Temperature distribution convection cooled plate

	Convection Cooled Plate with Sources
Online thermal calculator for a plate that has discrete heat sources on one side and is convection cooled from the other side. The procedure is based on a 3-D analytical solution. Move a heat source with the mouse and see what happens. 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 3-D analytical solution for the temperature distribution on a plate with discrete heat sources on one side and is cooled by convection on the other side. The purpose is to show how smoothly analytical procedures can create overviews. Hsink is an example of a program that uses this procedure. The theoretical background of a similar 2-D solution is explained in: Convection Cooled Plates with Discrete Heat Sources, part 1. The solution is based on 2 nested Fourier series. A limitation with basic solutions of this type is that uniform heat transfer coefficient and uniform air temperature must be assumed. The disadvantage can however be fairly well compensated for by a set of special heat sources that are invisible on the screen. An air temperature compensation is implemented in this procedure. Chapter 10 and 17 of the theory document deal with these issues more in depth. Inputs Source 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 layout 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 and this is marked by a thicker frame. X-pos Is the X-coordinate position. Y-pos Is the Y-coordinate position. Width Is the X-coordinate width. Height 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 inputs above. If the program is in result mode it also recalculates. Add source Adds a heat source. The upper limit is 5 sources. Del source Deletes a heat source. Plate A plate is in this context any plate that can conduct heat. Width Is the X-coordinate width. Height Is the Y-coordinate width. Thickness Is the thickness. Conductivity Is the thermal conductivity. For various materials see: Tools from Maya Rth Is the thermal resistance, caused by convection, when the plate is isothermal. This value could be a literature value or calculated value from for example the Natural Convection Heat Sink or Forced Convection Heat Sink calculators. Air temp inc Is the air temperature rise at exit. It is automatically limited upwards to 80% of the inlet temperature difference if the plate had been isothermal. Set plate data Validates the inputs above. If the program is in result mode it also recalculates. Edit option Save/read data Opens a panel that allows the user to save and read input data. Top of page

Convection Cooled Plate with Sources

Online thermal calculator for a plate that has discrete heat sources on one side and is convection cooled from the other side. The procedure is based on a 3-D analytical solution.

Move a heat source with the mouse and see what happens.

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

General

This applet implements a 3-D analytical solution for the temperature distribution on a plate with discrete heat sources on one side and is cooled by convection on the other side. The purpose is to show how smoothly analytical procedures can create overviews.

Hsink is an example of a program that uses this procedure. The theoretical background of a similar 2-D solution is explained in: Convection Cooled Plates with Discrete Heat Sources, part 1.

The solution is based on 2 nested Fourier series. A limitation with basic solutions of this type is that uniform heat transfer coefficient and uniform air temperature must be assumed. The disadvantage can however be fairly well compensated for by a set of special heat sources that are invisible on the screen. An air temperature compensation is implemented in this procedure.

Chapter 10 and 17 of the theory document deal with these issues more in depth.

Inputs

Source
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 layout 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 and this is marked by a thicker frame.

X-pos
Is the X-coordinate position.

Y-pos
Is the Y-coordinate position.

Width
Is the X-coordinate width.

Height
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 inputs above. If the program is in result mode it also recalculates.

Add source
Adds a heat source. The upper limit is 5 sources.

Del source
Deletes a heat source.

Plate
A plate is in this context any plate that can conduct heat.

Width
Is the X-coordinate width.

Height
Is the Y-coordinate width.

Thickness
Is the thickness.

Conductivity
Is the thermal conductivity.
For various materials see: Tools from Maya

Rth
Is the thermal resistance, caused by convection, when the plate is isothermal. This value could be a literature value or calculated value from for example the Natural Convection Heat Sink or Forced Convection Heat Sink calculators.

Air temp inc
Is the air temperature rise at exit. It is automatically limited upwards to 80% of the inlet temperature difference if the plate had been isothermal.

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

Edit option

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

Top of page