Temperature-dependent Solid Volumetric Heat Capacity Model
Overview
In this model, solid volumetric specific heat capacity is assumed to be a linear function of temperature:
- where
is the solid volumetric heat capacity at temperature T;
is the reference solid volumetric heat capacity at the reference temperature;
is the reference temperature;
is the gradient of the volumetric heat capacity with respect to temperature, which equals to zero for the cases with constant solid volumetric heat capacity;
Parameters
The temperature-dependent solid volumetric heat capacity model is called in the
<SolidInternalEnergy>
block of the input XML file.
This model must be assigned a unique name via the
name
attribute.
This name is used to attach the model to regions of the physical
domain via a solidInternalEnergyModelName
attribute in the <CompressibleSolidConstantPermeability>
block.
The following attributes are supported:
Name |
Type |
Default |
Description |
---|---|---|---|
dVolumetricHeatCapacity_dTemperature |
real64 |
0 |
Derivative of the solid volumetric heat capacity w.r.t. temperature [J/(m^3.K^2)] |
name |
groupName |
required |
A name is required for any non-unique nodes |
referenceInternalEnergy |
real64 |
required |
Internal energy at the reference temperature [J/kg] |
referenceTemperature |
real64 |
required |
Reference temperature [K] |
referenceVolumetricHeatCapacity |
real64 |
required |
Reference solid volumetric heat capacity [J/(kg.K)] |
Example
<Constitutive>
...
<SolidInternalEnergy
name="rockInternalEnergy"
referenceVolumetricHeatCapacity="4.56e6"
dVolumetricHeatCapacity_dTemperature="1e6"
referenceTemperature="0"
referenceInternalEnergy="0"/>
...
</Constitutive>