Introduction:
In
this example you will learn to model a composite material and analyze
one dimensional conduction properties. Using ANSYS will allow you to
output the temperature distribution in an extremely simple and accurate
way.
Problem
Description:
·
We are
modeling heat transfer in a block with a gap filled with different
gases.
·
All
units are S.I.
·
Boundary Conditions:
1) The
left side of the block has a constant temperature of 400 K.
2) The right side of the block has convection (h=20 W/m-K ;
T= 300 K)
3) The Al
section generates heat at a rate of 200 W/m3
4) The He
section absorbs heat at a rate of 175 W/m3
·
Material Properties:
Aluminum(1st layer):
KAl
= 235 W/m*K
Helium(2nd layer): KHe
= 0.1513 W/m*K
Copper(3rd
layer):
KCu = 400 W/m*K
·
Dimensions
Length = 3 m
Width = 3 m
Thickness of each Layer = 1 m
·
Objective:
Find the nodal temperature distribution and the rate of heat loss from
the furnace.
·
Figure:

Basic
Outline of the Problem:
Preprocessing:
1.
Start ANSYS.
2. Create areas
through keypoints.
3. Define the
material properties.
4. Define element
type. (Quad 8node 77 element,
which is a 2-D element for heat transfer
analysis.)
5.
Specify meshing controls / Mesh the areas to create nodes and elements.
Solution:
6.
Specify boundary conditions.
7.
Solve.
Postprocessing:
8.
List the results of the temperature distribution.
9. Plot the results
of the temperature distribution.
Exit:
10.
Exit the ANSYS program, saving all data.
Starting
ANSYS:
·
Click
on
ANSYS
6.1
in the
programs menu.
·
Select
Interactive.
·
The
following menu comes up. Enter the working directory. All your files
will be stored in this directory. Also under
Use
Default Memory Model
make
sure the values
64
for Total Workspace, and
32
for Database are entered. To change these values unclick
Use
Default Memory Model.

·
Click
RUN
Modeling
the Structure:
·
Go to
the ANSYS Utility Menu (the top bar). Click
Workplane>WP
Settings…
·
The
following widow comes up: (notice the numbers are different)

·
Check
the Cartesian and
Grid Only buttons
·
Enter
the values shown in the figure above. Click OK
·
Go to
the ANSYS Utility Menu (the top bar). Click
Workplane>Display
Working Plane.
This will display the
working grid on the workspace.
·
Use
Utility
Menu>PlotCtrls>Pan Zoom Rotate
to
display the grid as shown in the next step below.
·
Next,
go to the ANSYS Main Menu (on the left hand side of the screen) and
click
Preprocessor>Modeling>Create>Keypoints>On
Working Plane.
·
The
following window comes up:

·
Click
on the working plane below to select the points (they follow the
dimensions explained in the beginning, (1m x 3m). After setting the
workplane settings in the beginning, you
should be aware that each line on the plane equals to 1m. When done,
click OK.

·
Now you
have created the points to make the block.
·
Now
select
Preprocessor>Modeling>Create>Areas>Arbitrary>Through
KPs. A window will now appear on
the left of the screen.
·
Select
the points that form the 1st section. Click
Apply such that it is formed
separate from the other two areas.
·
Repeat
the step of selecting the KPs that make up
each area, and clicking Apply
until all three layers are defined. (Click OK for the last one)
·
The
model should look like this now: (note, you have a black background)

Material
Properties:
·
Now
that we have built the model, material properties need to be defined
such that ANSYS understands how heat travels through this composite
solid.
·
Go to
the ANSYS Main Menu
·
Select
Preferences. We will set up the drop menus only to include thermal
tasks, to make everything easy to navigate.

·
Select
Thermal and hit ok. Now you are ready.
·
Click
Preprocessor>Material Props>Material Models.
·
The
pop-up window will now look like this:

·
In the
window that comes up, select Material>New Material

·
Hit OK.
Repeat the process for the third material. (repeat the last step once
more)
·
Choose
Thermal>Conductivity>Isotropic.
·
The
following window comes up:

·
Fill in
235
for
Thermal conductivity. Click
OK.
This is the Thermal Conductivity of Al.
·
Now
repeat the steps of clicking
Thermal>Conductivity>Isotropic
and then defining the Thermal Conductivity as 0.1513 for the
Model 2.
·
You
have now defined the k value of Helium.
·
Define
the last section and this time use K = 400. This is the Thermal
Conductivity of Copper.
·
Now
exit the “Define Material Model Behavior” Window.
Element
Properties:
·
Now
that we’ve defined what material ANSYS will be analyzing, we have
to define how ANSYS should analyze our block.
·
Click
Preprocessor>Element Type>Add/Edit/Delete...
In the 'Element Types' window that opens click on Add...
The following window opens:

·
Type
1 in the Element Type reference number.
·
Click
on Thermal Mass>Solid and select Quad 8node 77. Click
OK.
Close the 'Element Types' window.
·
Now we
have selected Element Type 1 to be a Thermal Solid 8node
Element.
·
This
finishes the section defining how the part is to be analyzed.
Meshing:
·
This
section is responsible for telling ANSYS how to divide the block such
that it has enough nodes, or points, to produce accurate results.
·
Go to
Preprocessor>Meshing>Size Controls>Manual Size>Lines>All Lines.
In the menu that comes up type 0.05 in the field for Element
edge length and 1 for the Spacing Ratio.

·
Click
on
OK.
Now when you mesh the figure ANSYS will automatically create square
meshes that have an edge length of 0.05m along the lines you
selected.
·
Now go
to
Preprocessor>Meshing>Mesh Attributes>Default Attributes.
The window is shown below:

·
Make
sure that the window matches the one above, click OK, and proceed
to
Preprocessor>Meshing>Mesh>Areas>Free
·
A popup
window will appear on the left hand side of the screen. This window
allows you to select the area to be meshed.
·
Choose
the 1st area and then click
OK
in the pop-up window. This both meshes the area and defines it as
Material 1. Material 1 (as you recall from before) was set to
Aluminum originally by defining the k value of the material as
235 W/m*K.
·
Now
return to
Preprocessor>Meshing>Mesh Attributes>Default Attributes.
This time, select Material Number 2 from the dropdown menu and
click OK.
·
Once
the pop-up window appears, select the middle layer and click OK.
·
Repeat
this process of defining each layer as a different material for
Material 3 and mesh it so that all three layers have been meshed.
·
The
block should now look like this when you are done meshing: (if you
choose fit in the pan zoom rotate dialog)

Boundary
Conditions and Constraints:
·
Now
that we have modeled the block and defined how ANSYS is to analyze the
block we will apply the appropriate Boundary Conditions. ANSYS refers
to all Boundary Conditions under the Loads category, so remember that
when looking for commands within the main menu…
·
Go to
Preprocessor>Loads>Define Loads>Apply>Thermal
(from here one can apply any of the loads, or Boundary Conditions,
offered by ANSYS.)
Apply
Constant Temperature
·
Now
we’ll apply the given temperature boundary condition on the right side
of the block.
·
This
time, within the Thermal Load category select
Temperature>On Lines.
·
A popup
window will appear on the left hand side of the screen. This window
allows you to select the line you wish the load to be applied to.
·
Click
the innermost boundary of the block and then
OK.
·
Enter
400 in the popup window as the set temperature for the left edge
of the first section:

Apply
Convection
·
Now we
will apply convection to the right side of the composite block. Select
Convection>On Lines
·
A popup
dialog will appear. Select the correct line and hit OK.

·
Enter
the appropriate values and hit OK.
Apply
Heat Generation and Heat Absorption
·
The
next step is to add heat generation to the composite block.
·
Choose
Heat Generat>On
Areas

·
Enter
200 W/m3 for the generation and the hit ok.
·
Repeat
this step for the second area but input -175
W/m3 to imply absorption.
·
Once
that is complete, the block should look like this:

Solution:
·
Go to
ANSYS
Main
Menu>Solution>Analysis Type>New Analysis.
·
Select
Steady
State
and click on
OK.
·
Go to
Solution>Solve>Current LS.
·
Wait
for ANSYS to solve the problem.
·
Click
on
OK
and close the 'Information' window.
Post-Processing:
·
This
section is designed so that one can present the results of their
analysis in the most appropriate way. This presentation can be in the
form of tabulated nodal values, curves, etc.
·
Go to
the ANSYS Main Menu. Click
General
Postprocessing>List Results>Nodal Solution.
The following window will come up:
·

·
Select
DOF
solution
and
Temperature.
Click on
OK.
The nodal temperatures will be listed as follows:

·
Within
this window one can numerically find the maximum and minimum value of
the temperature within the block. Note that you may have nodes in
different places. Therefore your first displayed temperatures might not
be the same as the ones shown above. If you scroll down you should find
everything.
Modification / Plotting the Results:
·
The
last section displayed the numerical results, but some people prefer a
plot presentation of the temperatures on the block over the numerical
results. This is how you go about doing that…
·
First
go to
General Postprocessing>Plot Results>Contour
Plot>Nodal Solution. The following
window will come up:

·
Select
DOF
solution
and
Temperature
to be plotted and click
OK.
The output will be like this:

·
This is
the Final Solution
·
To find
extra information on Saving an ANSYS model see the Appendix on the ANSYS
tutorial mainpage.
Saving Projects
·
Simply
go to Utility Menu>File>Save As…
and save the project using the desired filename. To open the file
later, run Interactive (the first thing explained in this tutorial) as
usual, and when that is done, go to Utility
Menu>File>Resume From… and choose the saved job from the
directory it is saved in.