Quantity dimensions

Defines immutable objects representing SI base and derived physical dimensions.

This module provides globally defined Dimensions instances corresponding to the seven SI base quantities (e.g., mass, time) and many commonly used derived quantities (e.g., force, energy, pressure). These dimension definitions are used internally for dimensional analysis, quantity construction, and validation.

Each dimension is represented as a Dimensions object, which captures the dimensional exponents of base quantities such as mass, length, and time.

This module is not intended for direct modification at runtime. All objects are statically defined and immutable.

Examples

>>> from ansys.units.dimensions import Dimensions
>>> from ansys.units.quantity_dimensions import QuantityDimensions

>>> force = QuantityDimensions.FORCE
>>> pressure = QuantityDimensions.PRESSURE
>>> pressure == force / QuantityDimensions.AREA
True

class ansys.units.quantity_dimensions.QuantityDimensions

Bases: object

Defines immutable dimension objects for standard physical quantities.

This class encapsulates SI base dimensions (e.g., MASS, TIME) and commonly used derived dimensions (e.g., FORCE, PRESSURE, ENERGY), using Dimensions instances.

These objects support arithmetic operations (multiplication, division, exponentiation) to enable dimensional composition and analysis.

All attributes are class-level constants and should be treated as immutable.

Examples

>>> QuantityDimensions.VELOCITY
Dimensions(dimensions={BaseDimensions.LENGTH: 1.0, BaseDimensions.TIME: -1.0})

ABSOLUTE_PRESSURE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

ABSORBANCE = {}

ABSORBED_DOSE_RATE = {'LENGTH': 2.0, 'TIME': -3.0}

ACCELERATION = {'LENGTH': 1.0, 'TIME': -2.0}

ACCELERATION_MAGNITUDE = {'LENGTH': 1.0, 'TIME': -2.0}

ACCELERATION_X = {'LENGTH': 1.0, 'TIME': -2.0}

ACCELERATION_Y = {'LENGTH': 1.0, 'TIME': -2.0}

ACCELERATION_Z = {'LENGTH': 1.0, 'TIME': -2.0}

ACOUSTICAL_ABSORPTION = {}

ACTION = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -1.0}

ANGLE = {'ANGLE': 1.0}

ANGULAR_ACCELERATION = {'TIME': -2.0}

ANGULAR_MOMENTUM = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -1.0}

ANGULAR_MOMENTUM_MAGNITUDE = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -1.0}

ANGULAR_MOMENTUM_X = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -1.0}

ANGULAR_MOMENTUM_Y = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -1.0}

ANGULAR_MOMENTUM_Z = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -1.0}

ANGULAR_VELOCITY = {'TIME': -1.0}

AREA = {'LENGTH': 2.0}

AREA_DENSITY = {'MASS': 1.0, 'LENGTH': -2.0}

ATOMIC_MASS = {'MASS': 1.0}

ATOMIC_NUMBER = {}

ATTENUATION_COEFFICIENT = {'LENGTH': -1.0}

AXIAL_VELOCITY = {'LENGTH': 1.0, 'TIME': -1.0}

BIREFRINGENCE = {}

BULK_MODULUS = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

CAPACITANCE = {'MASS': -1.0, 'LENGTH': -2.0, 'TIME': 4.0, 'CURRENT': 2.0}

CATALYTIC_EFFICIENCY = {'LENGTH': 3.0, 'CHEMICAL_AMOUNT': -1.0, 'TIME': -1.0}

CELL_REYNOLDS_NUMBER = {}

CHEMICAL_AMOUNT = {'CHEMICAL_AMOUNT': 1.0}

COEFFICIENT_OF_RESTITUTION = {}

COLOR = {}

COMPRESSIBILITY = {'MASS': -1.0, 'LENGTH': 1.0, 'TIME': 2.0}

COMPRESSIVE_STRENGTH = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

CONVECTIVE_COURANT_NUMBER = {}

CORROSION_RESISTANCE = {}

CREEP = {'TIME': -1.0}

CURIE_TEMPERATURE = {'TEMPERATURE': 1.0}

CURRENT = {'CURRENT': 1.0}

DENSITY = {'MASS': 1.0, 'LENGTH': -3.0}

DIAMAGNETISM = {}

DIELECTRIC_CONSTANT = {}

DIELECTRIC_STRENGTH = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -3.0, 'CURRENT': -1.0}

DUCTILITY = {}

DURABILITY = {}

DYNAMIC_PRESSURE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

DYNAMIC_VISCOSITY = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -1.0}

EFFECTIVE_PRANDTL_NUMBER = {}

EFFECTIVE_THERMAL_CONDUCTIVITY = {'LENGTH': 1.0, 'MASS': 1.0, 'TIME': -3.0, 'TEMPERATURE': -1.0}

EFFECTIVE_VISCOSITY = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -1.0}

ELASTICITY = {}

ELECTRICAL_CAPACITANCE = {'MASS': -1.0, 'LENGTH': -2.0, 'TIME': 4.0, 'CURRENT': 2.0}

ELECTRICAL_CONDUCTANCE = {'MASS': -1.0, 'LENGTH': -2.0, 'TIME': 3.0, 'CURRENT': 2.0}

ELECTRICAL_CONDUCTIVITY = {'MASS': -1.0, 'LENGTH': -3.0, 'TIME': 3.0, 'CURRENT': 2.0}

ELECTRICAL_IMPEDANCE = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -3.0, 'CURRENT': -2.0}

ELECTRICAL_INDUCTANCE = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -2.0, 'CURRENT': -2.0}

ELECTRICAL_POTENTIAL = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -3.0, 'CURRENT': -1.0}

ELECTRICAL_REACTANCE = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -3.0, 'CURRENT': -2.0}

ELECTRICAL_RESISTANCE = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -3.0, 'CURRENT': -2.0}

ELECTRICAL_RESISTIVITY = {'MASS': 1.0, 'LENGTH': 3.0, 'TIME': -3.0, 'CURRENT': -2.0}

ELECTRIC_CHARGE = {'TIME': 1.0, 'CURRENT': 1.0}

ELECTRIC_SUSCEPTIBILITY = {}

ELECTROCALORIC_COEFFICIENT = {'TEMPERATURE': 1.0, 'MASS': -1.0, 'LENGTH': -2.0, 'TIME': 3.0, 'CURRENT': 1.0}

ELECTROSTRICTION = {}

ELECTRO_OPTIC_EFFECT = {}

EMISSIVITY = {}

ENERGY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

ENERGY_DENSITY = {'LENGTH': -1.0, 'MASS': 1.0, 'TIME': -2.0}

ENERGY_FLUX_DENSITY = {'MASS': 1.0, 'TIME': -3.0}

ENTHALPY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

ENTROPY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0, 'TEMPERATURE': -1.0}

FATIGUE_LIMIT = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

FLEXURAL_MODULUS = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

FLEXURAL_STRENGTH = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

FORCE = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -2.0}

FORCE_MAGNITUDE = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -2.0}

FORCE_X = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -2.0}

FORCE_Y = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -2.0}

FORCE_Z = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -2.0}

FRACTURE_TOUGHNESS = {'MASS': 1.0, 'TIME': -2.0}

FREQUENCY = {'TIME': -1.0}

FREQUENCY_DRIFT = {'TIME': -2.0}

FRICTION_COEFFICIENT = {}

FUEL_EFFICIENCY = {'LENGTH': -2.0}

HALF_LIFE = {'TIME': 1.0}

HALL_COEFFICIENT = {'LENGTH': 3.0, 'CURRENT': -1.0, 'TIME': -1.0}

HARDNESS = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

HEAT_CAPACITY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0, 'TEMPERATURE': -1.0}

HEAT_FLUX_DENSITY = {'MASS': 1.0, 'TIME': -3.0}

HEAT_OF_VAPORIZATION = {'LENGTH': 2.0, 'TIME': -2.0}

HYGROSCOPY = {}

HYSTERESIS = {}

ILLUMINANCE = {'LIGHT': 1.0, 'SOLID_ANGLE': 1.0, 'LENGTH': -2.0}

INTERNAL_ENERGY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

JERK = {'LENGTH': 1.0, 'TIME': -3.0}

KINEMATIC_VISCOSITY = {'LENGTH': 2.0, 'TIME': -1.0}

LENGTH = {'LENGTH': 1.0}

LIGHT = {'LIGHT': 1.0}

LINEAR_MASS_DENSITY = {'MASS': 1.0, 'LENGTH': -1.0}

LUMINANCE = {'LIGHT': 1.0, 'LENGTH': -2.0}

LUMINOSITY = {'LIGHT': 1.0, 'SOLID_ANGLE': 1.0}

LUMINOUS_EXPOSURE = {'LIGHT': 1.0, 'SOLID_ANGLE': 1.0, 'LENGTH': -2.0, 'TIME': 1.0}

LUMINOUS_FLUX = {'LIGHT': 1.0, 'SOLID_ANGLE': 1.0}

MAGNETIC_FLUX = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -2.0, 'CURRENT': -1.0}

MAGNETIC_INDUCTION = {'MASS': 1.0, 'TIME': -2.0, 'CURRENT': -1.0}

MAGNETIC_PERMEABILITY = {'LENGTH': 1.0, 'MASS': 1.0, 'TIME': -2.0, 'CURRENT': -2.0}

MAGNETIC_VECTOR_POTENTIAL = {'LENGTH': 1.0, 'MASS': 1.0, 'TIME': -2.0, 'CURRENT': -1.0}

MAGNETOCALORIC_COEFFICIENT = {'TEMPERATURE': 1.0, 'MASS': -1.0, 'TIME': 2.0, 'CURRENT': 1.0}

MAGNETOELECTRIC_POLARIZABILITY = {'LENGTH': -1.0, 'TIME': -1.0}

MAGNETORESISTANCE = {}

MAGNETOSTRICTION = {}

MAGNETOTHERMOELECTRIC_POWER = {'LENGTH': 2.0, 'TIME': -1.0, 'TEMPERATURE': -1.0}

MALLEABILITY = {}

MASS = {'MASS': 1.0}

MASS_CONTROL = {'MASS': 1.0, 'TIME': -3.0}

MASS_DIFFUSIVITY = {'LENGTH': 2.0, 'TIME': -1.0}

MASS_FLOW_RATE = {'MASS': 1.0, 'TIME': -1.0}

MAXIMUM_ENERGY_PRODUCT = {'LENGTH': -1.0, 'MASS': 1.0, 'TIME': -2.0}

MELTING_POINT = {'TEMPERATURE': 1.0}

MESH_VELOCITY = {'LENGTH': 1.0, 'TIME': -1.0}

MESH_VELOCITY_MAGNITUDE = {'LENGTH': 1.0, 'TIME': -1.0}

MESH_VELOCITY_X = {'LENGTH': 1.0, 'TIME': -1.0}

MESH_VELOCITY_Y = {'LENGTH': 1.0, 'TIME': -1.0}

MESH_VELOCITY_Z = {'LENGTH': 1.0, 'TIME': -1.0}

MOLALITY = {'CHEMICAL_AMOUNT': 1.0, 'MASS': -1.0}

MOLARITY = {'CHEMICAL_AMOUNT': 1.0, 'LENGTH': -3.0}

MOLAR_ENERGY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0, 'CHEMICAL_AMOUNT': -1.0}

MOLAR_ENTROPY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0, 'TEMPERATURE': -1.0, 'CHEMICAL_AMOUNT': -1.0}

MOLAR_HEAT_CAPACITY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0, 'TEMPERATURE': -1.0, 'CHEMICAL_AMOUNT': -1.0}

MOLAR_MASS = {'MASS': 1.0, 'CHEMICAL_AMOUNT': -1.0}

MOLAR_VOLUME = {'LENGTH': 3.0, 'CHEMICAL_AMOUNT': -1.0}

MOMENTUM = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -1.0}

MOMENTUM_MAGNITUDE = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -1.0}

MOMENTUM_X = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -1.0}

MOMENTUM_Y = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -1.0}

MOMENTUM_Z = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -1.0}

MOMENT_OF_INERTIA = {'MASS': 1.0, 'LENGTH': 2.0}

NERNST_COEFFICIENT = {'LENGTH': 2.0, 'TIME': -1.0, 'TEMPERATURE': -1.0}

NEUTRON_CROSS_SECTION = {'LENGTH': 2.0}

NORMALIZED_Q_CRITERION = {}

OPTICAL_ACTIVITY = {'LENGTH': 1.0, 'MASS': -1.0}

PERMEABILITY = {'LENGTH': 1.0, 'MASS': 1.0, 'TIME': -2.0, 'CURRENT': -2.0}

PERMITTIVITY = {'MASS': -1.0, 'LENGTH': -3.0, 'TIME': 4.0, 'CURRENT': 2.0}

PH = {}

PHOTOELASTICITY = {'MASS': -1.0, 'LENGTH': 1.0, 'TIME': 2.0}

PHOTOSENSITIVITY = {}

PIEZOELECTRIC_CONSTANTS = {'LENGTH': 2.0, 'TIME': -1.0, 'CURRENT': -1.0}

PIEZOMAGNETISM = {'CURRENT': -1.0, 'LENGTH': 1.0}

PLASTICITY = {}

POISSON_RATIO = {}

POSITION = {'LENGTH': 1.0}

POSITION_MAGNITUDE = {'LENGTH': 1.0}

POSITION_X = {'LENGTH': 1.0}

POSITION_Y = {'LENGTH': 1.0}

POSITION_Z = {'LENGTH': 1.0}

POWER = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -3.0}

PRANDTL_NUMBER = {}

PRESSURE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

PRESSURE_COEFFICIENT = {}

PRODUCTION_OF_TURBULENT_KINETIC_ENERGY = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -3.0}

PYROELECTRICITY = {'CURRENT': 1.0, 'LENGTH': -2.0, 'TEMPERATURE': -1.0}

PYROMAGNETIC_COEFFICIENT = {'MASS': 1.0, 'TIME': -2.0, 'CURRENT': -1.0, 'TEMPERATURE': -1.0}

Q_CRITERION = {'TIME': -2.0}

RADIAL_VELOCITY = {'LENGTH': 1.0, 'TIME': -1.0}

RADIANCE = {'MASS': 1.0, 'TIME': -3.0, 'SOLID_ANGLE': -1.0}

RADIANT_EXPOSURE = {'MASS': 1.0, 'TIME': -2.0}

RADIANT_INTENSITY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -3.0, 'SOLID_ANGLE': -1.0}

REACTIVITY = {}

REFLECTIVITY = {}

REFRACTIVE_INDEX = {}

RELATIVE_ATOMIC_MASS = {}

RESILIENCE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

SCATTERING = {}

SEEBECK_COEFFICIENT = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -3.0, 'CURRENT': -1.0, 'TEMPERATURE': -1.0}

SHEAR_MODULUS = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

SHEAR_STRENGTH = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

SKIN_FRICTION_COEFFICIENT = {}

SLIP = {}

SNAP = {'LENGTH': 1.0, 'TIME': -4.0}

SOLID_ANGLE = {'SOLID_ANGLE': 1.0}

SOUND_REFLECTION = {}

SOUND_TRANSFER = {}

SPECIFIC_ACTIVITY = {'MASS': -1.0, 'TIME': -1.0}

SPECIFIC_ANGULAR_MOMENTUM = {'LENGTH': 2.0, 'TIME': -1.0}

SPECIFIC_DISSIPATION_RATE = {'TIME': -1.0}

SPECIFIC_ENERGY = {'LENGTH': 2.0, 'TIME': -2.0}

SPECIFIC_ENTHALPY = {'LENGTH': 2.0, 'TIME': -2.0}

SPECIFIC_ENTROPY = {'LENGTH': 2.0, 'TIME': -2.0, 'TEMPERATURE': -1.0}

SPECIFIC_HEAT_CAPACITY = {'LENGTH': 2.0, 'TIME': -2.0, 'TEMPERATURE': -1.0}

SPECIFIC_INTERNAL_ENERGY = {'LENGTH': 2.0, 'TIME': -2.0}

SPECIFIC_INTERNAL_SURFACE_AREA = {'LENGTH': -1.0}

SPECIFIC_MODULUS = {'LENGTH': 2.0, 'TIME': -2.0}

SPECIFIC_STRENGTH = {'LENGTH': 2.0, 'TIME': -2.0}

SPECIFIC_TOTAL_ENERGY = {'LENGTH': 2.0, 'TIME': -2.0}

SPECIFIC_TOTAL_ENTHALPY = {'LENGTH': 2.0, 'TIME': -2.0}

SPECIFIC_VOLUME = {'LENGTH': 3.0, 'MASS': -1.0}

SPECIFIC_WEIGHT = {'MASS': 1.0, 'LENGTH': -2.0, 'TIME': -2.0}

SPECTRAL_INTENSITY = {'LENGTH': 1.0, 'MASS': 1.0, 'TIME': -3.0, 'SOLID_ANGLE': -1.0}

SPECTRAL_IRRADIANCE = {'LENGTH': -1.0, 'MASS': 1.0, 'TIME': -3.0}

SPECTRAL_POWER = {'LENGTH': 1.0, 'MASS': 1.0, 'TIME': -3.0}

SPEED_OF_SOUND = {'LENGTH': 1.0, 'TIME': -1.0}

SPIN_HALL_EFFECT = {'MASS': 1.0, 'LENGTH': 2.0, 'TIME': -3.0, 'CURRENT': -2.0}

STANDARD_ATOMIC_WEIGHT = {}

STATIC_PRESSURE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

STRAIN_RATE = {'TIME': -1.0}

STRESS = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

SURFACE_ENERGY = {'MASS': 1.0, 'TIME': -2.0}

SURFACE_HEAT_FLUX = {'MASS': 1.0, 'TIME': -3.0}

SURFACE_HEAT_TRANSFER_COEFFICIENT = {'MASS': 1.0, 'TIME': -3.0, 'TEMPERATURE': -1.0}

SURFACE_NUSSELT_NUMBER = {}

SURFACE_ROUGHNESS = {'LENGTH': 1.0}

SURFACE_STANTON_NUMBER = {}

SURFACE_TENSION = {'MASS': 1.0, 'TIME': -2.0}

TANGENTIAL_VELOCITY = {'LENGTH': 1.0, 'TIME': -1.0}

TEMPERATURE = {'TEMPERATURE': 1.0}

TEMPERATURE_DIFFERENCE = {'TEMPERATURE_DIFFERENCE': 1.0}

TEMPERATURE_GRADIENT = {'TEMPERATURE': 1.0, 'LENGTH': -1.0}

TENSILE_STRENGTH = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

THERMAL_CONDUCTIVITY = {'LENGTH': 1.0, 'MASS': 1.0, 'TIME': -3.0, 'TEMPERATURE': -1.0}

THERMAL_DIFFUSIVITY = {'LENGTH': 2.0, 'TIME': -1.0}

THERMAL_EXPANSION_COEFFICIENT = {'TEMPERATURE': -1.0}

THERMAL_RESISTANCE = {'TEMPERATURE': 1.0, 'LENGTH': -2.0, 'MASS': -1.0, 'TIME': 3.0}

THIRD_ORDER_ELASTICITY = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

TIME = {'TIME': 1.0}

TORQUE = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

TORQUE_MAGNITUDE = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

TORQUE_X = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

TORQUE_Y = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

TORQUE_Z = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

TOTAL_ENERGY = {'LENGTH': 2.0, 'MASS': 1.0, 'TIME': -2.0}

TOTAL_PRESSURE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

TOTAL_TEMPERATURE = {'TEMPERATURE': 1.0}

TOUGHNESS = {'LENGTH': -1.0, 'MASS': 1.0, 'TIME': -2.0}

TRANSMITTANCE = {}

TURBULENT_DISSIPATION_RATE = {'LENGTH': 2.0, 'TIME': 3.0}

TURBULENT_INTENSITY = {}

TURBULENT_KINETIC_ENERGY = {'LENGTH': 2.0, 'TIME': -2.0}

TURBULENT_REYNOLDS_NUMBER = {}

TURBULENT_VISCOSITY = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -1.0}

TURBULENT_VISCOSITY_RATIO = {}

VAPOR_PRESSURE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

VELOCITY = {'LENGTH': 1.0, 'TIME': -1.0}

VELOCITY_MAGNITUDE = {'LENGTH': 1.0, 'TIME': -1.0}

VELOCITY_X = {'LENGTH': 1.0, 'TIME': -1.0}

VELOCITY_Y = {'LENGTH': 1.0, 'TIME': -1.0}

VELOCITY_Z = {'LENGTH': 1.0, 'TIME': -1.0}

VISCOSITY = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -1.0}

VOLUME = {'LENGTH': 3.0}

VOLUMETRIC_FLOW = {'LENGTH': 3.0, 'TIME': -1.0}

VORTICITY = {'TIME': -1.0}

VORTICITY_MAGNITUDE = {'TIME': -1.0}

VORTICITY_X = {'TIME': -1.0}

VORTICITY_Y = {'TIME': -1.0}

VORTICITY_Z = {'TIME': -1.0}

WALL_ADJACENT_HEAT_TRANSFER_COEFFICIENT = {'MASS': 1.0, 'TIME': -3.0, 'TEMPERATURE': -1.0}

WALL_ADJACENT_TEMPERATURE = {'TEMPERATURE': 1.0}

WALL_SHEAR_STRESS = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

WALL_SHEAR_STRESS_MAGNITUDE = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

WALL_SHEAR_STRESS_X = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

WALL_SHEAR_STRESS_Y = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

WALL_SHEAR_STRESS_Z = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

WALL_TEMPERATURE = {'TEMPERATURE': 1.0}

WALL_TEMPERATURE_THIN = {'TEMPERATURE': 1.0}

WALL_Y_PLUS = {}

WALL_Y_STAR = {}

WAVENUMBER = {'LENGTH': -1.0}

YANK = {'MASS': 1.0, 'LENGTH': 1.0, 'TIME': -3.0}

YIELD_STRENGTH = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}

YOUNG_MODULUS = {'MASS': 1.0, 'LENGTH': -1.0, 'TIME': -2.0}