ThermalConductor
Lumped thermal element for heat conduction without thermal energy storage.
This component models a purely conductive thermal element. Heat flows through the conductor from the port with higher temperature to the port with lower temperature. The rate of heat flow Q
is linearly proportional to the temperature difference ΔT
across the element. The constant of proportionality is the thermal conductance G
. The relationship is given by Fourier's law for conduction in its lumped form:
Usage
ThermalConductor(G)
Parameters:
Name | Description | Units | Default value |
---|---|---|---|
G | Constant thermal conductance of the material | W/K |
Connectors
node_a
- This connector represents a thermal node with temperature and heat flow as the potential and flow variables, respectively. (Node
)node_b
- This connector represents a thermal node with temperature and heat flow as the potential and flow variables, respectively. (Node
)
Variables
Name | Description | Units |
---|---|---|
ΔT | Temperature difference across the element, calculated as node_a.T - node_b.T | K |
Q | Heat flow rate through the element, positive from node_a to node_b | W |
Behavior
Source
# Lumped thermal element for heat conduction without thermal energy storage.
#
# This component models a purely conductive thermal element. Heat flows through the
# conductor from the port with higher temperature to the port with lower temperature.
# The rate of heat flow `Q` is linearly proportional to the temperature difference
# `ΔT` across the element. The constant of proportionality is the thermal
# conductance `G`. The relationship is given by Fourier's law for conduction in
# its lumped form:
# ```math
# Q = G \cdot \Delta T
# ```
component ThermalConductor
extends Element1D
# Constant thermal conductance of the material
parameter G::ThermalConductance
relations
Q = G*ΔT
end
Flattened Source
# Lumped thermal element for heat conduction without thermal energy storage.
#
# This component models a purely conductive thermal element. Heat flows through the
# conductor from the port with higher temperature to the port with lower temperature.
# The rate of heat flow `Q` is linearly proportional to the temperature difference
# `ΔT` across the element. The constant of proportionality is the thermal
# conductance `G`. The relationship is given by Fourier's law for conduction in
# its lumped form:
# ```math
# Q = G \cdot \Delta T
# ```
component ThermalConductor
# Port 'a' for thermal connection
node_a = Node() [{
"Dyad": {
"placement": {"icon": {"iconName": "node_a", "x1": -100, "y1": 400, "x2": 100, "y2": 600}}
}
}]
# Port 'b' for thermal connection
node_b = Node() [{
"Dyad": {
"placement": {"icon": {"iconName": "node_b", "x1": 900, "y1": 400, "x2": 1100, "y2": 600}}
}
}]
# Temperature difference across the element, calculated as node_a.T - node_b.T
variable ΔT::Temperature
# Heat flow rate through the element, positive from node_a to node_b
variable Q::HeatFlowRate
# Constant thermal conductance of the material
parameter G::ThermalConductance
relations
ΔT = node_a.T-node_b.T
node_a.Q = Q
node_a.Q+node_b.Q = 0
Q = G*ΔT
metadata {}
end
Test Cases
No test cases defined.
Related
Examples
Experiments
Analyses
Tests