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Panel

Author: John Singleton, Cornell University

Problem Specification
1. Pre-Analysis & Start-Up
2. Geometry
3. Mesh
4. Setup (Physics)
5. Solution
6. Results
7. Verification and Validation
Exercises

6. Results

Temperature

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https://confluence.cornell.edu/download/attachments/146918520/UnrefTemp_Full.PNG

Total Heat Flux

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https://confluence.cornell.edu/download/attachments/146918520/UnrefTotalHeatFlux_Full.PNG

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2D Steady Conduction - Panel
2D Steady Conduction - Panel

Numerical ResultsImage Added

Temperature Contours

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 <iframe width="640" height="360" src="https://www.youtube.com/embed/LZRNtWlTZH4" frameborder="0" allowfullscreen></iframe>

Check your Understanding

Consider the following steps: 
1. Invert the stiffness matrix to determine the nodal temperature values.

2. Plot the temperature contours using nodal temperature values.
Steps 1 and 2 take the same amount of time.
Step 1 takes a longer time than step 2.
Step 1 takes a shorter time than step 2.

 

(To see the answer, go to the 2D Conduction section of Module 1 in

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Linkhttps://courses.edx.org/courses/course-v1:CornellX+ENGR2000X+1T2017/course/
our free online course on ANSYS simulations.
You need to sign in to edX.org to access the course.)

 

Heat Flux Vectors

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 <iframe width="640" height="360" src="https://www.youtube.com/embed/xu1SeTmhhJk" frameborder="0" allowfullscreen></iframe>

Probe Temperature

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 <iframe width="640" height="360" src="https://www.youtube.com/embed/TRF5amR7Twc" frameborder="0" allowfullscreen></iframe>

Temperature Along a Line

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 <iframe width="640" height="360" src="https://www.youtube.com/embed/CiFeDWjfjcM" frameborder="0" allowfullscreen></iframe>

 


Go to Step 7: Verification & Validation

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https://confluence.cornell.edu/download/attachments/146918520/DirHeatFluxVec_Full.png

X Direction Heat Flux

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https://confluence.cornell.edu/download/attachments/146918520/UnrefDirectHeatFluxXX_Full.PNG
Note

ISTEC Conference Attendees please skip to Verification and Validation step

Temperature along Y=1m line

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https://confluence.cornell.edu/download/attachments/146918520/InsConstructGeomFull.PNG

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https://confluence.cornell.edu/download/attachments/146918520/InsertPath_Full.PNG

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https://confluence.cornell.edu/download/attachments/146918520/PathDet_Full.PNG

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https://confluence.cornell.edu/download/attachments/146918520/DetTemp2_Full.PNG

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https://confluence.cornell.edu/download/attachments/146918520/PathTempResults_Full.PNG

Directional Heat Flux along Y=0m line

Now we are interested in calculating the heat flux through the bottom boundary.  First, construct a path, following steps similar to those above, but with the start and end points at the bottom corners of the surface. (Right Click) Model > Insert > Construction Geometry.  Next, (Right Click) Construction Geometry > Insert > Path. Then, set Number of Sampling Points to 200, set Start X Coordinate to 0, set Start Y Coordinate to 0, set End X Coordinate to 1, and set End Y Coordinate to 0 as shown below.

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https://confluence.cornell.edu/download/attachments/146918520/PathDet_Full.PNG

Similar to the Temperature inserted along the first path, now insert Directional Heat Flux results along Path 2. (Right Click) Solution > Insert > Thermal > Directional Heat Flux. Choose Path for the Scoping Method, set Path 2 for the Path and Y axis for Orientation, as seen below.

Image Removed

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Now,(Click) SolveImage Removed, and ANSYS will find the Directional Heat Flux on the line y=0m as a function of x position.  We would like to find the Total Heat Flux through the bottom, and to do this we will export the data to MATLAB.  To do so, right click in the tabular data displayed in the lower righthand corner of the screen.  Select all (Ctrl+A), right-click and select Export.  Save the file as "qy_bot.txt" in your MATLAB working directory.

Next, open MATLAB and use the following code to integrate along the path:

clear all; clc;
qy_bot = dlmread('qy_bot.txt', '', 'B2..C50');
qy_bot_tot = trapz(qy_bot(:,1),qy_bot(:,2));

The dlmread function is used to read the data from the text file, while the trapz function performs numerical integration using trapezoids.  The variable 'qy_bot_tot' calculated in MATLAB represents the total dimensionless heat flux through the bottom, y=0 line.

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