Explore topic-wise MCQs in Computational Fluid Dynamics.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Computational Fluid Dynamics knowledge and support exam preparation. Choose a topic below to get started.

1.

Expand divergence of velocity . ( vec{V} ) for a one-dimensional flow.

A. ( frac{ partial u}{ partial x}+ frac{ partial v}{ partial y}+ frac{ partial w}{ partial z} )
B. ( frac{ partial u}{ partial x} )
C. ( frac{du}{dx}+ frac{dv}{dy}+ frac{dw}{dz} )
D. ( frac{D vec{V}}{Dt} )
Answer» C. ( frac{du}{dx}+ frac{dv}{dy}+ frac{dw}{dz} )
Discussion
2.

For infinitesimally small element (with volume V) moving along with the flow with velocity ( vec{V} ), which of these equations represent the divergence of velocity?

A. ( nabla. vec{V} = frac{1}{ delta V} frac{d( delta V)}{dt} )
B. ( nabla. vec{V} = frac{D( delta V)}{dt} )
C. ( nabla. vec{V} = frac{1}{ delta V} frac{D( delta V)}{dt} )
D. ( nabla. vec{V} = frac{d( delta V)}{dt} )
Answer» D. ( nabla. vec{V} = frac{d( delta V)}{dt} )
Discussion
3.

Let (( vec{V} Delta t). vec{ds} ) be the change in volume of elemental control volume in time t. Over the same time t, what is the change in volume of the whole control volume V with control surface S?

A. ( int( vec{V} Delta t). vec{ds} )
B. ( vec{V} Delta t )
C. ( sum( vec{V} Delta t). vec{ds} )
D. ( iint_s( vec{V} Delta t). vec{ds} )
Answer» E.
Discussion
4.

Divergence of velocity appears in the governing equations for _____________

A. infinitesimally small elements
B. stationary models
C. moving models
D. finite control volumes
Answer» D. finite control volumes
Discussion
5.

What is the physical meaning of divergence of velocity?

A. Time rate of change of the volume per unit volume
B. Time rate of change of the volume of a moving fluid element per unit volume
C. Time rate of change of the volume
D. Time rate of change of the volume of a moving fluid element
Answer» C. Time rate of change of the volume
Discussion
6.

The time rate of change of a control volume moving along with the flow is represented by substantial derivative. Why?

A. Because the change is substantial
B. Because the change is more
C. Because of control volume
D. Because it is moving with the flow
Answer» E.
Discussion
7.

For a control volume moving along with the flow, which of these properties is a constant?

A. Volume
B. Shape
C. Mass
D. Velocity
Answer» D. Velocity
Discussion
8.

In mathematical terms, how can the divergence of a velocity vector (( vec{V}) ) be represented?

A. ( nabla. vec{V} )
B. ( nabla vec{V} )
C. ( nabla times vec{V} )
D. ( vec{V} times nabla )
Answer» B. ( nabla vec{V} )
Discussion