MCQOPTIONS
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This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Finite Element Method knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Considering the problem of (linear) bending of beams according to the Euler-Bernoulli beam theory, if the beam is in equilibrium, then solving the equations governing the equilibrium of the Euler-Bernoulli beam is equivalent to minimizing the total potential energy. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
Which statement is not true regarding the variables present in the viscous ow problems? |
| A. | Velocity components are zero on xed walls |
| B. | Shear stress is zero along the line of symmetry |
| C. | Vertical velocity component v<sub>y</sub> and horizontal stress t<sub>x</sub> must be zero along the horizontal line of symmetry |
| D. | Shear stress is non zero along the line of symmetry |
| Answer» E. | |
| 3. |
In the formulation of the finite element model for fluids flows, which option is not correct about the penalty formulation? |
| A. | The continuity equation is an additional relation among the velocity components |
| B. | The constraint is satisfied in an approximate sense |
| C. | Uses the penalty function method |
| D. | Involves natural and direct formulation of momentum and continuity equations |
| Answer» E. | |
| 4. |
If a finite element model involves the natural and direct formulation of momentum and continuity equations, then it is known as the velocity-pressure formulation or mixed formulation. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 5. |
The following equation represents the momentum equation for a fluid flow that is approximated by a two-dimensional model. What does k stand for? ( frac{ partial v_x}{ partial t}- frac{ partial}{ partial x}(2k frac{ partial v_x}{ partial x})- frac{ partial}{ partial y}[k( frac{ partial v_x}{ partial y}+ frac{ partial v_y}{ partial x})]+ frac{ partial P}{ partial x} )-fx=0 |
| A. | Thermal conductivity |
| B. | Fluid viscosity |
| C. | Density |
| D. | Pressure |
| Answer» C. Density | |
| 6. |
For fluid flows obeying conservation of mass, what is the value of k if v=4x+ky denotes the velocity at any point in the flow? |
| A. | -4 |
| B. | 4 |
| C. | -2 |
| D. | 2 |
| Answer» B. 4 | |
| 7. |
In mathematical modeling, for which option, a fluid flow can be approximated by a two-dimensional model? |
| A. | One of the dimensions is very small, and there is some flow along with it |
| B. | One of the dimensions is very long, and there is no flow along with it |
| C. | One of the dimensions is very long, and there is some flow along with it |
| D. | The velocity components in two directions vary along the third direction |
| Answer» C. One of the dimensions is very long, and there is some flow along with it | |
| 8. |
For fluid flows, which expression does not characterize the slow flow of a viscous and incompressible fluid in a closed domain? |
| A. | v. v=0 |
| B. | 0 |
| C. | =0 |
| D. | =0 |
| Answer» E. | |