Transient temperature distribution in a block


Online calculator for the transient temperature in a rectangular block with a rectangular heat source on one surface and isothermal conditions on the opposite surface.

Use the mouse and notice what happens when the red position marker is moved.

Related links
Thermal design for electronics
Thermal online tools
Unit conversion
Comments



Your need to install a Java console to display this applet. All modern browsers have this option.


General

The purpose of this applet is to show how an analytical method can be used to provide fast overviews.

The solution is based on several nested Fourier series. The theory for the static case is included in the The 45-degree rule article.

The execution speed is highly dependent on the body to heat source width ratio.

The temperatures are calculated in a cross section that cuts the body in the middle. This can not be changed.


Inputs

X-width
Is the X-coordinate width.

Y-width
Is the Y-coordinate width.

Z-width
Is the Z-coordinate width.

Conductivity
Is the thermal conductivity.

Specific heat
Is the specific heat.

Density
Is the density.

Source
The heat source is a rectangular area with a uniform heat flux. The coordinate system has its origin in the lower left corner and the base point for the source is the lower left corner.

When in 2-D mode the heat source can be moved with the mouse .

X-pos
Is the X-coordinate position.

Y-pos
Is the Y-coordinate position.

Heat diss
Is the heat dissipation of the source.

Cycle time
Is the time it takes to complete a full cycle of the function specified.

Wave shape
Is the shape of the cyclic time function. there are 3 possibilities. "Rectangular" specifies a rectangular wave function. "Sin" specifies a sin function. "Stat" specifies no variation in time.


Editing

Edit mode/Result mode
Toggles between edit and result mode.

3-D mode/2-D mode
Toggles between the 2-D and the 3-D mode.

Diagram
If checked, a diagram showing the temperature variations below the red marker is displayed. The X-axis spans over the period specified for the heat source.
If unchecked, a panel with time step editors is displayed.

Save last/Delete last
Saves or deletes the last curve in the diagram. Maximum capacity is 5 curves.

Save/read data
Opens a panel that allows the user to save and read input data.

Output

(max dT)/(static dT)
Is the ratio of the maximum temperature difference below the marker for the dynamic and static cases.

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