Thermal Conductor - MapleSim Help

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Thermal Conductor

Lumped thermal element transporting heat without storing it

Description

The Thermal Conductor component models a heat transfer element that transports heat without storing it. Its equation is

 ${Q}_{\mathrm{flow}}=G\cdot \left({T}_{2}-{T}_{1}\right)$

It may be used for complicated geometries where the thermal conductance, G (that is, the inverse of the thermal resistance), is determined by measurements and assumed to be constant over a range of operations. If the component mainly consists of one media type and has a regular geometry, the thermal conductance may be calculated using one of the following equations:

Conductance for a box geometry under the assumption that heat flows along the box length.

 $G=\frac{kA}{L}$

Conductance for a cylindrical geometry under the assumption that heat flows from the inside to the outside radius of the cylinder.

Typical values for $k$ at 20 $°C$ in $\frac{W}{m.K}$:

 Medium Value aluminum 220 concrete 1 copper 384 iron 74 silver 407 steel (V2A) 15 ... 45 wood 0.1 ... 0.2

Connections

 Name Description ${\mathrm{port}}_{a}$ Input port a ${\mathrm{port}}_{b}$ Input port b

Variables

 Symbol Units Description ${T}_{1}$ - Input temperature ${T}_{2}$ - Output temperature $k$ - Thermal conductivity (material constant) $A$ - Area of the box $L$ - Length of the box or cylinder - Outer radius of  the cylinder $r{}_{\mathit{in}}$ - Inner radius of the cylinder

Parameters

 Symbol Default Units Description Modelica ID $G$ - $\frac{W}{K}$ Constant thermal conductance of the material G

Initial Conditions

 Symbol Units Description Modelica ID ${Q}_{\mathrm{flow0}}$ W Heat flow rate from to ${\mathrm{port}}_{b}$ Q_flow ${\mathrm{ΔT}}_{\mathit{0}}$ $K$ Initial temperature difference dT

 See Also The components described in this topic are from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.