Transport Units

Transport is a multipurpose unit. They can represent almost every processing step, which is characterized by negligible deformation but by thermal flows or microstructure evolution. The most used application is the cooling in the clearances between every roll pass further, the CoolingPipe class is derived from a Transport being used to model the respective unit inside a water box.

Cooling Pipe Units

But also furnaces or other cooling ranges can be described by transport units. Transports are represented by the Transport class. Create a Transport object as follows:

Transport(
    duration=10,
    ...
)

The hook Transport.duration is the most important property of transport. It defines the temporal extent of the transport. An alternative way of defining the extent is a combination of the spatial extent Transport.length and the material flow velocity.

Transport(
    length=10,
    velocity=1, # can be left out if known from the in profile
    ...
)

However, this approach may not be appropriate for all transports, as the velocity may not be constant or the spatial extent may be meaningless. Therefore, all models for transport are recommended to be defined at the timescale and independent of the length scale, if possible.

class Transport(label: str = '', parent=None, **kwargs)

Represents a transport unit, e.g. an inter-rolling-stand gap, a furnace or cooling range.

class DiskElement(parent: Unit, index: int, **kwargs)

Represents a disk element in a roll pass.

Parameters:

label – label for human identification
kwargs – additional hook values as keyword arguments to set explicitly

class InProfile(unit: Unit, template: Profile)

Represents an incoming profile of a disk element unit.

Using the __init__ is not recommended, use one of the factory class methods instead.

ae1_temperature: Temperature at which austenite starts to transform into a mixture of ferrite and cementite during cooling.

ae3_temperature: Temperature above which the transformation of austenite into a mixture of ferrite and cementite is complete during cooling.

altitudinal_strain: Logarithmic normal strain (principal strain) in thickness (y) direction.

altitudinal_stress: Normal stress (principal stress) in thickness (y) direction. Positive means tension, negative pressure.

astm_grain_size_number: ASTM grain size number, assuming grains are round.

bainite_finish_temperature: Bainite finish temperature for the given chemical composition of the profile.

bainite_start_temperature: Bainite start temperature for the given chemical composition of the profile.

chemical_composition: Chemical composition of the profile’s material as dict of element symbols to atom fractions (0 to 1). The key of the dict should correspond to the nomenclature of the TDB (Thermodynamic Data Base file). This means only capital letters and abbreviations according to the periodic table of the elements.

classifiers: Classifiers of the profile’s shape’s type.

core_temperature: Temperature of the profile core.

cross_section: Shape of the profile’s cross-section.

deformation_activation_energy: Activation energy of deformation especially for calculation of Zener-Holomon-Parameter.

density: Mean density (specific weight) of the profile material.

elastic_modulus: Mean elastic modulus of the profile material.

equivalent_height: Height of the equivalent rectangle.

equivalent_radius: Radius of a equivalent round.

equivalent_rectangle: Equivalent rectangle geometry for use with equivalent flat pass models.

equivalent_stress: Equivalent Stress.

equivalent_width: Width of the equivalent rectangle.

flow_stress: Mean flow stress of the profile material.

flow_stress_function: Flow stress depended on strain, strain-rate and temperature

grain_size: Average grain size of the profile’s material.

heat_penetration_number: Mean heat penetration number of the profile material.

height: Maximum height (y-direction).

hydrostatic_stress: Hydrodynamic Stress.

latitudinal_contact_friction: Contact friction between profile and tooling in width (z) direction.

latitudinal_strain: Logarithmic normal strain (principal strain) in width (z) direction.

latitudinal_stress: Normal stress (principal stress) in width (z) direction. Positive means tension, negative pressure.

length: Length of the workpiece (x-direction).

longitudinal_contact_friction: Contact friction between profile and tooling in rolling (x) direction.

longitudinal_strain: Logarithmic normal strain (principal strain) in rolling (x) direction.

longitudinal_stress: Normal stress (principal stress) in rolling (x) direction. Positive means tension, negative pressure.

martensite_finish_temperature: Martensite finish temperature for the given chemical composition of the profile.

martensite_start_temperature: Martensite start temperature for the given chemical composition of the profile.

mass_per_meter: Weight of one meter of the profile.

material: String or sequence of strings classifying the material of the profile. Can be used by material databases to retrieve respective data.

microstructure_composition: Phase resp. constituent composition of the profile’s material as dict of constituent names to volume fractions (0 to 1).

normal_stress: Normal Stress acting between profile and tooling.

poissons_ratio: Mean Poisson’s ratio of the profile material.

scale_thickness: Thickness of the scale covering the profile.

specific_heat_capacity: Mean specific heat capacity of the profile material.

strain: Mean equivalent strain of the profile cross-section.

surface_temperature: Mean temperature of the profile surface.

t: Temporal coordinate.

technologically_orientated_cross_section: Shape of the profile’s cross-section with technologically correct orientation.

temperature: Mean temperature of the profile cross-section.

thermal_conductivity: Mean thermal conductivity of the profile material.

thermal_diffusivity: Mean thermal diffusivity of the profile material.

velocity: Mean material flow velocity.

vickers_hardness: Vickers hardness of the cold profile material.

width: Maximum width (z-direction).

x: Spacial coordinate in rolling direction.

class OutProfile(unit: Unit, template: Profile)

Represents an outgoing profile of a disk element unit.

Using the __init__ is not recommended, use one of the factory class methods instead.

ae1_temperature: Temperature at which austenite starts to transform into a mixture of ferrite and cementite during cooling.

ae3_temperature: Temperature above which the transformation of austenite into a mixture of ferrite and cementite is complete during cooling.

altitudinal_strain: Logarithmic normal strain (principal strain) in thickness (y) direction.

altitudinal_stress: Normal stress (principal stress) in thickness (y) direction. Positive means tension, negative pressure.

astm_grain_size_number: ASTM grain size number, assuming grains are round.

bainite_finish_temperature: Bainite finish temperature for the given chemical composition of the profile.

bainite_start_temperature: Bainite start temperature for the given chemical composition of the profile.

chemical_composition: Chemical composition of the profile’s material as dict of element symbols to atom fractions (0 to 1). The key of the dict should correspond to the nomenclature of the TDB (Thermodynamic Data Base file). This means only capital letters and abbreviations according to the periodic table of the elements.

classifiers: Classifiers of the profile’s shape’s type.

core_temperature: Temperature of the profile core.

cross_section: Shape of the profile’s cross-section.

deformation_activation_energy: Activation energy of deformation especially for calculation of Zener-Holomon-Parameter.

density: Mean density (specific weight) of the profile material.

elastic_modulus: Mean elastic modulus of the profile material.

equivalent_height: Height of the equivalent rectangle.

equivalent_radius: Radius of a equivalent round.

equivalent_rectangle: Equivalent rectangle geometry for use with equivalent flat pass models.

equivalent_stress: Equivalent Stress.

equivalent_width: Width of the equivalent rectangle.

flow_stress: Mean flow stress of the profile material.

flow_stress_function: Flow stress depended on strain, strain-rate and temperature

grain_size: Average grain size of the profile’s material.

heat_penetration_number: Mean heat penetration number of the profile material.

height: Maximum height (y-direction).

hydrostatic_stress: Hydrodynamic Stress.

latitudinal_contact_friction: Contact friction between profile and tooling in width (z) direction.

latitudinal_strain: Logarithmic normal strain (principal strain) in width (z) direction.

latitudinal_stress: Normal stress (principal stress) in width (z) direction. Positive means tension, negative pressure.

length: Length of the workpiece (x-direction).

longitudinal_contact_friction: Contact friction between profile and tooling in rolling (x) direction.

longitudinal_strain: Logarithmic normal strain (principal strain) in rolling (x) direction.

longitudinal_stress: Normal stress (principal stress) in rolling (x) direction. Positive means tension, negative pressure.

martensite_finish_temperature: Martensite finish temperature for the given chemical composition of the profile.

martensite_start_temperature: Martensite start temperature for the given chemical composition of the profile.

mass_per_meter: Weight of one meter of the profile.

material: String or sequence of strings classifying the material of the profile. Can be used by material databases to retrieve respective data.

microstructure_composition: Phase resp. constituent composition of the profile’s material as dict of constituent names to volume fractions (0 to 1).

normal_stress: Normal Stress acting between profile and tooling.

poissons_ratio: Mean Poisson’s ratio of the profile material.

scale_thickness: Thickness of the scale covering the profile.

specific_heat_capacity: Mean specific heat capacity of the profile material.

strain: Mean equivalent strain of the profile cross-section.

surface_temperature: Mean temperature of the profile surface.

t: Temporal coordinate.

technologically_orientated_cross_section: Shape of the profile’s cross-section with technologically correct orientation.

temperature: Mean temperature of the profile cross-section.

thermal_conductivity: Mean thermal conductivity of the profile material.

thermal_diffusivity: Mean thermal diffusivity of the profile material.

velocity: Mean material flow velocity.

vickers_hardness: Vickers hardness of the cold profile material.

width: Maximum width (z-direction).

x: Spacial coordinate in rolling direction.

class Profile(unit: Unit, template: Profile)

Represents a profile in context of a disk element unit.

Using the __init__ is not recommended, use one of the factory class methods instead.

ae1_temperature: Temperature at which austenite starts to transform into a mixture of ferrite and cementite during cooling.

ae3_temperature: Temperature above which the transformation of austenite into a mixture of ferrite and cementite is complete during cooling.

altitudinal_strain: Logarithmic normal strain (principal strain) in thickness (y) direction.

altitudinal_stress: Normal stress (principal stress) in thickness (y) direction. Positive means tension, negative pressure.

astm_grain_size_number: ASTM grain size number, assuming grains are round.

bainite_finish_temperature: Bainite finish temperature for the given chemical composition of the profile.

bainite_start_temperature: Bainite start temperature for the given chemical composition of the profile.

chemical_composition: Chemical composition of the profile’s material as dict of element symbols to atom fractions (0 to 1). The key of the dict should correspond to the nomenclature of the TDB (Thermodynamic Data Base file). This means only capital letters and abbreviations according to the periodic table of the elements.

classifiers: Classifiers of the profile’s shape’s type.

core_temperature: Temperature of the profile core.

cross_section: Shape of the profile’s cross-section.

deformation_activation_energy: Activation energy of deformation especially for calculation of Zener-Holomon-Parameter.

density: Mean density (specific weight) of the profile material.

property disk_element: DiskElement: Reference to the disk element. Alias for self.unit

elastic_modulus: Mean elastic modulus of the profile material.

equivalent_height: Height of the equivalent rectangle.

equivalent_radius: Radius of a equivalent round.

equivalent_rectangle: Equivalent rectangle geometry for use with equivalent flat pass models.

equivalent_stress: Equivalent Stress.

equivalent_width: Width of the equivalent rectangle.

flow_stress: Mean flow stress of the profile material.

flow_stress_function: Flow stress depended on strain, strain-rate and temperature

grain_size: Average grain size of the profile’s material.

heat_penetration_number: Mean heat penetration number of the profile material.

height: Maximum height (y-direction).

hydrostatic_stress: Hydrodynamic Stress.

latitudinal_contact_friction: Contact friction between profile and tooling in width (z) direction.

latitudinal_strain: Logarithmic normal strain (principal strain) in width (z) direction.

latitudinal_stress: Normal stress (principal stress) in width (z) direction. Positive means tension, negative pressure.

length: Length of the workpiece (x-direction).

longitudinal_contact_friction: Contact friction between profile and tooling in rolling (x) direction.

longitudinal_strain: Logarithmic normal strain (principal strain) in rolling (x) direction.

longitudinal_stress: Normal stress (principal stress) in rolling (x) direction. Positive means tension, negative pressure.

martensite_finish_temperature: Martensite finish temperature for the given chemical composition of the profile.

martensite_start_temperature: Martensite start temperature for the given chemical composition of the profile.

mass_per_meter: Weight of one meter of the profile.

material: String or sequence of strings classifying the material of the profile. Can be used by material databases to retrieve respective data.

microstructure_composition: Phase resp. constituent composition of the profile’s material as dict of constituent names to volume fractions (0 to 1).

normal_stress: Normal Stress acting between profile and tooling.

poissons_ratio: Mean Poisson’s ratio of the profile material.

scale_thickness: Thickness of the scale covering the profile.

specific_heat_capacity: Mean specific heat capacity of the profile material.

strain: Mean equivalent strain of the profile cross-section.

surface_temperature: Mean temperature of the profile surface.

t: Temporal coordinate.

technologically_orientated_cross_section: Shape of the profile’s cross-section with technologically correct orientation.

temperature: Mean temperature of the profile cross-section.

thermal_conductivity: Mean thermal conductivity of the profile material.

thermal_diffusivity: Mean thermal diffusivity of the profile material.

property transport: Transport: Reference to the transport. Alias for self.unit.parent

velocity: Mean material flow velocity.

vickers_hardness: Vickers hardness of the cold profile material.

width: Maximum width (z-direction).

x: Spacial coordinate in rolling direction.

duration: Time needed to pass the unit (temporal extent).

energy_consumption: Energy consumption of this unit per produced mass.

iteration_precision: Precision of iteration break in solution loop.

length: The length of the unit (spacial extent in rolling direction).

mass_flux: Flux/throughput of mass through this unit.

max_iteration_count: Count of maximum solution loop iterations before aborting.

post_processors: list[Callable[[Self], Unit]] = []: List of unit factories to use as post-processors to modify the out-profile returned by solve.

power: Total energy demand per time of this unit.

pre_processors: list[Callable[[Self], Unit]] = []: List of unit factories to use as pre-processors to modify the in-profile given to solve.

surface_area: Surface area of workpiece within the unit.

property transport: Transport: Reference to the transport. Alias for self.parent.

velocity: Mean velocity of material flow.

volume: Volume of workpiece material within the unit.

volume_flux: Flux/throughput of volume through this unit.

class InProfile(unit: Unit, template: Profile)

Represents an incoming profile of a transport unit.

Using the __init__ is not recommended, use one of the factory class methods instead.

ae1_temperature: Temperature at which austenite starts to transform into a mixture of ferrite and cementite during cooling.

ae3_temperature: Temperature above which the transformation of austenite into a mixture of ferrite and cementite is complete during cooling.

altitudinal_strain: Logarithmic normal strain (principal strain) in thickness (y) direction.

altitudinal_stress: Normal stress (principal stress) in thickness (y) direction. Positive means tension, negative pressure.

astm_grain_size_number: ASTM grain size number, assuming grains are round.

bainite_finish_temperature: Bainite finish temperature for the given chemical composition of the profile.

bainite_start_temperature: Bainite start temperature for the given chemical composition of the profile.

chemical_composition: Chemical composition of the profile’s material as dict of element symbols to atom fractions (0 to 1). The key of the dict should correspond to the nomenclature of the TDB (Thermodynamic Data Base file). This means only capital letters and abbreviations according to the periodic table of the elements.

classifiers: Classifiers of the profile’s shape’s type.

core_temperature: Temperature of the profile core.

cross_section: Shape of the profile’s cross-section.

deformation_activation_energy: Activation energy of deformation especially for calculation of Zener-Holomon-Parameter.

density: Mean density (specific weight) of the profile material.

elastic_modulus: Mean elastic modulus of the profile material.

equivalent_height: Height of the equivalent rectangle.

equivalent_radius: Radius of a equivalent round.

equivalent_rectangle: Equivalent rectangle geometry for use with equivalent flat pass models.

equivalent_stress: Equivalent Stress.

equivalent_width: Width of the equivalent rectangle.

flow_stress: Mean flow stress of the profile material.

flow_stress_function: Flow stress depended on strain, strain-rate and temperature

grain_size: Average grain size of the profile’s material.

heat_penetration_number: Mean heat penetration number of the profile material.

height: Maximum height (y-direction).

hydrostatic_stress: Hydrodynamic Stress.

latitudinal_contact_friction: Contact friction between profile and tooling in width (z) direction.

latitudinal_strain: Logarithmic normal strain (principal strain) in width (z) direction.

latitudinal_stress: Normal stress (principal stress) in width (z) direction. Positive means tension, negative pressure.

length: Length of the workpiece (x-direction).

longitudinal_contact_friction: Contact friction between profile and tooling in rolling (x) direction.

longitudinal_strain: Logarithmic normal strain (principal strain) in rolling (x) direction.

longitudinal_stress: Normal stress (principal stress) in rolling (x) direction. Positive means tension, negative pressure.

martensite_finish_temperature: Martensite finish temperature for the given chemical composition of the profile.

martensite_start_temperature: Martensite start temperature for the given chemical composition of the profile.

mass_per_meter: Weight of one meter of the profile.

material: String or sequence of strings classifying the material of the profile. Can be used by material databases to retrieve respective data.

microstructure_composition: Phase resp. constituent composition of the profile’s material as dict of constituent names to volume fractions (0 to 1).

normal_stress: Normal Stress acting between profile and tooling.

poissons_ratio: Mean Poisson’s ratio of the profile material.

scale_thickness: Thickness of the scale covering the profile.

specific_heat_capacity: Mean specific heat capacity of the profile material.

strain: Mean equivalent strain of the profile cross-section.

surface_temperature: Mean temperature of the profile surface.

t: Temporal coordinate.

technologically_orientated_cross_section: Shape of the profile’s cross-section with technologically correct orientation.

temperature: Mean temperature of the profile cross-section.

thermal_conductivity: Mean thermal conductivity of the profile material.

thermal_diffusivity: Mean thermal diffusivity of the profile material.

velocity: Mean material flow velocity.

vickers_hardness: Vickers hardness of the cold profile material.

width: Maximum width (z-direction).

x: Spacial coordinate in rolling direction.

class OutProfile(unit: Unit, template: Profile)

Represents an outgoing profile of a transport unit.

Using the __init__ is not recommended, use one of the factory class methods instead.

ae1_temperature: Temperature at which austenite starts to transform into a mixture of ferrite and cementite during cooling.

ae3_temperature: Temperature above which the transformation of austenite into a mixture of ferrite and cementite is complete during cooling.

altitudinal_strain: Logarithmic normal strain (principal strain) in thickness (y) direction.

altitudinal_stress: Normal stress (principal stress) in thickness (y) direction. Positive means tension, negative pressure.

astm_grain_size_number: ASTM grain size number, assuming grains are round.

bainite_finish_temperature: Bainite finish temperature for the given chemical composition of the profile.

bainite_start_temperature: Bainite start temperature for the given chemical composition of the profile.

chemical_composition: Chemical composition of the profile’s material as dict of element symbols to atom fractions (0 to 1). The key of the dict should correspond to the nomenclature of the TDB (Thermodynamic Data Base file). This means only capital letters and abbreviations according to the periodic table of the elements.

classifiers: Classifiers of the profile’s shape’s type.

core_temperature: Temperature of the profile core.

cross_section: Shape of the profile’s cross-section.

deformation_activation_energy: Activation energy of deformation especially for calculation of Zener-Holomon-Parameter.

density: Mean density (specific weight) of the profile material.

elastic_modulus: Mean elastic modulus of the profile material.

equivalent_height: Height of the equivalent rectangle.

equivalent_radius: Radius of a equivalent round.

equivalent_rectangle: Equivalent rectangle geometry for use with equivalent flat pass models.

equivalent_stress: Equivalent Stress.

equivalent_width: Width of the equivalent rectangle.

flow_stress: Mean flow stress of the profile material.

flow_stress_function: Flow stress depended on strain, strain-rate and temperature

grain_size: Average grain size of the profile’s material.

heat_penetration_number: Mean heat penetration number of the profile material.

height: Maximum height (y-direction).

hydrostatic_stress: Hydrodynamic Stress.

latitudinal_contact_friction: Contact friction between profile and tooling in width (z) direction.

latitudinal_strain: Logarithmic normal strain (principal strain) in width (z) direction.

latitudinal_stress: Normal stress (principal stress) in width (z) direction. Positive means tension, negative pressure.

length: Length of the workpiece (x-direction).

longitudinal_contact_friction: Contact friction between profile and tooling in rolling (x) direction.

longitudinal_strain: Logarithmic normal strain (principal strain) in rolling (x) direction.

longitudinal_stress: Normal stress (principal stress) in rolling (x) direction. Positive means tension, negative pressure.

martensite_finish_temperature: Martensite finish temperature for the given chemical composition of the profile.

martensite_start_temperature: Martensite start temperature for the given chemical composition of the profile.

mass_per_meter: Weight of one meter of the profile.

material: String or sequence of strings classifying the material of the profile. Can be used by material databases to retrieve respective data.

microstructure_composition: Phase resp. constituent composition of the profile’s material as dict of constituent names to volume fractions (0 to 1).

normal_stress: Normal Stress acting between profile and tooling.

poissons_ratio: Mean Poisson’s ratio of the profile material.

scale_thickness: Thickness of the scale covering the profile.

specific_heat_capacity: Mean specific heat capacity of the profile material.

strain: Mean equivalent strain of the profile cross-section.

surface_temperature: Mean temperature of the profile surface.

t: Temporal coordinate.

technologically_orientated_cross_section: Shape of the profile’s cross-section with technologically correct orientation.

temperature: Mean temperature of the profile cross-section.

thermal_conductivity: Mean thermal conductivity of the profile material.

thermal_diffusivity: Mean thermal diffusivity of the profile material.

velocity: Mean material flow velocity.

vickers_hardness: Vickers hardness of the cold profile material.

width: Maximum width (z-direction).

x: Spacial coordinate in rolling direction.

class Profile(unit: Unit, template: Profile)

Represents a profile in context of a transport unit.

Using the __init__ is not recommended, use one of the factory class methods instead.

ae1_temperature: Temperature at which austenite starts to transform into a mixture of ferrite and cementite during cooling.

ae3_temperature: Temperature above which the transformation of austenite into a mixture of ferrite and cementite is complete during cooling.

altitudinal_strain: Logarithmic normal strain (principal strain) in thickness (y) direction.

altitudinal_stress: Normal stress (principal stress) in thickness (y) direction. Positive means tension, negative pressure.

astm_grain_size_number: ASTM grain size number, assuming grains are round.

bainite_finish_temperature: Bainite finish temperature for the given chemical composition of the profile.

bainite_start_temperature: Bainite start temperature for the given chemical composition of the profile.

chemical_composition: Chemical composition of the profile’s material as dict of element symbols to atom fractions (0 to 1). The key of the dict should correspond to the nomenclature of the TDB (Thermodynamic Data Base file). This means only capital letters and abbreviations according to the periodic table of the elements.

classifiers: Classifiers of the profile’s shape’s type.

core_temperature: Temperature of the profile core.

cross_section: Shape of the profile’s cross-section.

deformation_activation_energy: Activation energy of deformation especially for calculation of Zener-Holomon-Parameter.

density: Mean density (specific weight) of the profile material.

elastic_modulus: Mean elastic modulus of the profile material.

equivalent_height: Height of the equivalent rectangle.

equivalent_radius: Radius of a equivalent round.

equivalent_rectangle: Equivalent rectangle geometry for use with equivalent flat pass models.

equivalent_stress: Equivalent Stress.

equivalent_width: Width of the equivalent rectangle.

flow_stress: Mean flow stress of the profile material.

flow_stress_function: Flow stress depended on strain, strain-rate and temperature

grain_size: Average grain size of the profile’s material.

heat_penetration_number: Mean heat penetration number of the profile material.

height: Maximum height (y-direction).

hydrostatic_stress: Hydrodynamic Stress.

latitudinal_contact_friction: Contact friction between profile and tooling in width (z) direction.

latitudinal_strain: Logarithmic normal strain (principal strain) in width (z) direction.

latitudinal_stress: Normal stress (principal stress) in width (z) direction. Positive means tension, negative pressure.

length: Length of the workpiece (x-direction).

longitudinal_contact_friction: Contact friction between profile and tooling in rolling (x) direction.

longitudinal_strain: Logarithmic normal strain (principal strain) in rolling (x) direction.

longitudinal_stress: Normal stress (principal stress) in rolling (x) direction. Positive means tension, negative pressure.

martensite_finish_temperature: Martensite finish temperature for the given chemical composition of the profile.

martensite_start_temperature: Martensite start temperature for the given chemical composition of the profile.

mass_per_meter: Weight of one meter of the profile.

material: String or sequence of strings classifying the material of the profile. Can be used by material databases to retrieve respective data.

microstructure_composition: Phase resp. constituent composition of the profile’s material as dict of constituent names to volume fractions (0 to 1).

normal_stress: Normal Stress acting between profile and tooling.

poissons_ratio: Mean Poisson’s ratio of the profile material.

scale_thickness: Thickness of the scale covering the profile.

specific_heat_capacity: Mean specific heat capacity of the profile material.

strain: Mean equivalent strain of the profile cross-section.

surface_temperature: Mean temperature of the profile surface.

t: Temporal coordinate.

technologically_orientated_cross_section: Shape of the profile’s cross-section with technologically correct orientation.

temperature: Mean temperature of the profile cross-section.

thermal_conductivity: Mean thermal conductivity of the profile material.

thermal_diffusivity: Mean thermal diffusivity of the profile material.

property transport: Transport: Reference to the transport. Alias for self.unit.

velocity: Mean material flow velocity.

vickers_hardness: Vickers hardness of the cold profile material.

width: Maximum width (z-direction).

x: Spacial coordinate in rolling direction.

disk_element_count: Number of intermediate profiles to create during unit solution (in and out profiles are not counted within).

property disk_elements: List[DiskElement]: A list of disk elements used to subdivide this unit.

duration: Time needed to pass the unit (temporal extent).

energy_consumption: Energy consumption of this unit per produced mass.

environment_temperature: Temperature of the surrounding atmosphere.

iteration_precision: Precision of iteration break in solution loop.

length: The length of the unit (spacial extent in rolling direction).

mass_flux: Flux/throughput of mass through this unit.

max_iteration_count: Count of maximum solution loop iterations before aborting.

post_processors: list[Callable[[Self], Unit]] = []: List of unit factories to use as post-processors to modify the out-profile returned by solve.

power: Total energy demand per time of this unit.

pre_processors: list[Callable[[Self], Unit]] = []: List of unit factories to use as pre-processors to modify the in-profile given to solve.

surface_area: Surface area of workpiece within the unit.

velocity: Mean velocity of material flow.

volume: Volume of workpiece material within the unit.

volume_flux: Flux/throughput of volume through this unit.