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Heat Capacitor

Lumped thermal element storing heat

Description

The Heat Capacitor component models a generic ideal heat capacity, where no geometry is assumed beyond the volume and the temperature is uniform for the entire mass. The heat capacity is assumed to be constant, that is, independent of the temperature.

If the parameter ${T}_{0}$ is not set, this component assumes the default temperature of 20 $°C$ at the start of the simulation and the heat capacity is calculated by

 $C={c}_{p}\cdot m$ $C\cdot \frac{\mathrm{dT}}{\mathrm{dt}}={Q}_{\mathrm{flow}}$

The following table lists typical values for ${c}_{p}$ at 20 $°C$ in $\frac{J}{\mathrm{kg}\cdot K}$:

 Medium Value aluminum 896 concrete 840 copper 383 iron 452 silver 235 steel 420 ... 500 wood 2500

Connections

 Name Description ${\mathrm{port}}_{}$ Output port

Variables

 Symbol Units Description ${c}_{p}$ $\frac{J}{\mathrm{kg}\cdot K}$ Specific heat capacity of fluid (material constant) $m$ kg Mass

Parameters

 Symbol Default Units Description Modelica ID $C$ - $\frac{J}{K}$ Heat capacity of part (${c}_{p}\cdot m$) C

Initial Conditions

 Symbol Units Description Modelica ID ${T}_{0}$ K Initial temperature T0 $\frac{K}{s}$ Time derivative of the temperature der_T0