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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 | |