LIBRARY

Components.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_flow 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:

$$Q_{flow}=G\cdot \mathrm{\Delta }T$$

This component extends from ThermalComponents.Interfaces.Element1D

Usage

ThermalComponents.Components.ThermalConductor(G)

Parameters:

Name	Description	Units	Default value
G	Constant thermal conductance of the material	W/K

Connectors

• port_a - This connector represents a thermal port with temperature and heat flow as the potential and flow variables, respectively. (HeatPort)

• port_b - This connector represents a thermal port with temperature and heat flow as the potential and flow variables, respectively. (HeatPort)

Variables

Name	Description	Units
ΔT	Temperature difference across the element, calculated as port_a.T - port_b.T	K
Q_flow	Heat flow rate through the element, positive from port_a to port_b	W

Behavior

$$\begin{array}{rl}\mathtt{\Delta }\mathtt{T}\left(t\right)& =-\mathtt{port}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{T}\left(t\right)+\mathtt{port}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{T}\left(t\right)\\ \mathtt{port}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)& =\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)\\ \mathtt{port}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)+\mathtt{port}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)& =0\\ \mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)& =G\mathtt{\Delta }\mathtt{T}\left(t\right)\end{array}$$

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_flow` 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_{flow} = G \cdot \Delta T

"""
component ThermalConductor
  extends ThermalComponents.Interfaces.Element1D
  "Constant thermal conductance of the material"
  parameter G::ThermalConductance
relations
  Q_flow = G * ΔT
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://ThermalComponents/ThermalConductor.svg"}
  }
}
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_flow` 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_{flow} = G \cdot \Delta T

"""
component ThermalConductor
  "Port 'a' for thermal connection"
  port_a = HeatPort() {
    "Dyad": {
      "placement": {"icon": {"iconName": "port_a", "x1": -50, "y1": 450, "x2": 50, "y2": 550}}
    }
  }
  "Port 'b' for thermal connection"
  port_b = HeatPort() {
    "Dyad": {
      "placement": {"icon": {"iconName": "port_b", "x1": 950, "y1": 450, "x2": 1050, "y2": 550}}
    }
  }
  "Temperature difference across the element, calculated as port_a.T - port_b.T"
  variable ΔT::Temperature
  "Heat flow rate through the element, positive from port_a to port_b"
  variable Q_flow::HeatFlowRate
  "Constant thermal conductance of the material"
  parameter G::ThermalConductance
relations
  ΔT = port_a.T - port_b.T
  port_a.Q_flow = Q_flow
  port_a.Q_flow + port_b.Q_flow = 0
  Q_flow = G * ΔT
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://ThermalComponents/ThermalConductor.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

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