GATE XE concept:vorticity PYQs & Answers

Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.

Which one of the following is the main reason why tropical cyclones rarely form over the Bay of Bengal during the summer monsoon season?

Your answerChoose one option.

Strong vertical wind shear.

Weak low-level relative vorticity.

Dry mid-troposphere.

Stable atmosphere.

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A column of air mass extend from surface to a height of 10 km moving eastward along 30 °N isobars a north-south oriented mountain range. While crossing the mountain range, the air mass acquires a relative vorticity of −3.65 × 10⁻⁵ s⁻¹ at the top. If the air mass maintains the same latitude and potential vorticity, the height of the mountain range is ______ km. (Round off to the nearest integer.) [Assume the angular velocity of the Earth is 7.3 × 10⁻⁵ s⁻¹ and initial relative vorticity is zero.]

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Consider the velocities

, and

in x-, y-, and z-directions, respectively. The vorticity in the y-z plane is

Your answerChoose one option.

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A stationary air parcel centered on the equator is moved north-ward by conserving absolute vorticity. In the new location it has gained a relative vorticity of

. The latitude of its new location is ____ °N. (Assume the angular velocity of earth is

). (Answer in integer)

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Which of the following statements are true?

(i) Conservation of mass for an unsteady incompressible flow can be represented as

, where

denotes velocity vector.

(ii) Circulation is defined as the line integral of vorticity about a closed curve.

(iii) For some fluids, shear stress can be a non-linear function of the shear strain rate.

(iv) Integration of the Bernoulli’s equation along a streamline under steady-state leads to the Euler’s equation.

Your answerChoose one option.

(i), (ii) and (iv) only

(i), (ii) and (iii) only

(i) and (iii) only

(ii) and (iv) only

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In a local Cartesian system, a zonal jet has a form u(y) = u₀ (1 − y²/L²), for −L ≤ y ≤ L. Here, y is the meridional distance measured from the axis of the jet and is positive northward. The vertical component of vorticity of this flow at y=L/2 is ____ s⁻¹. Round off to 3 decimal place.

Take u₀ = 50 m s⁻¹ and L = 5 km.

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The volume flow between any two points not lying on the same stream in a flow field is equal to

Your answerChoose one option.

Change in strain rate between the points

Change in vorticity between the points

Change in potential function between the points

Change in stream function between the points

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The stream function of a flow field is

where

is a constant. Which one of the following represents the vorticity?

Your answerChoose one option.

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Consider a high pressure centre in the northern hemisphere with tangential winds of 10 m s⁻¹ at a distance of 500 km from the centre. Assuming solid body rotation principles, what is the relative vorticity of the flow?

Your answerChoose one option.

2 × 10⁻⁵ s⁻¹

−2 × 10⁻⁵ s⁻¹

4 × 10⁻⁵ s⁻¹

−4 × 10⁻⁵ s⁻¹

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and

are the velocity components in the

- and

-directions respectively, the

-component of vorticity

at a point in a flow field is

Your answerChoose one option.

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GATE XE concept:vorticity PYQs

How to practice concept:vorticity

Question 156

Question 174

Question 24

Question 175

Question 28

Question 18

Question 7

Question 13

Question 10

Question 2