chapter 6 exercise 6.1

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Chapter 6-Fin Problem: Exercise 6.1 Aluminum fins of a rectangular profile, shown in Figure 6.2, are used to remove heat from a surface whose temperature is 100 °C. The temperature of the ambient air is 20°C. The thermal conductivity of the aluminum is 168W/m°C. The natural convective heat transfer coefficient associated with the surrounding air is 30W/m 2 C. The fins are 80mm long, 5mm wide, and 1mm thick. Determine the temperature distribution along the fin using 4 elements.. Finite Element Method Laboratory BDA4033 Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

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Page 1: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1Aluminum fins of a rectangular profile, shown in Figure 6.2, are used to remove heat from a surface whose temperature is 100 °C. The temperature of the ambient air is

20°C. The thermal conductivity of the aluminum is 168W/m°C. The natural convective heat transfer coefficient associated with the surrounding air is 30W/m2C. The fins are

80mm long, 5mm wide, and 1mm thick. Determine the temperature distribution along the fin using 4 elements..

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 2: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1

Go to menu Model. Type of Analysis.

The analysis type (2D) to calculate the distribution load is Thermal-Steady State.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 3: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1

Go to menu Model > Global Properties, then select the Output Options tab and enable Element field values (non-averaged).

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 4: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1The cross section and the material conductivity are entered from the menu Model >

Materials. Click Add, In Geometric tab, choose Rectangular Bar and enter the a, 0.005mand b: 0.001m.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 5: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1• Go to Thermal tab , Choose Isotropic

– Enter Thermal Conductivity: 168W/m°C > Close

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 6: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1• Go to Nodes tab , Choose Add Single.

– Enter and Add the coordinate of 5 nodes as below (refer figure 6.2).

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 7: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1

Click Close button to exit the dialog. You have created 5 nodes.

Click Show Node Numbers On/Off symbol.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 8: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1Go to menu Elements > Add Single, then select Line 2-fin , choose material 1 and click node 1 and

2 to define element 1. Then, continue the step for element 2 ~element 4. Click Show Element Numbers On/Off symbol.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 9: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1Node 1 have temperature constraint about 100 °C . Pick the node to be restrained, i.e. node 1, then go to menu Constraints . Add/Edit and a Node Properties dialog appears. Select the Property selection bar to temperature then click Add then OK to accept value=100 and exit the dialog and back to the previous

dialog. Click the Close button to exit the Node Properties dialog. The constraint symbols should appear

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 10: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1This convection in LISA is considered as the elemental load, accessible from the menu

Loads . Convection then Add Single. Choose the correct element and face. The complete convection should appear as follows:

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 11: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1The convection symbols can be seen in the following picture.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 12: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1Run the solver. After the solver completing doing the analysis successfully, then click the Post

Processor button to open the viewing result environment

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 13: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1

Result of temperature distribution should show

what is captured in below Figure

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Page 14: Chapter 6 Exercise 6.1

Chapter 6-Fin Problem: Exercise 6.1

Nodes temperature distribution result table

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol