Thermal Conductor - MapleSim Help

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Thermal Conductor

Lumped thermal element transporting heat without storing it

 

Description

Connections

Variables

Parameters

Initial Conditions

See Also

Description

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

Qflow=GT2T1

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=kAL

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

G=2πkLlogr outr in

Typical values for k at 20 °C in Wm.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

porta

Input port a

portb

Input port b

Variables

Symbol

Units

Description

T1

-

Input temperature

T2

-

Output temperature

k

-

Thermal conductivity (material constant)

A

-

Area of the box

L

-

Length of the box or cylinder

r out

-

Outer radius of  the cylinder

rin

-

Inner radius of the cylinder

Parameters

Symbol

Default

Units

Description

Modelica ID

G

-

WK

Constant thermal conductance of the material

G

Initial Conditions

Symbol

Units

Description

Modelica ID

Qflow0

W

Heat flow rate from porta to portb

Q_flow

ΔT0

K

Initial temperature difference

dT

See Also

Heat Transfer Components

Thermal Overview

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.

 

 

 

 

 


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