assuming that only the weak shock solutions are possible for the attached oblique shocks, which one of the following options is TRUE?
Figure for Question 70
GATE→2024→Aerodynamics→Airfoils and Wings
Q71
MCQ[2 Marks]
Air flowing at Mach number M = 2 from left to right accelerates to M = 3 across an expansion corner as shown in the figure. What is the value of 𝛿 (the angle between the Forward and Rearward Mach lines) in degrees? The values of the Prandtl-Meyer functions are 𝜈(3) = 49.76o and 𝜈(2) = 26.38o.
Figure for Question 71
GATE→2024→Aerodynamics→Airfoils and Wings
Q72
MSQ[2 Marks]
Which of the following statements about absolute ceiling and service ceiling for a piston-propeller aircraft is/are correct?
GATE→2024→Aerodynamics→Airfoils and Wings
Q73
MSQ[2 Marks]
For an airplane having directional / weathercock static stability, which of the following options is/are correct?
GATE→2024→Aerodynamics→Airfoils and Wings
Q74
MSQ[2 Marks]
Which of the following statements is/are TRUE for an axial turbine?
GATE→2024→Aerodynamics→Airfoils and Wings
Q75
MSQ[2 Marks]
Which of the following statements is/are TRUE for a single stage axial compressor?
GATE→2024→Aerodynamics→Airfoils and Wings
Q76
NAT[2 Marks]
A chemical rocket with an ideally expanded flow through the nozzle produces 5 × 106 N thrust at sea level. The specific impulse of the rocket is 200 s and acceleration due to gravity at the sea level is 9.8 m/s2. The propellent mass flow rate out of the rocket nozzle is _________ kg/s (rounded off to the nearest integer).
GATE→2024→Aerodynamics→Airfoils and Wings
Q77
NAT[2 Marks]
A centrifugal compressor is designed to operate with air. At the leading edge of the tip of the inducer (eye of the impeller), the blade angle is 45o, and the relative Mach number is 1.0. The stagnation temperature of the incoming air is 300 K. Consider  = 1.4. Neglect pre-whirl and slip. The inducer tip speed is ________ m/s (rounded off to the nearest integer).
GATE→2024→Aerodynamics→Airfoils and Wings
Q78
NAT[2 Marks]
Consider the following Fanno flow problem: Flow enters a constant area duct at a temperature of 273 K and a Mach number 0.2 and eventually reaches sonic condition (Mach number =1) due to friction. Assume 𝛾= 1.4. The static temperature at the location where sonic condition is reached is_____________ K (rounded off to 2 decimal places).
GATE→2024→Aerodynamics→Airfoils and Wings
Q79
NAT[2 Marks]
For an aircraft moving at 4 km altitude above mean sea level at a Mach number of 0.2, the ratio of equivalent air speed to true air speed is _______ (rounded off to 2 decimal places). The density of air at mean sea level is 1.225 kg/m3 and at 4 km altitude is 0.819 kg/m3.
GATE→2024→Aerodynamics→Airfoils and Wings
Q80
NAT[2 Marks]
The figure (not to scale) shows a control volume to estimate the forces on the airfoil with elliptic cross-section. Surfaces 2 and 3 are streamlines. Velocity profiles are measured at the upstream end (surface 1) and at the downstream end (surface 4) of the control volume. The drag coefficient for the airfoil is defined as Cd = 𝐷 1 2 𝜌 𝑈∞ 2 𝑐 , where D is the drag force on the airfoil per unit span and  is the density of the air. The static pressure, p, is constant over the entire surface of the control volume. Assuming the flow to be incompressible, two-dimensional and steady, the Cd for the airfoil is _________ (rounded off to 3 decimal places).
Figure for Question 80
GATE→2024→Aerodynamics→Airfoils and Wings
Q81
NAT[2 Marks]
An airplane of mass 1000 kg is in a steady level flight with a speed of 50 m/s. The wing has an elliptic planform with a span of 20 m and planform area 31.4 m2. Assuming the density of air at that altitude to be 1 kg/m3 and acceleration due to gravity to be 10 m/s2, the induced drag on the wing is _________ N (rounded off to 1 decimal place).
GATE→2024→Aerodynamics→Airfoils and Wings
Q82
NAT[2 Marks]
It is desired to estimate the aerodynamic drag, D, on a car traveling at a speed of 30 m/s. A one-third scale model of the car is tested in a wind-tunnel following the principles of dynamic similarity. The drag on the scaled model is measured to be Dm. The ratio D/Dm is _________ (rounded off to 1 decimal place).
GATE→2023→Aerodynamics→Airfoils and Wings
Q83
MCQ[1 Mark]
The figures shown in the options are schematics of airfoil shapes (not to scale). For a civilian transport aircraft designed for a cruise Mach number of 0.8, which among them is aerodynamically best suited as a wing section?
Figure for Question 83
GATE→2023→Aerodynamics→Airfoils and Wings
Q84
NAT[2 Marks]
o . A thin cambered airfoil has lift coefficient lc = 0 at an angle of attack α= −1.1 o is _______. Assuming that stall occurs at much larger α, the lc at α= 4 (round off to two decimal places)
GATE→2022→Aerodynamics→Airfoils and Wings
Q85
MSQ[1 Mark]
NACA 2412 airfoil has
GATE→2022→Aerodynamics→Airfoils and Wings
Q86
NAT[2 Marks]
Consider a circulation distribution over a finite wing given by Γ(y)=Γ0(1−2∣y∣/b)\Gamma(y) = \Gamma_0(1 - 2|y|/b) for ∣y∣≤b/2|y| \le b/2. Span b=10 mb = 10\text{ m}, Γ0=20 m2/s\Gamma_0 = 20\text{ m}^2/s, ρ=1.2 kg/m3\rho = 1.2\text{ kg/m}^3, U∞=80 m/sU_{\infty} = 80\text{ m/s}. Lift over the wing is ______ N.
GATE→2022→Aerodynamics→Airfoils and Wings
Q87
NAT[2 Marks]
Consider a thin symmetric airfoil at 2 degree angle of attack in a uniform flow at 50 m/s50\text{ m/s}. The pitching moment coefficient about its leading edge is ______ (round off to three decimal places).

Potential Flow and Viscous Flows

11 Questions
GATE→2026→Aerodynamics→Potential Flow and Viscous Flows
Q88
MCQ[1 Mark]
In fluid dynamics, d’Alembert’s paradox refers to which one of the following?
GATE→2026→Aerodynamics→Potential Flow and Viscous Flows
Q89
MCQ[1 Mark]
The velocity potential function (𝜑) given below represents which one of the following? 𝜑 = 5𝑥 − 12𝑦
GATE→2026→Aerodynamics→Potential Flow and Viscous Flows
Q90
MSQ[2 Marks]
Consider the flow over an oval modeled using the elementary potential flows as shown below. 𝑈 represents uniform flow velocity and 𝛤 represents circulation around an irrotational line vortex. Which of the following statements is/are TRUE for this model?
Figure for Question 90
GATE→2025→Aerodynamics→Potential Flow and Viscous Flows
Q91
MCQ[1 Mark]
For a two-dimensional incompressible flow over a flat plate, the laminar boundary layer thickness at a distance 𝑥 from the leading edge is 𝛿. If 𝑅𝑒𝑥 is the Reynolds number defined based on length scale x, ( 𝛿 𝑥) is proportional to ______.
GATE→2025→Aerodynamics→Potential Flow and Viscous Flows
Q92
MCQ[1 Mark]
Consider a pair of point vortices with clockwise circulation Γ each. The distance between their centers is 𝑎, as shown in the figure. Assume two-dimensional, incompressible, inviscid flow. Which one of the following options is correct?
Figure for Question 92
GATE→2025→Aerodynamics→Potential Flow and Viscous Flows
Q93
NAT[1 Mark]
The lift per unit span for a spinning circular cylinder in a potential flow is 6 N/m. The free-stream velocity is 30 m/s, and the density of air is 1.225 kg/m3. The circulation around the cylinder is ____ m2/s (rounded off to two decimal places).
GATE→2023→Aerodynamics→Potential Flow and Viscous Flows
Q94
MCQ[1 Mark]
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?
Figure for Question 94
GATE→2023→Aerodynamics→Potential Flow and Viscous Flows
Q95
MCQ[1 Mark]
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.
GATE→2023→Aerodynamics→Potential Flow and Viscous Flows
Q96
MCQ[1 Mark]
In a two-dimensional potential flow, the doublet is a limit of the superposition of
GATE→2023→Aerodynamics→Potential Flow and Viscous Flows
Q97
NAT[2 Marks]
In a potential flow, a uniform stream of strength U directed along the x-axis and  − − four line sources (2-dimensional) of strengths , , , are placed along 2 3 4 5 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).
GATE→2022→Aerodynamics→Potential Flow and Viscous Flows
Q98
MCQ[1 Mark]
Consider a two-dimensional potential flow over a cylinder. If the freestream speed is U∞U_{\infty}, the maximum speed on the cylinder surface is

Wind Tunnel Testing

1 Question
GATE→2026→Aerodynamics→Wind Tunnel Testing
Q99
NAT[1 Mark]
The vortex shedding frequency behind a landing gear model is found to be 50 Hz when tested in a wind tunnel operating at 5 m/s. If the actual landing gear size is 10 times that of the model, and it is designed to operate at 50 m/s, then the expected vortex shedding frequency behind it is ________ Hz (rounded off to the nearest integer).