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}

n1&-1&0 -1 & 2 & -1 0 & -1 & 1 end{pmatrix} )?

In the below equation for steady-state heat transfer in plane systems, what does stands for? (k_x frac{ partial T}{ partial x}n_x+k_y frac{ partial T}{ partial y}n_y )+ (T-T )= ( hat{q} )n

Convective heat transfer coefficient

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

a11, a22 are conductivities in x, y directions

Explore topic-wise MCQs in Finite Element Method.

This section includes 9 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

Discussion

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.

Discussion

3.	For a two dimensional problem, the evaluation of boundary integrals amounts to evaluation of line integrals.
A.	True
B.	False
Answer» B. False

Discussion

4.	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

Discussion

5.	In a steady state heat conduction problem with a thermal conductivity of 22(W/(mK)), for a typical element of mesh of linear triangular elements, what is the value of a in stiffness matrix, K=a ( begin{pmatrix}
A.	n1&-1&0 -1 & 2 & -1 0 & -1 & 1 end{pmatrix} )?
B.	11
C.	12
D.	10
E.	5.5
Answer» B. 11

Discussion

6.	In the below equation for steady-state heat transfer in plane systems, what does stands for? (k_x frac{ partial T}{ partial x}n_x+k_y frac{ partial T}{ partial y}n_y )+ (T-T)= ( hat{q} )_n
A.	Convective heat transfer coefficient
B.	Thermal expansion
C.	Thermal conductivity
D.	Diffusivity
Answer» B. Thermal expansion

Discussion

7.	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

Discussion

8.	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

Discussion

9.	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.	a<sub>11</sub>, a<sub>22</sub> are conductivities in x, y directions
C.	f is internal heat generation
D.	a<sub>00</sub>=1
Answer» E.

Discussion

Explore topic-wise MCQs in Finite Element Method.

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?

In a Heat Transfer problem, which option is used for interpolation of temperature inside a finite element?

For a two dimensional problem, the evaluation of boundary integrals amounts to evaluation of line integrals.

The velocity field of a fluid flow is denoted by v=2xi+3j. Which option exactly describes the flow?

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}

In the below equation for steady-state heat transfer in plane systems, what does stands for? (k_x frac{ partial T}{ partial x}n_x+k_y frac{ partial T}{ partial y}n_y )+ (T-T )= ( hat{q} )n

For a convective boundary, the natural boundary condition is a balance of energy transfer across the boundary due to conduction and/or convection.

In steady state heat transfer finite element model [K+H]*{T}={Q}*{P} if convective boundary conditions are neglected then which option is applicable?

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?

In a steady state heat conduction problem with a thermal conductivity of 22(W/(mK)), for a typical element of mesh of linear triangular elements, what is the value of a in stiffness matrix,
K=a ( begin{pmatrix}

In the below equation for steady-state heat transfer in plane systems, what does stands for?
(k_x frac{ partial T}{ partial x}n_x+k_y frac{ partial T}{ partial y}n_y )+ (T-T)= ( hat{q} )_n

In steady state heat transfer finite element model [K+H]{T}={Q}{P} if convective boundary conditions are neglected then which option is applicable?