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Introduction:
In this
example you will learn to model a cooling fin for electronics. This
involves heat generation, conduction and convection.
Physical Problem:
All
electronic components generate heat during the course of their
operation. To ensure optimal working of the component, the generated
heat needs to be removed and thus the electronic component be cooled.
This is done by attaching fins to the device which aid in rapid heat
removal to the surroundings.
Problem Description:
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The problem is
equivalent to the previous tutorial. The new concern is 3 dimensional
modeling. |
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The enclosing
container is made of steel with thermal conductivity of 20 W/m K.
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The fins are made
of aluminum with thermal conductivity of 180 W/m K. |
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Units: Use
S.I. units … centimeters ONLY |
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Geometry:
See figure. |
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Boundary conditions:
There is convection along all the boundaries of the fin assembly
except the bottom, which is attached to the steel block. The Film
Coefficient is 50 W/m2K and the Bulk (ambient) Temperature
is 293 K. The block contains a copper rod that generates heat,
totaling 27.2 W. The sides of the steel block are insulated. The
bottom area of the block loses heat totaling 5.44 W. Remember to use
units of W/m3 for heat generation and W/m2 for
heat flux. |
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Objective:
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To determine the
nodal temperature distribution. |
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To determine the
maximum value of temperature in the component. |
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You are required to
hand in print outs for the above. |
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Figure:
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isometric
view
Front
View
IMPORTANT:
Convert
all dimensions and forces into SI units.
Basic
Outline of the Problem:
Preprocessing:
1. Start ANSYS.
2. Create volumes.
3. Copy volumes to
form heat sink fins.
4. Define the
material properties.
5. Define element
type. (Thermal Mass Solid: Brick 8node, which is a 3-D element for heat transfer
analysis.)
6. Specify meshing
controls / Mesh the areas to create nodes and elements.
Solution:
7. Specify boundary
conditions.
8. Solve.
Postprocessing:
9. List the
temperature results.
10. Plot the
temperature distribution.
Exit:
11. Exit the ANSYS
program, saving all data.
STARTING ANSYS
Click
on ANSYS 6.1in the programs menu.
Select
Interactive.
The
following menu that comes up. Enter the working directory. All your
files will be stored in this directory. Also enter 64 for Total
Workspace and 32 for Database. (more if you are working with
extra memory)
Click
on Run.

MODELING THE STRUCTURE
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Go to the ANSYS
Main Menu |
Preprocessor>Modeling>Create>Volumes>Block>By 2Corners and Z.
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The following
window comes up: |

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Enter the following
data values to create the full steel base of the heat generating
volume. |
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Next, we want to
create the fins that will constitute the assembly. If you had hit
APPLY instead of OK, then the window will still be usable. Otherwise,
use Create Volume
by 2 Corner and Z again to create the first fin. |

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Now we want to copy
the fin volume and paste it offset so that it is correctly positioned
along the bottom of the fin assembly. |
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Preprocessor>Modeling>Copy>Volumes
Select the volume to be copied. Next, the following window appears:
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Enter the value for
the offset, which is 0.009m and then click Apply. Note that the
copy volumes dialog box on the left is still open. Simply pick the new
volume and hit apply again. Hit apply in the window that
appears because the offset is still 0.009. Continue until all the fins
are there. If you didn’t hit apply just start from
Modeling>Copy>Volumes. |
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The model should
appear as below so far. |

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Next choose
Preprocessor>Modeling>Operate>Booleans>Add>Volumes.
Choose the fins and bottom of the fin assembly (the thin layer that
extends across the model) Hit OK.
You can also hit PICK ALL |
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Next, create the
base (the electronic component): |
Preprocessor>Modeling>Create>Volumes>By 2 Corner and Z

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Enter the values as
shown. |
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Next, glue the new
completed fin assembly to the base, by using
Preprocessor>Modeling>Operate>Booleans>Glue>Volumes.
Choose the base, and click once on the fin assembly (it should all be
selected as one now, if not try repeating the last step). Hit OK
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Now, create the
volume for the copper heat generating element.
Preprocessor>Modeling>Create>Volumes>Cylinder>Solid Cylinder
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If you
replot volumes, you should see this:

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The last step is to
use
Preprocessor>Modeling>Operate>Booleans>Overlap
and select the copper volume and the steel, click OK. |
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Also, reuse the glue command,
...>Operate>Booleans>Glue>Volumes
to glue the cylinder to the base. |
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The modeling is now
finished. |
MATERIAL PROPERTIES
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We need to define
material properties separately for steel, aluminum, and copper.
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Go to the ANSYS
Main Menu |
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Click
Preprocessor>Material Props>Material Models.
In the window that comes up choose
Thermal>Conductivity>Isotropic.
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Enter 1 for the
Material Property Number and click OK. The following window comes up.
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Fill in 20
for Thermal conductivity. Click OK. |
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Now
the material 1 has the properties defined in the above table. This
represents the material properties for steel. Repeat the above
steps to create material properties for aluminum (k=180,
Material number 2), and copper (k=386, Material number 3). Do
this by selecting
Material>New Model
in the “Define
Material Model Behavior” window. Once finished, exit the material
model window. |
ELEMENT PROPERTIES
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SELECTING ELEMENT
TYPE: |
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Click
Preprocessor>Element Type>Add/Edit/Delete...
In the 'Element Types' window that opens click on Add... The following
window opens. |

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Type 1 in
the Element type reference number. |
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Click on Thermal
Mass Solid and select Brick
8node 70. Click OK. Close the 'Element types' window. |
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So now we have
selected Element type 1 to be a thermal solid 8node element. The
component will now be modeled with thermal solid 8node elements. This
finishes the selection of element type. |
MESHING
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DIVIDING THE TOWER
INTO ELEMENTS: |
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Go to
Preprocessor>Meshing>Size Controls>Manual Size>Lines>All
Lines.
In the menu that comes up type 10 in the field for 'No. of
element divisions'. |

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Click on OK. Now
when you mesh the figure ANSYS will automatically create meshes that
have at least ten elements along each line regardless of how long each
line is! |
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First we will mesh
the steel volume. Go to
Preprocessor>Meshing>Mesh Attributes>Default Attributes.
Make sure the window indicates "Material Ref.#1".
The window is shown below. |

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Now go to
Preprocessor>Meshing>Mesh>Volumes>Free.
Pick the steel area and click OK. |
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After you mesh the
first section, the plot function of ANSYS may only display that meshed
solid. To reveal the other solids, use
Utility Menu>Plot>Volumes.
Even though the already meshed area appears like it did originally, it
is STILL meshed! Continue to the next steps. |
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Repeat the same
process for the aluminum and copper areas. However, change two things: |
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For the Aluminum fin assembly, change the
mess size on the lines to .01 cm per element: |

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And for Copper, use 15 element
division's per line |

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Make sure you use
the correct material number (2 and 3 respectively) for both the
volumes. Also since the steel and the copper areas overlap make sure
you pick the right volume. If you choose the wrong one, use
Preprocessor>Meshing>Clear
to undo the previous mesh and then repeat the previous steps. The
meshed area should look like this. Another tip for selecting the right
one: Pick more than what you want, then hit the right mouse button
(alternate select) and then unselect the volumes you don't want. This
appears to be more effective than just trying to get the correct
volumes initially. |

ISOMETRIC

FRONT
BOUNDARY CONDITIONS AND
CONSTRAINTS
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Go to
Preprocessor>Loads>Define Loads>Apply>Thermal>Heat Generate>On Volume.
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Select the copper
rod volume. Click OK. |
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Since the volume of
the rod is 9.19e-6 and
the total Q = 27.2 W, heat generation is 2.96MW/m3
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The following
window comes up. Enter this datum. |

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Next, we apply the
convective boundary conditions. |
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Go to Preprocessor>Loads>Define
Loads>Apply>Thermal>Convection>On Areas.
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In ISO viewing
mode, pick the areas that are clearly visible and don’t try to pick
them all at once.
Make notes in a text file or use a piece of scrap paper if you want to
keep track of what you have selected already (such as fins, front,
iso or fins, top iso
and so on) Click OK. The following window comes up. |
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Just remember that
you want to select the aluminum assembly areas, which mean the fins
sticking out and the thin bottom of the aluminum assembly. Remember
not to pick the bottom side of it too..
because that section is exposed to heat,
not convection. And do NOT select the sides of the steel block! They
are insulated. |
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For each convection
… apply the following values: |

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Enter 50 for
"Film Coefficient" and 293 for "Bulk Temperature" and click OK.
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Now the Modeling of
the problem is done. |
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Now add heat loss
through the bottom of the model, which has a surface area of .007224m2
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Given that the heat
lost from the base is 5.44 W, the heat flux will be -753.045 W/m2
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Do this by
Preprocessor>Loads>Define Loads>Apply>Thermal>Heat Flux>On Areas
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Choose the bottom
area (try pan zoom rotate again) and then enter the value of flux as
shown below. |

The
modeling is finished.
SOLUTION
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Go to ANSYS
Main Menu>Solution>Analysis Type>New Analysis.
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Select Steady
State and click on OK. |
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Go to
Solution>Solve>Current LS.
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An error window may
appear. Click OK on that window and ignore it. |
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Wait for ANSYS to
solve the problem. |
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Click on OK and
close the 'Information' window. |
POST-PROCESSING
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Listing the
results. |
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Go to ANSYS Main
Menu
General Postprocessing>List Results>Nodal
Solution.
The following window will come up. |

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Select DOF
solution and Temperature. Click on OK. The nodal
displacements will be listed as follows. |

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You will find the
maximum value of temperature at the end of the above table.
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MODIFICATION
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You can also plot
the displacements and stress. |
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Go to
General Postprocessing>Plot
Results>Contour Plot>Nodal Solution.
The following window will come up: |

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Select DOF
solution and Temperature to be plotted and click OK. The
output will be like this:
(playing with Pan
Zoom Rotate) |
FRONT
VIEW

ISO
VIEW

Right
side view

Saving Projects
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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. |
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