Explore topic-wise MCQs in Computational Fluid Dynamics.

This section includes 10 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.

Which of these is not an equivalent to for substantial derivative?

A. Lagrangian derivative
B. Material derivative
C. Total derivative
D. Eulerian derivative
Answer» E.
Discussion
2.

Substantial derivative is the same as ________ of differential calculus.

A. Partial derivative
B. Instantaneous derivative
C. Total derivative
D. Local derivative
Answer» D. Local derivative
Discussion
3.

Which of these terms represent the convective derivative of temperature (T)?

A. \(\vec{V}.\nabla T\)
B. \(\frac{DT}{Dt}\)
C. ∇T
D. \(\frac{\partial T}{\partial t}\)
Answer» B. \(\frac{DT}{Dt}\)
Discussion
4.

Substantial derivative = _____ + _____

A. Partial derivative, convective derivative
B. Local derivative, convective derivative
C. Local derivative, partial derivative
D. Total derivative, convective derivative
Answer» C. Local derivative, partial derivative
Discussion
5.

A flow property has substantial derivative. What does this imply?

A. The property is a function of both time and space
B. The property is a function of time only
C. The property is a function of space only
D. The property is independent of time and space
Answer» B. The property is a function of time only
Discussion
6.

Which of these statements best defines local derivative?

A. Time rate of change
B. Spatial rate of change
C. Time rate of change of a moving point
D. Time rate of change at a fixed point
Answer» E.
Discussion
7.

The simplified form of substantial derivative can be given by __________

A. \(\frac{DT}{Dt}=\frac{\partial T}{\partial t}+\nabla T\)
B. \(\frac{DT}{Dt}=\frac{\partial T}{\partial t}+\nabla .T\)
C. \(\frac{DT}{Dt}=\frac{\partial T}{\partial t}+\vec{V}.\nabla T\)
D. \(\frac{DT}{Dt}=\frac{\partial T}{\partial t}+\nabla \times T\)
Answer» D. \(\frac{DT}{Dt}=\frac{\partial T}{\partial t}+\nabla \times T\)
Discussion
8.

Substantial derivative applies to ____________

A. Both stationary and moving models
B. Only moving models
C. Only stationary models
D. Neither stationary nor moving models
Answer» C. Only stationary models
Discussion
9.

Expand the substantial derivative Dρ/Dt.

A. \(\frac{D\rho}{Dt}=\frac{d\rho}{dt}+u \frac{d\rho}{dx}+v\frac{d\rho}{dy}+w\frac{d\rho}{dz}\)
B. \(\frac{D\rho}{Dt}=\frac{\partial\rho}{\partial t}+u \frac{d\rho}{dy}+v\frac{d\rho}{dz}+w\frac{d\rho}{dx}\)
C. \(\frac{D\rho}{Dt}=\frac{d\rho}{dz}+u\frac{\partial \rho}{\partial y}+v\frac{\partial \rho}{\partial z}+w \frac{\partial \rho}{\partial t}\)
D. \(\frac{D\rho}{Dt}=\frac{\partial \rho}{\partial t}+u\frac{\partial \rho}{\partial x}+v\frac{\partial \rho}{\partial y}+w \frac{\partial \rho}{\partial z}\)
Answer» E.
Discussion
10.

How is the substantial derivative of velocity vector denoted?

A. \(\frac{D\vec{V}}{Dt}\)
B. \(\frac{d\vec{V}}{dt}\)
C. \(\frac{\partial \vec{V}}{\partial t}\)
D. \(\frac{D\vec{V}}{Dx}\)
Answer» B. \(\frac{d\vec{V}}{dt}\)
Discussion