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Ring

A node of Ring

Parameters for Visualization (Optional)

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Description

The Ring component models a generic ideal thermal conductor with ring geometry.

The following image uses Thermal Conductor components to illustrate the behavior of the Ring component.

Each Thermal Conductor component is connected to the $port_outer$ , $port_inner$ , $port_front$ , and $port_back$ .

All Thermal Conductor components are connected to the Heat Capacitor. The $port_center$ is directly connected to the Heat Capacitor.

The geometry of Ring is the following.

Equations

(For details, see Thermal Conductor and Heat Capacitor help).

The geometries of Heat Capacitor and each Thermal Conductor are defined by the following equations.

	Heat Capacitor
	The volume $V$ is defined by the following equation. $V = π \cdot ({R__o}^{2} - {R__i}^{2}) \cdot D$

Thermal Conductor

The area $A$ and distance $L$ are defined by the following equations.
Outer Thermal Conductor

$A =$ $\frac{2 \cdot π \cdot \frac{R__o - R__i}{2} \cdot D}{\ln (\frac{R__o}{(\frac{R__o + R__i}{2})})}$ $L =$ $\frac{R__o - R__i}{2}$

Inner Thermal Conductor

$A =$ $\frac{2 \cdot π \cdot \frac{R__o - R__i}{2} \cdot D}{\ln (\frac{(\frac{R__o + R__i}{2})}{R__i})}$ $L =$ $\frac{R__o - R__i}{2}$

Front and back Thermal Conductors

$A =$ $π \cdot ({R__o}^{2} - {R__i}^{2})$ $L =$ $\frac{D}{2}$

Variables

(For details, see Thermal Conductor and Heat Capacitor help).

Symbol	Units	Description	Modelica ID
$T$	$K$	Temperature of Heat Capacitor	T

Connections

Name	Description	Modelica ID
$port_outer$	Thermal port of outer	$port_outer$
$port_inner$	Thermal port of inner	$port_inner$
$port_front$	Thermal port of front	$port_front$
$port_back$	Thermal port of back	$port_back$
$port_center$	Thermal port of center	$port_center$

Parameters

Symbol	Default	Units	Description	Modelica ID
$Material$	$SolidPropertyData1$	$-$	Solid material property data	Material
		$\frac{W}{m \cdot K}$	Material.k is the thermal conductivity of the material	Material.k
		$\frac{J}{kg \cdot K}$	Material.cp is the specific heat capacity of the material	Material.cp
		$\frac{kg}{m^{3}}$	Material.rho is the density of the material	Material.rho
$R__o$	$1$	$m^{}$	Outer radius of the ring	Ro
$R__i$	$0.5$	$m^{}$	Inner radius of the ring	Ri
$D$	$1$	$m^{}$	Depth of the ring	D
$T__start$	$293.15$	$K$	Initial condition of temperature	T_start
$fixed$	$true$	$-$	True enforces the T_start initial condition	fixed

Parameters for Visualization (Optional)

Note: If you enable Show Visualization option, you can visualize temperature change as colored geometry in 3-D Playback Window. To make this function available, you have to enable 3-D Animation option in Multibody Settings.
The quality of the visualization is affected if any open plot windows are behind the 3-D Playback Window. If you are experiencing playback issues, try moving the 3-D Playback Window so that it does not overlap a plot window. Alternatively, minimize or close any open plot windows.

(For more details about the relation between color and temperature, see Color Blend help).

Symbol	Default	Units	Description	Modelica ID
$Show Visualization$	$false$	$-$	If true, you can visualize the temperature of heat capacitor Node as colored geometry in 3-D Playback Window. And the following visualization parameters are available.	VisOn
$Position$	$[0, 0, 0]$	$m$	Position of the node in visualization [X, Y, Z].	pos[3]
Rotation	$[0, 0, 0]$	rad	Rotation of the node in visualization [X, Y, Z].	rot[3]
$Transparent$	$false$	$-$	If true, node geometry will be transparent.	transparent
$T__max$	$373.15$	$K$	Upper limit of temperature in the color blend.	Tmax
$Color of T__max$	$RGB (255, 0, 0)$	$-$	Color when temperature is over $T__max &period;$ Temperature between $T__max$ and $T__min$ are automatically interpolated to a color.	color_Tmax
$T__min$	$273.15$	$K$	Lower limit of temperature in the color blend.	Tmin
$Color of T__min$	$RGB (0, 0, 255)$	$-$	Color when temperature is under $T__min$ . Temperature between $T__max$ and $T__min$ are automatically interpolated to a color.	color_Tmin
$Show Sphere element$	$true$	$-$	If true, heat capacitor sphere will be shown.	showCapacitor
$R__sphere$	$0.2$	$m$	Radius of visualized heat capacitor sphere.	Sradius

	See Also
	Heat Transfer Library Overview Nodes Overview

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