Example6 Heat Radiation by Natural Convection(Transient Analysis)

General

  • The model is the same as Exercise 5: The heat radiation from an aluminum plate is analyzed. This is a transient analysis.
     

  • The temperature distribution and the heat flux vectors are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

 

Analysis Conditions

Item

Settings

Solvers

Thermal Analysis [Watt]

Analysis Type

Transient analysis

Options

N/A

 

The transient analysis is set up in transient tab as follows. The total number of steps is 30. The time step is 10 second.

Therefore, the temperature distributions for 300 seconds are solved.

Tab

Setting Item

Settings

Transient analysis

Table

Number

Calculation steps

Output steps

Time step [s]

1

30

1

10

 

Initial Temperature

25[deg]

Model

The same as Exercise 5. The material properties and the boundary conditions are the same as well.

Aluminum plate, defined by a rectangular solid body, is placed vertically. The bottom face is set with the Temperature boundary condition.

The other faces are set with the Heat transfer/Ambient radiation boundary condition.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

VOL1

404 Pure-Al1100 *

* Available from the Material DB

Boundary Conditions

The coefficient for the natural convection is calculated as follows. See [Heat Transfer/Ambient Radiation] for more information.

The coefficient can be calculated automatically if that is preferred.
 

2.51×C×(1/L)^(1/4) = 2.50 [W/m2/deg5/4]

where

C = 0.56

L = 0.1

 

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Temp/Face

Thermal

Temperature

80[deg]

Outer Boundary Condition

Thermal

Heat Transfer/Ambient Radiation

Natural convection: 2.50[W/m2/deg5/4]

Room Temperature : 25[deg]

 

Results

The temperature distributions in 20 sec, 60 sec and 120 sec are shown below.

At Minimum/Maximum Value on the Contour tab of [Graphics Setup], deselect “Automatic” and set 25 => 80.

In 20 seconds

In 60 seconds

In 120 seconds

The heat creeps up as the time goes by.

 

The chart below shows the temperature of the tip of the plate.

It is getting stabilized in 200 seconds.