Thermoelectric Effect, Layered Shell
Use the Thermoelectric Effect, Layered Shell multiphysics coupling () to account for a Peltier heat source or sink in layered materials represented by boundaries where electrical and thermal models are defined.
In the equation for heat transfer in shells, a qs=PsJ contribution is added to the heat flux q:
The term Je,s=−σsSs∇tT is also added to the current density, which is then defined as:
Boundary Selection
Choose specific boundaries where to apply the thermoelectric effect, from the list of boundaries on which layered materials are defined.
Coupled Interfaces
This section defines the physics involved in the electromagnetic heating multiphysics coupling.
Select the Electromagnetic interface associated to the electric potential dependent variable.
Select the Heat Transfer interface associated to the temperature dependent variable.
Layer Selection
Select the applicable layers (the default setting is All layered materials) defining the required material properties for the node.
If no layered materials have been included yet, there is a shorthand available for creating a Single Layer Material, a Layered Material Link, or a Layered Material Stack(the plus, next to the Layered Material list).
When a layered material stack or link is selected from the Layered Material list, unselect the check boxes corresponding to layers where the node should not be applied in the Selection table.
You can visualize the selected layered materials and layers in each layered material by clicking the Layer cross section preview and Layer 3D preview buttons.
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See The Layer Selection and Interface Selection Sections.
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You can provide material parameters with a through-thickness variation by explicitly or implicitly using expressions containing the extra dimension coordinate as described in Using the Extra Dimension Coordinates.
The desired selection for the node may correspond to boundaries with different layered materials. The All layered materials option allows to gather these materials to make the desired selection applicable for the node on the union of the boundaries where the layered materials are defined.
See Layered Material, Layered Material Link, Layered Material Stack, Layered Material Link (Subnode), and Single Layer Material in the COMSOL Multiphysics Reference Manual for details on the definition of layered materials.
See Electromagnetic Heating in the COMSOL Multiphysics Reference Manual for a description of the corresponding multiphysics coupling in domains, in the context of Joule heating and laser heating modeling.
Thermoelectric Properties
The Seebeck coefficient Ss (SI unit: V/K) on the boundaries should be set.
Location in User Interface
Context menus
 Multiphysics>Thermoelectric Effect, Layered Shell
when any version of the Heat Transfer interface with the Thin Layer, Thin Film, or Fracture node, or any version of the Heat Transfer in Shells interface with the Solid, Fluid, Porous Medium node, is added together with the Electric Currents, Layered Shell interface.