Convection

Models heat transfer by convection where the thermal conductance is a signal input.

This component represents a lumped thermal element that experiences heat convection. The rate of heat transfer, Q, is determined by the product of the convective thermal conductance, Gc, and the temperature difference, ΔT, across the element. The convective thermal conductance Gc is not a fixed parameter but rather a time-varying signal input to the component. The governing equation is:

$$Q=G_c\cdot \mathrm{\Delta }T$$

The temperature difference ΔT and the heat flow Q are typically defined in or inherited from the base class ConvectiveElement1D.

ConvectiveElement1D

Usage

Convection()

Connectors

• solid - This connector represents a thermal node with temperature and heat flow as the potential and flow variables, respectively. (Node)

• fluid - This connector represents a thermal node with temperature and heat flow as the potential and flow variables, respectively. (Node)

• Gc - This connector represents a real signal as an input to a component (RealInput)

Variables

Name	Description	Units
ΔT	Temperature difference across the element, defined as solid.T - fluid.T.	K
Q	Heat flow rate from the solid node to the fluid node.	W

Behavior

$$\begin{array}{rl}\mathtt{\Delta }\mathtt{T}\left(t\right)& =\mathtt{solid}\mathtt{.}\mathtt{T}\left(t\right)-\mathtt{fluid}\mathtt{.}\mathtt{T}\left(t\right)\\ \mathtt{solid}\mathtt{.}\mathtt{Q}\left(t\right)& =Q\left(t\right)\\ \mathtt{fluid}\mathtt{.}\mathtt{Q}\left(t\right)& =-Q\left(t\right)\\ Q\left(t\right)& =\mathtt{Gc}\left(t\right)\mathtt{\Delta }\mathtt{T}\left(t\right)\end{array}$$

Source

# Models heat transfer by convection where the thermal conductance is a signal input.
#
# This component represents a lumped thermal element that experiences heat convection.
# The rate of heat transfer, `Q`, is determined by the product of the
# convective thermal conductance, `Gc`, and the temperature difference, `ΔT`,
# across the element. The convective thermal conductance `Gc` is not a fixed
# parameter but rather a time-varying signal input to the component.
# The governing equation is:
# ```math
# Q = G_c \cdot \Delta T
# ```
# The temperature difference `ΔT` and the heat flow `Q` are typically
# defined in or inherited from the base class `ConvectiveElement1D`.
component Convection
  extends ConvectiveElement1D
  # Signal representing the convective thermal conductance
  Gc = RealInput() [{"Dyad": {"placement": {"icon": {"x1": 400, "y1": -100, "x2": 600, "y2": 100}}}}]
relations
  Q = Gc*ΔT
end

Flattened Source

# Models heat transfer by convection where the thermal conductance is a signal input.
#
# This component represents a lumped thermal element that experiences heat convection.
# The rate of heat transfer, `Q`, is determined by the product of the
# convective thermal conductance, `Gc`, and the temperature difference, `ΔT`,
# across the element. The convective thermal conductance `Gc` is not a fixed
# parameter but rather a time-varying signal input to the component.
# The governing equation is:
# ```math
# Q = G_c \cdot \Delta T
# ```
# The temperature difference `ΔT` and the heat flow `Q` are typically
# defined in or inherited from the base class `ConvectiveElement1D`.
component Convection
  # Connector representing the solid side of the heat transfer interface.
  solid = Node() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "node_a", "x1": -100, "y1": 400, "x2": 100, "y2": 600}}
    }
  }]
  # Connector representing the fluid side of the heat transfer interface.
  fluid = Node() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "node_b", "x1": 900, "y1": 400, "x2": 1100, "y2": 600}}
    }
  }]
  # Temperature difference across the element, defined as solid.T - fluid.T.
  variable ΔT::Temperature
  # Heat flow rate from the solid node to the fluid node.
  variable Q::HeatFlowRate
  # Signal representing the convective thermal conductance
  Gc = RealInput() [{"Dyad": {"placement": {"icon": {"x1": 400, "y1": -100, "x2": 600, "y2": 100}}}}]
relations
  ΔT = solid.T-fluid.T
  solid.Q = Q
  fluid.Q = -Q
  Q = Gc*ΔT
metadata {}
end

Test Cases

No test cases defined.

Related

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