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This section includes 13 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. |
Consider a system where a wall of a tank containing a hot liquid at a temperature T0, with an air stream of temperature T∞ flows on the outside of the tank, maintaining the outside wall temperature of TL. What is the expression for boundary condition of the system? |
A. | q=h(TL-T∞) |
B. | T=T∞ |
C. | T=TL |
D. | TL-T∞ |
Answer» B. T=T∞ | |
2. |
In a Heat Transfer problem, which option is used for interpolation of temperature inside a finite element? |
A. | Natural coordinates |
B. | Global coordinates |
C. | Temperature gradients |
D. | Shape functions |
Answer» E. | |
3. |
A river flows along node 1 through node 4, infiltrating an aquifer at constant rate of 5(m3/day*m2). The length of elements is 0.2m. What is the value of global force due to infiltration of the river at node 1? |
A. | 0.5 |
B. | 1.0 |
C. | 1.5 |
D. | 2.0 |
Answer» B. 1.0 | |
4. |
For a two dimensional problem, the evaluation of boundary integrals amounts to evaluation of line integrals. |
A. | True |
B. | False |
Answer» B. False | |
5. |
The velocity field of a fluid flow is denoted by v=2xi+3j. Which option exactly describes the flow? |
A. | Ideal |
B. | Compressible |
C. | Irrational |
D. | Inviscid |
Answer» C. Irrational | |
6. |
What is the value of T at node 3 if the length of each element is 1/a units?a) 0.5*bb) bc) 2*bd) b*cos( |
A. | 0.5*b |
B. | b |
C. | 2*b |
D. | b*cos(a) |
Answer» B. b | |
7. |
If q denotes the amount of heat flow through any boundary then what is the value of q at node7? |
A. | Dependent on a,b |
B. | =0 |
C. | >0 |
D. | <0 |
Answer» C. >0 | |
8. |
Heat conduction problem over a rectangular domain is shown in figure. Which nodes have temperature value of zero units? |
A. | Only1 |
B. | Only 7 |
C. | Only 2 and 3 |
D. | 1, 2 and 3 |
Answer» E. | |
9. |
In a steady state heat conduction problem with a thermal conductivity of 22(W/(m*K)), for a typical element of mesh of linear triangular elements, what is the value of a in stiffness matrix,K=a*\(\begin{pmatrix}1&-1&0\\-1 & 2 & -1\\0 & -1 & 1\end{pmatrix}\)? |
A. | 11 |
B. | 12 |
C. | 10 |
D. | 5.5 |
Answer» B. 12 | |
10. |
In the below equation for steady-state heat transfer in plane systems, what does β stands for?\(k_x\frac{\partial T}{\partial x}n_x+k_y\frac{\partial T}{\partial y}n_y\)+β(T-T∞)=\(\hat{q}\)n |
A. | Convective heat transfer coefficient |
B. | Thermal expansion |
C. | Thermal conductivity |
D. | Diffusivity |
Answer» B. Thermal expansion | |
11. |
For a convective boundary, the natural boundary condition is a balance of energy transfer across the boundary due to conduction and/or convection. |
A. | True |
B. | False |
Answer» B. False | |
12. |
In steady state heat transfer finite element model [K+H]*{T}={Q}*{P} if convective boundary conditions are neglected then which option is applicable? |
A. | K=0 |
B. | H=0 |
C. | Q=0 |
D. | T=0 |
Answer» C. Q=0 | |
13. |
If the finite element model shown below represents heat conduction in axisymmetric or plane geometries then which option is not true?\(-\frac{\partial}{\partial x}(a_{11}\frac{\partial u}{\partial x}+a_{12}\frac{\partial u}{\partial y})-\frac{\partial}{\partial y}(a_{21}\frac{\partial u}{\partial x}+a_{22}\frac{\partial u}{\partial y})\) +a00u-f=0 |
A. | u is temperature |
B. | a11, a22 are conductivities in x, y directions |
C. | f is internal heat generation |
D. | a00=1 |
Answer» E. | |