Ansys FEA Study Set
B) Temperature can vary in the y-direction but not in x and z directions.
In the coordinate system we have selected, temperature varies only in the x direction i.e. T=T(x) -
(correct Answer) - Big Ideas in Finite-Element Analysis (FEA): Introduction
Which of the following assumptions is NOT made in our simple heat conduction example?
A) Temperature at any point does not vary with time
B) Temperature can vary in the y-direction but not in x and z directions.
C) Temperature is constant on any cross-section
B) False
To calculate the net flow out, one needs to calculate:
Heat flowing out - Heat flowing in:
(qy+dqydyΔy−qy)
And qy=−kdTdyΔxΔz
Then, the net heat flow out would be −kd2Tdy2ΔxΔyΔz - (correct Answer) - Governing Equation
Derivation
Consider extending the above derivation to account for heat conduction in the y direction also. The net
heat flow out through the faces due to heat conduction in the y direction would be equal to −kdTdyΔxΔz
A) True
B) False
, A) True
This is the definition of a boundary value problem. - (correct Answer) - Mathematical Model Summary
A boundary value problem consists of differential equation(s) defined within a domain and boundary
conditions defined at the edges of the domain.
A) True
B) False
6
With 5 elements, we have a total of 6 nodes. We need to obtain the temperature at each of these 6
nodes.
Increasing the number of elements is referred to as mesh refinement. - (correct Answer) - Discretization
In the above example, we divided the domain into 3 elements. By doing so, we reduce the problem to
determining a finite number of temperature values. Later, we will see how to obtain these values from
governing equations and/or boundary conditions. For now, answer the following question based on the
concepts covered in the above video.
Let's consider the case when we increase the number of elements to 5. How many temperature values
will we need to obtain to determine the variation of temperature along the line?
A) FALSE: Each algebraic equation will relate the temperature at a node to the temperature at
NEIGHBORING nodes only.
B)TRUE: The assumed polynomial variation within each element is the basis for deriving the algebraic
equations.
C)TRUE: This can be done through interpolation of nodal temperature values in the post-processing step.
The assumed polynomial variation within each element that is used for deriving the algebraic equations
is also used for post-processing. - (correct Answer) - How to Find Nodal Temperatures
Select the false statement.
B) Temperature can vary in the y-direction but not in x and z directions.
In the coordinate system we have selected, temperature varies only in the x direction i.e. T=T(x) -
(correct Answer) - Big Ideas in Finite-Element Analysis (FEA): Introduction
Which of the following assumptions is NOT made in our simple heat conduction example?
A) Temperature at any point does not vary with time
B) Temperature can vary in the y-direction but not in x and z directions.
C) Temperature is constant on any cross-section
B) False
To calculate the net flow out, one needs to calculate:
Heat flowing out - Heat flowing in:
(qy+dqydyΔy−qy)
And qy=−kdTdyΔxΔz
Then, the net heat flow out would be −kd2Tdy2ΔxΔyΔz - (correct Answer) - Governing Equation
Derivation
Consider extending the above derivation to account for heat conduction in the y direction also. The net
heat flow out through the faces due to heat conduction in the y direction would be equal to −kdTdyΔxΔz
A) True
B) False
, A) True
This is the definition of a boundary value problem. - (correct Answer) - Mathematical Model Summary
A boundary value problem consists of differential equation(s) defined within a domain and boundary
conditions defined at the edges of the domain.
A) True
B) False
6
With 5 elements, we have a total of 6 nodes. We need to obtain the temperature at each of these 6
nodes.
Increasing the number of elements is referred to as mesh refinement. - (correct Answer) - Discretization
In the above example, we divided the domain into 3 elements. By doing so, we reduce the problem to
determining a finite number of temperature values. Later, we will see how to obtain these values from
governing equations and/or boundary conditions. For now, answer the following question based on the
concepts covered in the above video.
Let's consider the case when we increase the number of elements to 5. How many temperature values
will we need to obtain to determine the variation of temperature along the line?
A) FALSE: Each algebraic equation will relate the temperature at a node to the temperature at
NEIGHBORING nodes only.
B)TRUE: The assumed polynomial variation within each element is the basis for deriving the algebraic
equations.
C)TRUE: This can be done through interpolation of nodal temperature values in the post-processing step.
The assumed polynomial variation within each element that is used for deriving the algebraic equations
is also used for post-processing. - (correct Answer) - How to Find Nodal Temperatures
Select the false statement.
