 
			 
			MCQOPTIONS
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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. | Expand divergence of velocity . ( vec{V} ) for a one-dimensional flow. | 
| A. | ( frac{ partial u}{ partial x}+ frac{ partial v}{ partial y}+ frac{ partial w}{ partial z} ) | 
| B. | ( frac{ partial u}{ partial x} ) | 
| C. | ( frac{du}{dx}+ frac{dv}{dy}+ frac{dw}{dz} ) | 
| D. | ( frac{D vec{V}}{Dt} ) | 
| Answer» C. ( frac{du}{dx}+ frac{dv}{dy}+ frac{dw}{dz} ) | |
| 2. | For infinitesimally small element (with volume V) moving along with the flow with velocity ( vec{V} ), which of these equations represent the divergence of velocity? | 
| A. | ( nabla. vec{V} = frac{1}{ delta V} frac{d( delta V)}{dt} ) | 
| B. | ( nabla. vec{V} = frac{D( delta V)}{dt} ) | 
| C. | ( nabla. vec{V} = frac{1}{ delta V} frac{D( delta V)}{dt} ) | 
| D. | ( nabla. vec{V} = frac{d( delta V)}{dt} ) | 
| Answer» D. ( nabla. vec{V} = frac{d( delta V)}{dt} ) | |
| 3. | Let (( vec{V} Delta t). vec{ds} ) be the change in volume of elemental control volume in time t. Over the same time t, what is the change in volume of the whole control volume V with control surface S? | 
| A. | ( int( vec{V} Delta t). vec{ds} ) | 
| B. | ( vec{V} Delta t ) | 
| C. | ( sum( vec{V} Delta t). vec{ds} ) | 
| D. | ( iint_s( vec{V} Delta t). vec{ds} ) | 
| Answer» E. | |
| 4. | Divergence of velocity appears in the governing equations for _____________ | 
| A. | infinitesimally small elements | 
| B. | stationary models | 
| C. | moving models | 
| D. | finite control volumes | 
| Answer» D. finite control volumes | |
| 5. | What is the physical meaning of divergence of velocity? | 
| A. | Time rate of change of the volume per unit volume | 
| B. | Time rate of change of the volume of a moving fluid element per unit volume | 
| C. | Time rate of change of the volume | 
| D. | Time rate of change of the volume of a moving fluid element | 
| Answer» C. Time rate of change of the volume | |
| 6. | The time rate of change of a control volume moving along with the flow is represented by substantial derivative. Why? | 
| A. | Because the change is substantial | 
| B. | Because the change is more | 
| C. | Because of control volume | 
| D. | Because it is moving with the flow | 
| Answer» E. | |
| 7. | For a control volume moving along with the flow, which of these properties is a constant? | 
| A. | Volume | 
| B. | Shape | 
| C. | Mass | 
| D. | Velocity | 
| Answer» D. Velocity | |
| 8. | In mathematical terms, how can the divergence of a velocity vector (( vec{V}) ) be represented? | 
| A. | ( nabla. vec{V} ) | 
| B. | ( nabla vec{V} ) | 
| C. | ( nabla times vec{V} ) | 
| D. | ( vec{V} times nabla ) | 
| Answer» B. ( nabla vec{V} ) | |