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ThermalResistor.md

ThermalResistor ​

Represents a pure thermal resistance relating temperature difference to heat flow rate.

This component models a lumped thermal resistance where heat is transported without being stored. The relationship between the temperature difference (ΔT) across the component and the heat flow rate (Q) through it is defined by its constant thermal resistance (R). The fundamental behavior is captured by Fourier's law of heat conduction in its lumped form:

ΔT=R⋅Q

This component is acausal and inherits from Element1D, implying it has two thermal ports through which heat can flow.

This component extends from Element1D

Usage ​

ThermalComponents.ThermalResistor(R)

Parameters: ​

NameDescriptionUnitsDefault value
RConstant thermal resistance of the materialK/W

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 ​

NameDescriptionUnits
ΔTTemperature difference across the element, calculated as node_a.T - node_b.TK
QHeat flow rate through the element, positive from node_a to node_bW

Behavior ​

ΔT(t)=−node_b.T(t)+node_a.T(t)node_a.Q(t)=Q(t)node_a.Q(t)+node_b.Q(t)=0ΔT(t)=RQ(t)

Source ​

dyad
"""
Represents a pure thermal resistance relating temperature difference to heat flow rate.

This component models a lumped thermal resistance where heat is transported without being stored.
The relationship between the temperature difference ($\Delta T$) across the
component and the heat flow rate ($Q$) through it is defined by its constant
thermal resistance ($R$). The fundamental behavior is captured by Fourier's law of heat conduction
in its lumped form:

math \Delta T = R \cdot Q

This component is acausal and inherits from `Element1D`, implying it has two
thermal ports through which heat can flow.
"""
component ThermalResistor
  extends Element1D
  "Constant thermal resistance of the material"
  parameter R::ThermalResistance
relations
  ΔT = R * Q
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://ThermalComponents/ThermalResistor.svg"}
  }
}
end
Flattened Source
dyad
"""
Represents a pure thermal resistance relating temperature difference to heat flow rate.

This component models a lumped thermal resistance where heat is transported without being stored.
The relationship between the temperature difference ($\Delta T$) across the
component and the heat flow rate ($Q$) through it is defined by its constant
thermal resistance ($R$). The fundamental behavior is captured by Fourier's law of heat conduction
in its lumped form:

math \Delta T = R \cdot Q

This component is acausal and inherits from `Element1D`, implying it has two
thermal ports through which heat can flow.
"""
component ThermalResistor
  "Port 'a' for thermal connection"
  node_a = Node() {
    "Dyad": {
      "placement": {"icon": {"iconName": "node_a", "x1": -50, "y1": 450, "x2": 50, "y2": 550}}
    }
  }
  "Port 'b' for thermal connection"
  node_b = Node() {
    "Dyad": {
      "placement": {"icon": {"iconName": "node_b", "x1": 950, "y1": 450, "x2": 1050, "y2": 550}}
    }
  }
  "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 resistance of the material"
  parameter R::ThermalResistance
relations
  ΔT = node_a.T - node_b.T
  node_a.Q = Q
  node_a.Q + node_b.Q = 0
  ΔT = R * Q
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://ThermalComponents/ThermalResistor.svg"}
  }
}
end


Test Cases ​

No test cases defined.

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