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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. |
Solutions of a system of PDEs can be obtained by equating the numerator of Cramer s solution while using Cramer s rule. This method is used by __________ |
A. | Integral transform |
B. | Change of variables |
C. | Separation of variables |
D. | Method of characteristics |
Answer» E. | |
2. |
When the Eigenvalues are a mixture of real and imaginary values, the PDE is ___________ |
A. | elliptic-hyperbolic |
B. | parabolic |
C. | elliptic |
D. | hyperbolic |
Answer» B. parabolic | |
3. |
The Eigenvalues in the Eigenvalue method are ____________ |
A. | the type of the characteristic lines |
B. | the type of PDE |
C. | the slope of the characteristic lines |
D. | the slope of PDE |
Answer» D. the slope of PDE | |
4. |
What is the Cramer s numerator when the solution is the derivative of dependent variables? |
A. | any negative value |
B. | any positive value |
C. | 1 |
D. | 0 |
Answer» E. | |
5. |
_________ of the characteristic curves is used to find the type of PDE. |
A. | Starting point |
B. | Centre |
C. | Length |
D. | Slope |
Answer» E. | |
6. |
What are the Cramer s solutions equated to while using Cramer s method of classifying a PDE? |
A. | The dependent variables |
B. | The derivatives of dependent variables |
C. | The second derivatives of dependent variables |
D. | The highest derivatives of dependent variables |
Answer» C. The second derivatives of dependent variables | |
7. |
How the type of PDE is identified using Cramer s rule? |
A. | By equating the Cramer s denominator to 1 |
B. | By equating the Cramer s numerator to 1 |
C. | By equating the Cramer s denominator to 0 |
D. | By equating the Cramer s numerator to 0 |
Answer» D. By equating the Cramer s numerator to 0 | |
8. |
What are the two methods used to find the type of PDEs? |
A. | Lagrangian Method and Eulerian method |
B. | Cramer s method and Eulerian method |
C. | Cramer s method and Lagrangian Method |
D. | Cramer s method and Eigenvalue method |
Answer» E. | |