Thermodynamics (Symbols)

Symbols related to thermodynamics.

temperature

Temperature is a scalar quantity that quantitatively expresses the attribute of hotness and coldness. It reflects the average kinetic energy of the vibrating and colliding atoms making up a substance.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

adiabatic_index

Adiabatic index, or heat capacity ratio, is the ratio of heat capacity at constant pressure to that at constant volume.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

heat_capacity

Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to an object to produce a unit change in its temperature.

Symbol:

C

Latex:

\(C\)

Dimension:

energy/temperature

molar_heat_capacity

Molar heat capacity is defined as the heat capacity per unit amount of substance.

Symbol:

c_m

Latex:

\(c_{m}\)

Dimension:

energy/(amount_of_substance*temperature)

thermal_expansion_coefficient

Thermal expansion coefficient describes how the size of an object changes with a change in temperature at constant pressure.

Symbol:

alpha

Latex:

\(\alpha\)

Dimension:

1/temperature

thermodynamic_compressibility

Compressibility is a measure of the instantaneous relative volume change of a fluid or solid as a response to a pressure or mean stress change.

Symbol:

beta

Latex:

\(\beta\)

Dimension:

1/pressure

thermal_resistance

Thermal resistance measures the opposition to the heat current in a material or system.

Symbol:

R

Latex:

\(R\)

Dimension:

temperature/power

thermal_conductivity

Thermal conductivity of a material is a measure of its ability to conduct heat. It is defined as the proportionality coefficient between the heat flux and the temperature gradient.

Symbol:

k

Latex:

\(k\)

Dimension:

power/(length*temperature)

thermal_insulance

The R-value, or thermal insulance, is a measure of how well a two-dimensional barrier, such as a layer of insulation, a window or a complete wall or ceiling, resists the conductive flow of heat, in the context of construction.

Symbol:

R_val

Latex:

\(R_\text{val}\)

Dimension:

area*temperature/power

compressibility_factor

The compressibility factor, also known as the compression factor or the gas deviation factor, describes the deviation of a real gas from ideal gas behavior.

Symbol:

Z

Latex:

\(Z\)

Dimension:

dimensionless

partition_function

In statistical mechanics, the partition function describes the statistical properties of a system in thermodynamic equilibrium. It plays the role of a normalization constant in microstate distributions of the system by encoding the information about how the probabilities are partitioned among the different microstates based on the specific microstate variables.

Symbol:

Z

Latex:

\(Z\)

Dimension:

dimensionless

boltzmann_factor

In statistical mechanics, the Boltzmann factor is a quantity that describes the approximate fraction of particles in the canonical ensemble.

Symbol:

f

Latex:

\(f\)

Dimension:

dimensionless

entropy

Entropy is a physical quantity most commonly associated with a state of randomness or disorder. In the approach of the classical thermodynamics, entropy is defined in terms of macroscopically measurable physical properties, such as volume, bulk mass, pressure, etc. The statistical definition defines it in terms of the statistics of the motions of the microscopic constituents of a system.

Symbol:

S

Latex:

\(S\)

Dimension:

energy/temperature

chemical_potential

The chemical potential of a species is the energy that can be absorbed or released due to a change of the particle number of the given species, e.g. in a chemical reaction or phase transition.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

energy

gibbs_energy

The Gibbs energy is a thermodynamic potential that can be used to calculate the maximum amount of work, other than pressure-volume work, that may be performed by a thermodynamically closed system at constant temperature and pressure.

Symbol:

G

Latex:

\(G\)

Dimension:

energy

enthalpy

Enthalpy is a state function defined as the sum of a thermodynamic system’s internal energy and the product of its pressure and volume, used in measurements at a constant external pressure.

Symbol:

H

Latex:

\(H\)

Dimension:

energy

helmholtz_free_energy

In thermodynamics, the Helmholtz free energy (or Helmholtz energy) is a thermodynamic potential that measures the useful work obtainable from a closed thermodynamic system at a constant temperature.

Symbol:

F

Latex:

\(F\)

Dimension:

energy

internal_energy

Internal energy is a thermodynamical state function which denotes the entire energy of a closed system of molecules or the sum of a substance’s molecular kinetic and potential energy. It excludes the potential and kinetic energies of the system as a whole and is only concerned with the energy of the molecules comprising the system.

Symbol:

U

Latex:

\(U\)

Dimension:

energy

thermal_wavelength

The thermal de Broglie wavelength is a quantity that is roughly the average de Broglie wavelength of particles in an ideal gas at the specified temperature.

Links:

  1. Thermal de Broglie wavelength.

Symbol:

lambda

Latex:

\(\lambda\)

Dimension:

length

heat

In thermodynamics, heat is energy in transfer between a thermodynamic system and its surroundings by modes other than thermodynamic work and transfer of matter.

Symbol:

Q

Latex:

\(Q\)

Dimension:

energy

thermal_efficiency

The thermal efficiency is a dimensionless performance measure of a device that uses thermal energy. A generic definition of thermal energy is the ratio of the energy benefit to the energy costs attributed to the defice.

Symbol:

eta

Latex:

\(\eta\)

Dimension:

dimensionless

statistical_weight

Statistical weight, or multiplicity, is a physical quantity denoting the number of microstates corresponding to a particular macrostate of a thermodynamic system.

Symbol:

Omega

Latex:

\(\Omega\)

Dimension:

dimensionless

relative_humidity

Relative humidity is a quantity that indicates a present state of absolute humidity relative to a maximum humidity given the same temperature.

Symbol:

phi

Latex:

\(\varphi\)

Dimension:

dimensionless

mean_free_path

Mean free path is the average distance over which a moving particle travels before substantially changing its direction or energy.

Links:

  1. Wikipedia.

Symbol:

lambda

Latex:

\(\lambda\)

Dimension:

length

sutherland_constant

The Sutherland constant is a parameter used in the Sutherland model for gaseous viscosity.

Links:

  1. Wikipedia.

Symbol:

S

Latex:

\(S\)

Dimension:

temperature

prandtl_number

The Prandtl number is a dimensionless number defined as the ratio of momentum diffusivity to thermal diffusivity.

Links:

  1. Wikipedia.

Symbol:

Pr

Latex:

\(\text{Pr}\)

Dimension:

dimensionless

grashof_number

The Grashof number approximates the ratio of the buoyancy to viscous forces acting on a fluid.

Links:

  1. Wikipedia.

Symbol:

Gr

Latex:

\(\text{Gr}\)

Dimension:

dimensionless

kinematic_viscosity

In fluid dynamics, kinematic viscosity, or momentum diffusivity, is defined as the ratio of the dynamic viscosity over the density of the fluid.

Links:

  1. Wikipedia.

Symbol:

nu

Latex:

\(\nu\)

Dimension:

area/time

thermal_diffusivity

Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.

Links:

  1. Wikipedia.

Symbol:

alpha

Latex:

\(\alpha\)

Dimension:

area/time

attractive_forces_parameter

Parameter specific to each individual substance, usually attributed to the magnitude of attractive forces between particles of the system.

Symbol:

a

Latex:

\(a\)

Dimension:

pressure*volume**2/amount_of_substance**2

excluded_volume_parameter

Parameter specific to each individual substance, usually attributed to the amount of excluded molar volume due to a finite size of particles.

Symbol:

b

Latex:

\(b\)

Dimension:

volume/amount_of_substance