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This section includes 12 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 a quasi-linear partial differential equation? |
A. | \(\frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}=0\) |
B. | \(\frac{\partial^2 u}{\partial x^2}+a(x,y)\frac{\partial^2 u}{\partial y^2}=0\) |
C. | \(\frac{\partial u}{\partial x}\frac{\partial ^2 u}{\partial x^2}+\frac{\partial u}{\partial y}\frac{\partial^2 u}{\partial y^2}=0\) |
D. | \((\frac{\partial ^2 u}{\partial x^2})^2+\frac{\partial^2 u}{\partial y^2}=0\) |
Answer» D. \((\frac{\partial ^2 u}{\partial x^2})^2+\frac{\partial^2 u}{\partial y^2}=0\) | |
2. |
The governing equations of CFD are ____________ partial differential equations. |
A. | Linear |
B. | Quasi-linear |
C. | Non-linear |
D. | Non-homogeneous |
Answer» C. Non-linear | |
3. |
Linear partial differential equations are reduced to ordinary differential equations in which of these methods? |
A. | Change of variables |
B. | Fundamental equations |
C. | Superposition principle |
D. | Separation of variables |
Answer» E. | |
4. |
Which of these is not an analytical method to solve partial differential equations? |
A. | Change of variables |
B. | Superposition principle |
C. | Finite Element method |
D. | Integral transform |
Answer» D. Integral transform | |
5. |
Which of these does not come under partial differential equations? |
A. | Laplace’s equation |
B. | Equations of motion |
C. | 1-D wave equation |
D. | Heat equation |
Answer» C. 1-D wave equation | |
6. |
The y-momentum equation falls into which of these types of PDEs? |
A. | 1-D first order equation |
B. | 2-D second order equation |
C. | 2-D first order equation |
D. | 1-D first order equation |
Answer» C. 2-D first order equation | |
7. |
Find the order of the continuity equation for steady two-dimensional flow. |
A. | 1 |
B. | 0 |
C. | 2 |
D. | 3 |
Answer» B. 0 | |
8. |
These are essential for solving partial differential equations. |
A. | Boundary conditions |
B. | Physical principle |
C. | Mathematical model |
D. | Algebraic equations |
Answer» B. Physical principle | |
9. |
After discretizing the partial differential equations take which if these forms? |
A. | Exponential equations |
B. | Trigonometric equations |
C. | Logarithmic equations |
D. | Algebraic equations |
Answer» E. | |
10. |
What is the method used in CFD to solve partial differential equations? |
A. | Variable separation |
B. | Method of characteristics |
C. | Change of variables |
D. | Discretization |
Answer» E. | |
11. |
Where do we encounter partial differential equations in CFD? |
A. | Physical models |
B. | Assumptions |
C. | Governing equations |
D. | Discretized equations |
Answer» D. Discretized equations | |
12. |
Which of these models of fluid flow give complete partial differential equations directly? |
A. | Finite control volume moving along with the flow |
B. | Finite control volume fixed in space |
C. | Infinitesimally small fluid element fixed in space |
D. | Infinitesimally small fluid moving along with the flow |
Answer» D. Infinitesimally small fluid moving along with the flow | |