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This section includes 9 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. |
Approximate the surface integral ∫Swf d\(\vec{S}\) using the Simpson’s rule. |
A. | \(\frac{S_w}{6}\)(2fnw+2fw+2fsw) |
B. | \(\frac{S_w}{4}\)(2fnw+2fsw) |
C. | \(\frac{S_w}{6}\)(fnw+4fw+fsw) |
D. | \(\frac{S_w}{4}\)(fnw+2fw+fsw) |
Answer» D. \(\frac{S_w}{4}\)(fnw+2fw+fsw) | |
2. |
In a one-dimensional flow, the volume integral becomes __________ |
A. | a line integral |
B. | an area integral |
C. | a surface integral |
D. | a surface integral and the Gauss divergence theorem |
Answer» B. an area integral | |
3. |
For three-dimensional flows, what is the approximation of the volume integral using the midpoint rule? |
A. | Product of the integrand at the face centre and the volume of the control volume |
B. | Product of the integrand at the control volume centre and the volume of the control volume |
C. | Product of the integrand at the control volume centre and the surface area of the control volume |
D. | Product of the integrand at the face centre and the surface area of the control volume |
Answer» C. Product of the integrand at the control volume centre and the surface area of the control volume | |
4. |
In a two dimensional flow, how many terms does Simpson’s rule need to approximate a surface integral? |
A. | four terms |
B. | one term |
C. | two terms |
D. | three terms |
Answer» E. | |
5. |
Approximate the surface integral in the eastern face ∫Sefd\(\vec{S}\) of a two-dimensional problem using the trapezoidal rule. |
A. | \(\frac{3}{2}\)(fne+fse) |
B. | 3 \(\frac{S_e}{2}\)(fne+fse) |
C. | \(\frac{1}{2}\)(fne+fse) |
D. | \(\frac{S_e}{2}\) (fne+fs |
E. | 3 \(\frac{S_e}{2}\)(fne+fse)c) \(\frac{1}{2}\)(fne+fse)d) \(\frac{S_e}{2}\) (fne+fse) |
Answer» D. \(\frac{S_e}{2}\) (fne+fs | |
6. |
Consider a two-dimensional flow. If f is the component of the flux vector normal to the control volume faces, which of these terms represent ∫Sfd\(\vec{S}\)? |
A. | \(\Sigma_{k=1}^4 \int_{S_k} f d\vec{S}\) |
B. | \(\Sigma_{k=1}^2 \int_{S_k} f d\vec{S}\) |
C. | \(\Sigma_{k=1}^6 \int_{S_k} f d\vec{S}\) |
D. | \(\Sigma_{k=1}^8 \int_{S_k} f d\vec{S}\) |
Answer» B. \(\Sigma_{k=1}^2 \int_{S_k} f d\vec{S}\) | |
7. |
Which of these terms need a volume integral while modelling steady flows? |
A. | Convection term |
B. | Diffusion term |
C. | Source term |
D. | Rate of change term |
Answer» D. Rate of change term | |
8. |
Which of these terms need a surface integral? |
A. | Diffusion and rate of change terms |
B. | Convection and source terms |
C. | Convection and diffusion terms |
D. | Diffusion and source terms |
Answer» D. Diffusion and source terms | |
9. |
Which of these models will directly give the conservative equations suitable for the finite volume method? |
A. | Finite control volume moving along with the flow |
B. | Finite control volume fixed in space |
C. | Infinitesimally small fluid element moving along with the flow |
D. | Infinitesimally small fluid element fixed in space |
Answer» C. Infinitesimally small fluid element moving along with the flow | |