Heat transfer by conduction through a layer of material

Semiconductors / Fundamental Components / Thermal

The Thermal Resistor block represents heat transfer by conduction through a layer of material. The heat transfer is:

Governed by Fourier’s law

Proportional to the temperature difference across the layer of material

Inversely proportional to the thermal resistance of the material

The equation for conductive heat transfer is:

${Q}_{AB}=\frac{{T}_{AB}}{{R}_{thermal}},$

*Q*is the heat flow through the material._{AB}*T*is the temperature difference across the layer of material._{AB}*R*is the thermal resistance of the material._{thermal}

Thermal resistance can be calculated as:

${R}_{thermal}=\frac{D}{kA},$

*D*is the thickness of the layer of material.*k*is the thermal conductivity of the material.*A*is the area normal to the heat flow direction.

Use the Thermal Resistor block to parameterize an equivalent component in terms of thermal resistance of the material layer. To parameterize an equivalent component in terms of the thickness, thermal conductivity, and area of the material layer, use the Conductive Heat Transfer block from the Simscape™ Foundation library.

**Thermal resistance**The default value for the thermal resistance,

*R*, is_{thermal}`1e-3`

`K/W`

.

Use the **Variables** tab to set the priority
and initial target values for the block variables before simulation.
For more information, see Set Priority and Initial Target for Block Variables (Simscape) .

Unlike block parameters, variables do not have conditional visibility.
The **Variables** tab lists all the existing block
variables. If a variable is not used in the set of equations corresponding
to the selected block configuration, the values specified for this
variable are ignored.

The block has the following ports:

- A
Thermal conserving port associated with surface A of the material that the heat flows through.

- B
Thermal conserving port associated with surface B of the material that the heat flows through.

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