Comparison of Two Heat Sink Designs

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Exercise 6 Comparison of Two Heat Sink Designs Objective: Model two competing finned heat sinks. These will be 2D axisymmetric slices. PATRAN 312 Exercises -Version 7.5 6-1

6-2 PATRAN 312 Exercises - Version 7.5

Exercise 6 Comparison of Two Heat Sink Designs Model Description: In this exercise you will model a section of a finned heatsink in order to compare the effect of using different materials. The model is a representative fin section of a compressor cylinder casing. The maximum total heating on the casing interior has been determined. A choice of materials is open; the casing can be either aluminum or 1020 steel. Other than cost the only remaining discriminator is temperature; the interior casing surface must not exceed 212 o F. If both materials keep this surface at or below 212 o F steel will be used otherwise aluminum would be the material of choice. This analysis will determine the material choice. Figure 1: Slice Through Compressor Cylinder Casing Materials: R = 2.00 in. Aluminum: MID = 1 1020 Steel MID = 353 Model this section to simplify boundary conditions Tambient = 80 o F 1.0 in. 3.0 in. 0.30 in. 0.30 in. q/a = 3,400 Btu/hr-ft 2 h =2.0 Btu/hr-ft 2 PATRAN 312 Exercises - Version 7.5 6-3

Open a new database Exercise Overview: Create a new database named exercise_06.db. Set Tolerance to Default, and the Analysis Code to MSC/THERMAL. Create the five surfaces which define the heat sink geometry. Transform the geometry to create the second heat sink. Mesh the surfaces with an IsoMesh. Create an ambient node 999. Equivalence the nodes at the mating surface edges. element properties to the elements using the MID s provided. These are 2D Thermal Axisymmetric elements. temperature, flux and convection boundary conditions. Prepare and submit the model for analysis specifying that it is an Axisymmetric Geometry model, that a units conversion is required, and that the direct solver will be used for analysis. Read the results file and plot results. Check the results against the requirement of 212 o F. Quit MSC/PATRAN. Exercise Procedure: Open a new database 1. Open a new database named exercise_06.db. Within your window environment change directories to a convenient working directory. Run MSC/PATRAN by typing p3 in your xterm window. Next, select File from the Top Menu Bar and select New from the dropdown menu. Assign the name exercise_06.db to the new database by clicking in the New Database Name box and entering exercise_06. Select to create the new database. File New... New Database Name exercise_06 6-4 PATRAN 312 Exercises - Version 7.5

Exercise 6 Comparison of Two Heat Sink Designs MSC/PATRAN will open a Viewport and change various Main Form selections from a ghosted appearance to a bold format. When the New Model Preferences form appears on your screen, set the Tolerance to Default, and the Analysis Code to MSC/THERMAL. Select to close the New Model Preferences form. Tolerance Analysis Code Default MSC/THERMAL 2. Create the five surfaces which define the model geometry. Select the Geometry Applications radio button. Create a surface using the following Action, Object, and Method. Click in the appropriate list boxes to edit the default values and change them to values listed below. Create the heat sink surfaces Geometry Create/Surface/XYZ Vector Coordinate List <1 0.3 0> Origin Coordinates List [2 0 0] Surface 1 will appear in the viewport. As shown below PATRAN 312 Exercises - Version 7.5 6-5

Create the heat sink surfaces Remaining in the Geometry form change the Action, Object, and Method to Transform the existing surface into the required geometry. The Translation Vector entries are easily determined from Figure 1 and are included in the form entries below. Geometry Transform/Surface/Translate Translation Vector <0 0.3 0> Auto Execute Surface List <select Surface 1 in the viewport> Or, use Show Label icon to display labels. Complete the fin by transforming the newly created Surface 2. Note that the Repeat Count is adjusted to 3 to create the full fin length. Geometry Transform/Surface/Translate Translation Vector <1 0 0> Repeat Count 3 Surface List <select Surface 2 in the viewport> The resulting model is shown below. 5 6 7 9 2 3 4 5 2 3 8 10 1 1 4 Y 11 12 Z X 6-6 PATRAN 312 Exercises - Version 7.5

Exercise 6 Comparison of Two Heat Sink Designs 3. Transform the geometry to create the second heat sink. Duplicate the entire heat sink cross section by transforming all the existing surfaces. Note that the Repeat Count is adjusted back to 1 to create the a single copy of the heat sink. The completed geometry is shown below. Create the second heat sink Geometry Transform/Surface/Translate Translation Vector <0 1 0> Repeat Count 1 Surface List <drag a rectangle around all surfaces> The display should now appear as shown below. 17 18 19 21 7 8 9 10 14 15 20 22 6 13 16 5 6 7 9 2 3 4 5 2 3 8 10 1 1 4 Y 23 24 11 12 Z X PATRAN 312 Exercises - Version 7.5 6-7

IsoMesh the surfaces IsoMesh the surfaces 4. Mesh the surfaces with an IsoMesh. Select the Finite Elements Applications radio button. Set the Action, Object, and Type to Create/Mesh/Surface. Accept the Global Edge Length of 0.1 and select all surfaces for inclusion in the Surface List. Finite Elements Create/Mesh/Surface Surface List <drag a rectangle around all surfaces> Use Hide Label Icons to turn off all labels. The display should now appear as shown below. Y Z X 6-8 PATRAN 312 Exercises - Version 7.5

Exercise 6 Comparison of Two Heat Sink Designs 5. Create an ambient node 999. Using the Finite Elements form create a boundary node which is not associated with geometry. The node is numbered 999. Locate the node at [6.2 0.9 0] to the right of and between the two models. Create an ambient node Finite Elements Create/Node/Edit Node ID List 999 Associate with Geometry Node Location List [6.2 0.9 0] Increase the display size of nodes to facilitate the application of boundary condition. Use either Display/Finite Element... or the associated Tool Bar Node Size icon to change the node size. The model should now appear as shown below. Display Finite Element... Node Size 6 Cancel Y Z X PATRAN 312 Exercises - Version 7.5 6-9

Equivalence nodes Equivalence nodes 6. Equivalence the nodes at the mating surface edges. Using the Finite Elements form set the Action/Object/Method to Equivalence/All/Tolerance Cube and select to eliminate duplicate nodes created at geometric entity edges. Finite Elements Equivalence/All/Tolerance Cube element properties 7. element properties to the elements using the two material properties MID s, 1 and 353. In a typical modelling sequence the Materials Application radio button would be the next stop to define a material for application in Element Properties. However, MSC/THERMAL includes a Material Properties Database which contains 970 materials with thermal properties already defined. Use this database to facilitate the analysis. Select the PropertiesApplications radio button. Set the Action, Dimension, and Method to Create/2D/Thermal Axisymmetric. Enter Property Set Name Steel. Select the Input Properties... box. In the Input Properties form, click in the Material Name box and enter 353. Select to close the form.click in the Select Members box and drag a rectangle around the lower model in the viewport. Select Add then in the Element Properties form to complete the element property definition. Properties Create/2D/ Thermal Axisymmetric Property Set Name Input Properties... Steel Material Name 353 Ok Select Members Add <drag a rectangle around the lower heat sink model surfaces> Perform the same steps for upper model using, Aluminum, for the Property Set Name, and 1 for the Material Name. 6-10 PATRAN 312 Exercises - Version 7.5

Exercise 6 Comparison of Two Heat Sink Designs 8. the temperature, convection, and flux boundary conditions to the model. Begin applying boundary conditions. Select the Load/BCs Applications radio button. Create a fixed 80.0 o F nodal boundary named Ambient In the Input Data form define the fixed temperature. In the Select Applications Region form pick node 999. boundary conditions Load/BCs Create/Temperature/Nodal Option: New Set Name Input Data... Fixed Temperature 80.0 Select Application Region... Geometry Filter Fixed Ambient FEM Select Nodes <select node 999> Add Create the heat transfer coefficient boundary conditions with the Use Correlations option, set name Air, and a heat transfer coefficient of 2.0 Btu/ o F-hr-ft 2. the boundary condition to the exposed edges of both finned heat sinks as shown in Figure1. The same boundary condition is applied to both heat sink models. Load/BCs Create/Convection/Element Uniform Option: New Set Name Target Element Type Input Data... Use Correlations Air 2D PATRAN 312 Exercises - Version 7.5 6-11

boundary conditions In the Input Data form provide the heat transfer coefficient and fluid node. Convection Coefficient 2.0 Fluid Node ID 999 Select Application Region... In the Select Applications Region form select the right facing and bottom facing exposed edges of the finned heat sinks. Switch to the Select an Edge icon in the Select Menu form. When selecting the edges the edge chosen will be highlighted. Hold down the <shift> key and use the left mouse button to collect all the edges in the Select Surfaces or Edges box. Geometry Filter Select Menu Geometry Select an Edge icon Select Surfaces or Edges Add <using shift-left mouse button select the edges highlighted in Figure 1 for both heat sink models> Create a set name Flux of 3400 Btu/hr-ft 2. the boundary condition to the left facing edges of both finned heat sinks as shown in Figure1. The same boundary condition is applied to both heat sink models. Load/BCs Create/Heating/Element Uniform Option: New Set Name Target Element Type Input Data... Fluxes Flux 2D Heat Flux 3400 6-12 PATRAN 312 Exercises - Version 7.5

Exercise 6 Comparison of Two Heat Sink Designs In the Select Applications Region form select the left facing exposed edges of the finned heat sinks. Switch to the Select an Edge icon, if necessary, in the Select Menu form. When selecting the edges the edge chosen will be highlighted. Hold down the <shift> key and use the left mouse button to collect all the edges in the Select Surfaces or Edges box. Select Application Region... Geometry Filter Select Menu Geometry Select an Edge icon Select Surfaces or Edges Add <using shift-left mouse button select the edges shown in Figure 1 for both heat sink models> With boundary conditions applied the model should appear as shown below 3400. 3400. 3400. 3400. 3400. 3400. 2.000 2.000 2.000 2.000 2.000 2.000 2.000 2.000 2.000 2.000 80.00 2.000 2.000 999 2.000 2.000 2.000 2.000 Y Z X PATRAN 312 Exercises - Version 7.5 6-13

Prepare and run analysis Prepare and run analysis 9. Prepare and submit the model for analysis. Select the Analysis Applications radio button to prepare the analysis. Select the parameter forms reviewing and changing the settings as shown below. The analysis is submitted by selecting in the Analysis form. Analysis Analyze/Full Model/Full Run Translation Parameters... Model Dimensionality Radial, R Co-ordinate Centerline, Z Co-ordinate Axisymmetric Geometry, R Z Co-ordinates X axis Y axis Perform Geometry Units Conversion From Units To Units File to Extract Undefined Materials: inches feet 3,mpidfph.bin (Btu-feet-lbm.. Solution Type... Solution Parameters... Calculation Temperature Scale Solver Option Fahrenheit 2, Direct Solver Run Control Parameters... Initial Temperature 212.0 Initial Temperature Scale Fahrenheit Output Requests... Units Scale for Output Temperatures Units Definition for Time Label Fahrenheit Hours 6-14 PATRAN 312 Exercises - Version 7.5

Exercise 6 Comparison of Two Heat Sink Designs Submit Options... While waiting for the analysis to finish. Reset Graphics and reduce node size. 10. Read results file and plot results. From within MCS/PATRAN the only indication that the analysis has successfully finished is the existence of an nrx.nrf.01 results file in a subdirectory one level below your working directory. Read and plot results P3 was initiated from a working directory which contained the exercise_06.db database. The analysis created a new subdirectory with the same name as the Job Name; exercise_06/. By using Read Result in the Analysis form and Selecting Results File... you can filter down to the Job Name subdirectory and check for the existence of a results file. Analysis Read Results/Result Entities Select Results File... Directories Filter Available Files Select Rslt Template File... Files <path>/exercise_06 nr0.nrf.01 pthermal_1_nodal.res_tmpl PATRAN 312 Exercises - Version 7.5 6-15

Quit MSC/Patran To plot the results to posted FEM use the Results Application radio button. Results Create/Quick Plot Select Result Cases Select Fringe Result TIME: 0.0000000000D+00 S... Temperature, Select the Fringe Attributes icon. Display: Label Style... Label Format: Significant figures Element Edges Fixed 4 <use slider bar> The model should now appear as shown on the front panel of this exercise. Which material will be chosen for the cylinder casing? Quit MSC/ Patran 11. Quit MSC/PATRAN To stop MSC/PATRAN select File on the Top Menu Bar and select Quit from the drop-down menu. 6-16 PATRAN 312 Exercises - Version 7.5