GATE AE Potential Flow Theory PYQs & Answers

Questions 1–10 of 22. Imported answers require independent review unless marked reviewed.

In fluid dynamics, d’Alembert’s paradox refers to which one of the following?

Your answerChoose one option.

Deviation of drag from

at very low speeds

Deviation of drag from

at high subsonic speeds

Prediction of zero drag by potential flow theory

Presence of shocks in transonic flows

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The velocity potential function (

) given below represents which one of the following?

Your answerChoose one option.

Doublet

Irrotational vortex

Source

Uniform flow

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Consider the flow over an oval modeled using the elementary potential flows as shown below.

represents uniform flow velocity and

represents circulation around an irrotational line vortex.

Diagram for Aerospace Engineering question 47

Which of the following statements is/are TRUE for this model?

Your answerSelect all correct options. You can choose more than one.

Increasing

enlarges the oval

Increasing

enlarges the oval

Interchanging the sense of the two vortices does not alter the oval

Moving the vortices too far apart causes the oval to break up

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For a two-dimensional incompressible flow over a flat plate, the laminar boundary layer thickness at a distance

from the leading edge is

. If

is the Reynolds number defined based on length scale

is proportional to _____.

Your answerChoose one option.

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Consider a pair of point vortices with clockwise circulation

each. The distance between their centers is

, as shown in the figure. Assume two-dimensional, incompressible, inviscid flow. Which one of the following options is correct?

Diagram for Aerospace Engineering question 20

Your answerChoose one option.

The vortices translate downwards together with a velocity

The vortices translate upwards together with a velocity

The vortices rotate clockwise around each other about their centroid O.

The vortices rotate counter-clockwise around each other about their centroid O.

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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/m

. The circulation around the cylinder is ____ m

/s (rounded off to two decimal places).

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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 station point of the resulting flow?

Your answerChoose one option.

It is located to the left of the origin

It moves closer to the origin for increasing Λ, while U is held constant

It moves closer to the origin for increasing U, while Λ is held constant

It is located along the x-axis

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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

. Which one of the following correct describes the variation of

with U?

Your answerChoose one option.

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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?

Diagram for Aerospace Engineering question 14

Your answerChoose one option.

Addition of a source of strength

Addition of a circulation of strength

(counter-clockwise)

Addition of a circulation of strength

(clockwise)

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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

with distance

from the leading edge along the length of the plate.

Your answerChoose one option.

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GATE AE Potential Flow Theory PYQs

How to practice Potential Flow Theory

Question 15

Question 19

Question 47

Question 17

Question 20

Question 34

Question 21

Question 42

Question 14

Question 15