Explore topic-wise MCQs in Finite Element Method.

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.