MCQOPTIONS
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MCQOPTIONS
This section includes 11 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. |
The final equation of Reynolds transport theorem can be used to drive ____________ form of the conservation laws in fixed regions. |
| A. | Eucledian |
| B. | Lagrangian |
| C. | Eulerian |
| D. | Cartesian |
| Answer» D. Cartesian | |
| 2. |
Let,V → Control Volumeb → Intensive value of B in any small element of the fluidρ → Density of the flow\(\vec{v}\) → Velocity of fluid entering or leaving the control volumeAfter applying Gauss divergence theorem, how does the term representing ‘net flow of B into and out of the control volume’ look like? |
| A. | \(\int_v \nabla.(\rho \vec{v}b)dV\) b) \(\int_s \nabla.(\rho \vec{v}b)dS\) c) \(\int_v(\rho \vec{v}b)dV\) d) \(\int_s(\rho \vec{v} |
| B. | dV\) b) \(\int_s \nabla.(\rho \vec{v}b)dS\) |
| C. | \(\int_v(\rho \vec{v}b)dV\) |
| D. | \(\int_s(\rho \vec{v}b)dS\) |
| Answer» B. dV\) b) \(\int_s \nabla.(\rho \vec{v}b)dS\) | |
| 3. |
Gauss divergence is applied to which of these terms? |
| A. | Instantaneous total change of B inside the control mass |
| B. | Instantaneous total change of B within the control volume |
| C. | Net flow of B into and out of the control volume |
| D. | Net flow of B into and out of the control mass |
| Answer» D. Net flow of B into and out of the control mass | |
| 4. |
Gauss divergence theorem is used to convert a surface integral to volume integral. This is used in Reynolds Transport theorem. What is the purpose of this conversion? |
| A. | Simplifying the term |
| B. | Differentiating the flow property |
| C. | Adding the flow property |
| D. | Grouping terms related to control volume |
| Answer» E. | |
| 5. |
Let,V → Control VolumeB → Flow propertyb → Intensive value of B in any small element of the fluidρ → Density of the flowt → Instantaneous timeWhich of these terms represent the ‘instantaneous total change of the flow property within the control volume’ after Leibniz rule is applied? |
| A. | \( \frac{d}{dt}(\int_vb \rho dV)\) |
| B. | \( \int_v \frac{\partial}{\partial T}(b \rho)dV\) |
| C. | \(\rho \int_v \frac{\partial b}{\partial T} dV \) |
| D. | \(\rho \int_v \frac{\partial \rho}{\partial b} dV\) |
| Answer» C. \(\rho \int_v \frac{\partial b}{\partial T} dV \) | |
| 6. |
When is Leibniz rule applicable to control volume? |
| A. | When control volume is moving |
| B. | When control volume is deforming |
| C. | When control volume is fixed |
| D. | In all conditions |
| Answer» D. In all conditions | |
| 7. |
Why a surface integral is used to represent flow of B into and out of the control volume? |
| A. | Control volume is moving |
| B. | Flow of fluid is through the control surfaces |
| C. | Fluid only on the control surfaces |
| D. | Control volume is stationary |
| Answer» C. Fluid only on the control surfaces | |
| 8. |
Leibniz rule is applied to which of these terms in deriving Reynolds transport theorem? |
| A. | Volume integral term of control volume |
| B. | Differential term of material volume |
| C. | Surface integral term of control volume |
| D. | Volume integral term of material volume |
| Answer» B. Differential term of material volume | |
| 9. |
Consider the following terms:MV → Material Volume (Control Mass)V → Control VolumeS → Control SurfaceB → Flow propertyb → Intensive value of B in any small element of the fluidρ → Density of the flowt → Instantaneous time\( \vec{v} \) → Velocity of fluid entering or leaving the control volume\( \vec{n} \) → Outward normal vector to control surfaceWhich of these equations is the mathematical representation of Reynolds transport theorem in the above terms? |
| A. | \((\frac{dB}{dt})_{MV} = \frac{d}{dt}(\int_sb \rho dS) + \int_vb \rho \vec{v}.\vec{n} dV\) |
| B. | \((\frac{dB}{dt})_{MV} = \frac{d}{dt}(\int_vb \rho dV) + \int_sb \rho \vec{v}.\vec{n} dS\) |
| C. | \((\frac{dB}{dt})_V = \frac{d}{dt}(\int_{MV}b \rho MV) + \int_sb \rho \vec{v}.\vec{n} dS\) |
| D. | \((\frac{dB}{dt})_{MV} = \int_vb \rho dV + \frac{d}{dt}(\int_sb \rho \vec{v}.\vec{n} dS)\) |
| Answer» C. \((\frac{dB}{dt})_V = \frac{d}{dt}(\int_{MV}b \rho MV) + \int_sb \rho \vec{v}.\vec{n} dS\) | |
| 10. |
Let B denote any property of a fluid flow. The statement of Reynolds transport theorem is “The instantaneous total change of B inside the _____________ is equal to the instantaneous total change of B within the ______________ plus the net flow of B into and out of the _____________” |
| A. | Control volume, Control mass, Control volume |
| B. | Control volume, Control volume, Control mass |
| C. | Control mass, Control mass, Control volume |
| D. | Control mass, Control volume, Control volume |
| Answer» E. | |
| 11. |
The Reynolds transport theorem establishes a relationship between __________ and ___________ |
| A. | Control mass system, Control volume system |
| B. | Differential equation, Integral equation |
| C. | Non-conservative equation, Conservative equation |
| D. | Substantial derivative, Local derivative |
| Answer» B. Differential equation, Integral equation | |