modelCopperSpecHeat

Copper Specific Heat

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

Warming a lump of copper via convection. The heat-transfer modeling is rather simplistic... 


But the main feature here -- namely, the temperature-dependent heat capacity -- is still thereby revealed (see below). Note the cv~T3-behavior for low temperatures, accurately predicted in the Debye model (for high-T, this correctly turns over to an approach to a constant). Note also the relatively small contribution from the conduction electrons (well approximated by a gas of degenerate fermions), which, despite not holding much heat, contribute significantly to its quick transport. (See also the Physics.DebyeEoS and Physics.FermiDiracEoS blocks.)


Parameters

TypeNameDefaultDescription
Realm_e9.10938e-31mass of the electron in kg
Realk_dens2*(2*const.pi*m_e*const.k/const.h^2)^1.5
Realk_presk_dens*const.k

Components

TypeNameDefaultDescription
Modelica.Thermal.HeatTransfer.Components.Convectionconvection
Modelica.Thermal.HeatTransfer.Sources.FixedTemperaturefixedTemperature
Modelica.Blocks.Sources.ConstantGc_const
Blocks.Physics.DebyeFermiDiracSolidcopperLump