GATE CE 2020: Fluid Mechanics Quiz 4 (App update required to attempt this test)

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Question 1

The velocity components of a two dimensional plane motion of a fluid are

The correct statement is:

• AFluid is incompressible and flow is irrotational
• BFluid is incompressible and flow is rotational
• CFluid is compressible and flow is irrotational
• DFluid is compressible and flow is rotational

Question 2

A plane flow has velocity components, and w=0 and x, y and z directions respectively, where T₁(≠0) and T₂(≠0) are constants having the dimensions of time. The given flow is incompressible if

• AT₁=-T₂
• BT₁ = T₂/2
• CT₁ = 2T₂
• DT₁=T₂

Question 3

The stream function for uniform flow past a circular cylinder of radius 'a' in polar co-ordinates is given by is the free stream velocity parallel to the horizontal axis. The velocity component in r direction (V_r) on the cylinder at 90 ° is ________.

• A1/r
• B0
• Ca²/r
• Da²

Question 4

A nozzle is so shaped that the average flow velocity changes linearly from 1.5 m/s at the beginning to 15 m/s at its end in a distance of 0.375 m. The magnitude of the convective acceleration (in m/s2) at the beginning of the nozzle is _________.

Answer

Question 5

Consider the following statements in respect of two-dimensional incompressible flow with velocity components u and v in x and y directions respectively :
1) The continuity equation is
2) The acceleration in x-direction is
3) The condition of irrotationality is
4) The equation of a streamline is
Which of these statements are correct?

• A2 and 3 only
• B1 and 2 only
• C1, 2 and 3
• D3 and 4

Question 6

X-component of velocity in a two-dimensional incompressible flow is given by u = 2y² + 6xy. If the Y-component of velocity v is zero at y = 0, the expression for Y-component of velocity is given by

• Av = 3y²
• Bv = -3y² - f(x)
• Cv = - 3y²
• Dv = -3y² + f(x)

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