Thermal #1: Temperature 
        distribution in a fin cooled electronic component
        
         
        
        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:
        
        
         
        
          |  | 
          For the sake of 
          simplicity we assume that the electronic circuit is made of copper 
          with thermal conductivity of 386 W/m K. Also it generates heat at the 
          rate of 10e6 W.  | 
          |  | 
          The enclosing 
          container is made of steel with thermal conductivity of 20 W/m K.
           | 
          |  | 
          The fins are made 
          of aluminum with thermal conductivity of 180 W/m K.  | 
          |  | 
          Units: Use
          S.I. units ONLY  | 
          |  | 
          Geometry: 
          See figure.  | 
          |  | 
          Boundary conditions: 
          There is convection along all the boundaries except the bottom, which 
          is insulated. The Film Coefficient is 50 W/m2K and the Bulk 
          Temperature is 20oC.  | 
          |  | 
          Objective:
          
           
            |  | 
            To determine the 
            nodal temperature distribution.  |  |  | 
            To determine the 
            maximum value of temperature in the component.  |  | 
          |  | 
          You are required to 
          hand in print outs for the above.  | 
          |  | 
          Figure:
           | 
        
        
         
        
        
        
         
        
        
        IMPORTANT: 
        Convert 
        all dimensions and forces into SI units.
        
         
        
        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.
        
        
        Click 
        on Run.
        
         
        
        
                   
        
         
        
        MODELING THE STRUCTURE
        
         
        
          |  | 
          Go to the ANSYS 
          Utility Menu. 
           
            |  | 
            Click 
            
            
            Workplane>WP 
            Settings.
             |  |  | 
            The following 
            window comes up  |  | 
        
        
         
        
        
        
         
        
          |  | 
          Check the 
          Cartesian and Grid Only buttons.  | 
          |  | 
          Enter the values 
          shown in the figure below.  | 
        
        
         
        
          |  | 
          Go to the ANSYS 
          Main Menu 
          
          Preprocessor>Modeling>Create>Areas>Rectangle>2 Corners.
           | 
          |  | 
          The following 
          window comes up:  | 
        
        
         
        
         
        
         
        
        
        
         
        
          |  | 
          Now we will pick 
          the end points of the rectangles.  | 
          |  | 
          First make the 
          steel rectangle of dimensions 5cm X 3 cm, i.e. 5 units by 3 units on 
          the grid.  | 
          |  | 
          Next make the 
          copper square of dimensions 1cm X 1cm.  | 
          |  | 
          Next make the 
          aluminum part by making a rectangle of dimensions 5cm X 2cm and then 
          creating two smaller rectangles, which can then be subtracted from the 
          main part to make the fins.  | 
          |  | 
          From Preprocessor, 
          choose 
          
          Modeling>Operate>Boolean>Overlap>Areas.  
          Choose the Steel area and then the Copper area, 
          then click OK.  | 
          |  | 
          From Preprocessor, 
          choose 
          
          Modeling>Operate>Boolean>Glue>Areas.  
          Choose the Steel area and then the Aluminum area, and then click OK.  
          The reason why we don’t glue the copper and the steel is that they 
          overlap. Picture a copper plate resting on the steel area.  The steel 
          and aluminum are connected more intimately, and must be glued 
          together.  | 
          |  | 
          If you cannot see 
          the complete workplane then go to 
          
          Utility Menu>Plot Controls>Pan Zoom Rotate 
          and zoom out to see the entire workplane.
           | 
          |  | 
          The model should 
          look like the one below.  | 
        
        
         
        
        
        
         
        
        MATERIAL PROPERTIES
        
         
        
          |  | 
          We need to define 
          material properties separately for steel, aluminum, and copper.   
           | 
          |  | 
          Go to the ANSYS 
          Main Menu  | 
          |  | 
          Click 
          
          Preprocessor>Material Props>Material Models.  
          In the window that comes up choose 
          
          Thermal>Conductivity>Isotropic. 
           | 
        
        
         
        
        
        
         
        
        
          |  | 
          Enter 1 for the 
          Material Property Number and click OK. The following window comes up.
           | 
        
        
         
        
        
        
         
        
          |  | 
          Fill in 20 
          for Thermal conductivity. Click OK.  | 
          |  | 
          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.  | 
        
        
         
        
        ELEMENT PROPERTIES
        
         
        
          |  | 
          SELECTING ELEMENT 
          TYPE:  | 
          |  | 
          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.  | 
          |  | 
          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
        
         
        
          |  | 
          DIVIDING THE TOWER 
          INTO ELEMENTS:  | 
          |  | 
          Go to 
          
          Preprocessor>Meshing>Size Controls>Manual Size>Lines>All Lines. 
          In the menu that comes up type 0.005 in the field for 'Element edge 
          length'.  | 
        
        
         
        
        
        
         
        
          |  | 
          Click on OK. Now 
          when you mesh the figure ANSYS will automatically create meshes that 
          have an edge length of 0.005m along the lines you selected.
           | 
          |  | 
          First we will mesh 
          the steel area. Go to 
          
          Preprocessor>Meshing>Mesh Attributes>Default Attributes. 
          Make sure the window indicates "Material Ref.#1". 
          The window is shown below.  | 
        
        
         
        
        
        
         
        
          |  | 
          Now go to 
          
          Preprocessor>Meshing>Mesh>Areas>Free. 
          Pick the steel area and click OK.  | 
          |  | 
          Repeat the same 
          process for the aluminum and copper areas. Make sure you use the 
          correct material number (2 and 3 respectively) for both the areas. 
          Also since the steel and the copper areas overlap make sure you pick 
          the right area. If you choose the wrong area, use 
          
          Preprocessor>Meshing>Clear 
          to undo the previous mesh and then repeat the previous steps. The 
          meshed area should look like this:  | 
        
        
         
        
        
        
         
        
        BOUNDARY CONDITIONS AND 
        CONSTRAINTS
        
         
        
          |  | 
          Go to 
          
          Preprocessor>Loads>Define Loads>Apply>Thermal>Heat Generate>On
          Keypoints.
           | 
          |  | 
          Select the corners 
          of the copper square. Click OK. The following window comes up.
           | 
        
        
         
        
        
        
         
        
          |  | 
          Enter 10e6 
          for the HGEN value and click OK.  | 
          |  | 
          Go to Preprocessor>Loads>Define 
          Loads>Apply>Thermal>Convection>On Lines. 
          Pick all the lines on the outside of the object except the bottom one 
          where the object is considered insulated. Click OK. The following 
          window comes up.  | 
        
        
         
        
        
        
         
        
          |  | 
          Enter 50 for 
          "Film Coefficient" and 20 for "Bulk Temperature" and click OK.
           | 
          |  | 
          Now the Modeling of 
          the problem is done.  | 
        
        
         
        
        SOLUTION
        
         
        
          |  | 
          Go to ANSYS 
          
          Main Menu>Solution>Analysis Type>New Analysis.
           | 
          |  | 
          Select Steady 
          State and click on OK.  | 
          |  | 
          Go to 
          
          Solution>Solve>Current LS.
           | 
          |  | 
          An error window may 
          appear. Click OK on that window and ignore it.  | 
          |  | 
          Wait for ANSYS to 
          solve the problem.  | 
          |  | 
          Click on OK and 
          close the 'Information' window.  | 
        
        
         
        
        POST-PROCESSING
        
         
        
          |  | 
          Listing the 
          results.  | 
          |  | 
          Go to ANSYS Main 
          Menu 
          General Postprocessing>List Results>Nodal 
          Solution. 
          The following window will come up.  | 
        
        
         
        
        
        
         
        
          |  | 
          Select DOF 
          solution and Temperature. Click on OK. The nodal 
          displacements will be listed as follows.  | 
        
        
         
        
        
        
         
        
          |  | 
          You will find the 
          maximum value of temperature at the end of the above table.
           | 
        
        
         
        
        MODIFICATION
        
         
        
          |  | 
          You can also plot 
          the displacements and stress.  | 
          |  | 
          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:  | 
        
        
         
        
        