Past Year Questions: Fluid Kinematics - Mechanical Engineering MCQ

A leaf is caught in a whirlpool. At a given instant, the leaf is at a distance of 120 m from the centre of the whirlpool. The whirlpool can be described by the following velocity distribution: 
 m/s and m/s, where r (in meters) is thedistance from the centre of the whirlpool. What will be the distance of the leaf from the centre when it has moved through half a revolution?

[2005]

In a steady flow through a nozzle, the flow velocity on the nozzle axis is given by v= u₀ (1 + 3x/L)i, where x is the distance along the axis of the nozzle from its inlet plane and L is the length of the nozzle. The time required for a fluid particle on the axis to travel from the inlet to the exit plane of the nozzle is

[2007]

In a two - dimensional velocity field with velocities u and v along the x and y directions respectively, the convective acceleration along the x-direction is given by

[2006]

A flow field which has only convective acceleration is

[2014 Set-4]

Consider the two-dimensional velocity field given by = (5 + a₁x + +b₁y) + (4 + a₂x + b₂y) , where a₁, b₁, a₂ and b₂ are constants.

Which one of the following conditions needs to be satisfied for the flow to be incompressible?

[2017: Set-1]

Streamlines, path lines and streak lines are virtually identical for

[1994]

For a fluid element in a two dimensional flow field (x-y plane), if it will undergo

[1994]

Existence of velocity potential implies that

[1994]

The 2-D flow with, velocity is

[2001]

Which combination of the following statements about steady incompressible forced vortex flow is correct?
P : Shear stress is zero at all points in the flow.
Q : Vorticity is zero at all points in the flow.
R : Velocity is directly proportional to the radius from the centre of the vortex.
S : Total mechanical energy per unit mass is constant in the entire flow field.
Select the correct answer using the codes given below:

[2007]

For the continuity equation given by to be valid, where is the velocity vector,which one of the following is a necessary condition?

[2008]

For an incompressible flow field, V, which one of the following conditions must be satisfied?

[2014, Set-2]

Match the following pairs:

[2015: Set-1]

For a two-dimensional incompressible flow field given by , where A > 0, which one of the following statements is FALSE?
A. It satisfies continuity equation B. It is unidirectional when x → 0 and y → ∞.
C. Its streamlines are given by x = y.
D. It is irrotational

[2018, Set-1]

In a Lagrangian system, the position of a fluid particle in a flow is described as x = x₀e^–kt and y = y₀e^kt   where t is the time while x₀, y₀, and k are constants. The flow is

[2018, Set-1]

The velocity potential function for a source varies with the distance r as

[1987]

A streamlined body is defined as a body about which

[1987]

The Newtonian fluid has the following velocity field:

The rate shear deformation ∈_yz at the point x  = -2, y = -1 and z = 2 for the given flow is

[1988]

In a flow field the stream lines and equipotential lines

[1994]

A fluid flow is represented by the velocity field ​, where a is a constant. The equation of stream line passing through a point (1, 2) is

[2004]

A two-dimensional flow field has velocities along the x and y directions given by u = x²t and v = –2xyt respectively, where t is time. The equation of streamline is

[2006]

A streamline and an equipotential line in a flow field

[2011]

Consider a velocity field where K is a constant. The vorticity, Ω Z, is

[2014 Set-4]

For a certain two-dimensional incompressible flow, velocity field is given by . The streamlines for this flow are given by the family of curves

[2016,Set-3]

For a steady flow, the velocity field is . The magnitude of the acceleration of a particle at (1, - 1) is

[2017 Set-1]

A two-dimensional in compressible friction less flow field is given by  . If ρ is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as

[2019, Set -2]

For a two-dimensional flow, the velocity field is are the basis vectors in the x – y Cartesian coordinate system. Identify the CORRECT statements from below.
1. The flow is incompressible
​2. The flow is unsteady
3. y-component of acceleration,

4. x-component of acceleration,

[2016, Set-3]