Edge-cooled plate with heat sources


Online calculator the temperature distribution on an edge-cooled plate with discrete heat sources.

For the theoretical background, see the Edge Cooling article.

Move the heat source with the mouse and notice what happens. Click on the 3-D mode button to get a better overview.

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

This applet implements a 2-D analytical solution for the temperature distribution on an edge-cooled plate with discrete heat sources. The purpose is to show how fast analytical solutions can create overviews.

The solution is based on 2 nested Fourier series.

The Btemp program has an option called "Objects" that can be used to define surfaces of uniform temperature. Placing such objects along the edges of the PCB creates cooling conditions similar to this application.

The solution is also useful for estimating temperatures on power components attached on metal plates with water cooled edges.


Source inputs

A heat source is a rectangular area with a uniform heat flux. The applet can handle up to 5 sources. The coordinate system has its origin in the lower left corner and the base point for the sources is their lower left corners. There is also a fix 1 mm snap grid.

When in 2-D mode all heat sources can be moved with the mouse. On clicked, a heat source becomes the active heat source which is marked by a thicker frame.

X-pos
Is the X-coordinate position.

Y-pos
Is the Y-coordinate position.

X-width
Is the X-coordinate width.

Y-width
Is the Y-coordinate width.

Heat diss
Is the heat dissipation of the source. The grayed area to the left shows the total heat dissipation on the plate.

Set source data
Validates the properties in the source inputs. If the program is in result mode it also recalculates.

Add source
Adds a heat source. 5 sources can be used.

Delete source
Deletes a heat source.

Save/read data
Implements a cut and paste procedure that can be used to save and read the layouts.


Plate inputs

Is any kind of plate provided that it can be simulated as a 2-D case. Check this up by calculating the thermal resistance in the Z-direction,(based on half the plate thickness)

R=(thickness/2)/((conductivity)*(source surface))

with the total thermal resistance for the system.

Width
Is the X-coordinate width.

Height
Is the Y-coordinate width.

Thickness
Is the thickness of the plate.

Conductivity
Is the thermal conductivity. If the plate is a PCB it can be calculated by the applet. Thermal properties for PCBs.

East, North, West and South
Sets the cooled sides. The temperature of a cooled edge is always 0 C. At least one side must be cooled.

Set plate data
Validates the inputs above. If the program is in result mode it also recalculates.

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