chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions...

Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and...

Birch–Murnaghan isothermal equation of state, published in 1947 by Albert Francis Birch of Harvard, is a relationship between the volume of a body and the pressure...

cosmology, the equation of state of a perfect fluid is characterized by a dimensionless number w {\displaystyle w} , equal to the ratio of its pressure...

thermodynamics, the Redlich–Kwong equation of state is an empirical, algebraic equation that relates temperature, pressure, and volume of gases. It is generally...

The van der Waals equation, named for its originator, the Dutch physicist Johannes Diderik van der Waals, is an equation of state that extends the ideal...

Murnaghan equation of state is a relationship between the volume of a body and the pressure to which it is subjected. This is one of many state equations that...

The Navier–Stokes equations (/nævˈjeɪ stoʊks/ nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances...

called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many...

(found from the equation of state), and c {\displaystyle c}  is the speed of light. Using the TOV equations and an equation of state, a mass-radius curve...

In physics, the acoustic wave equation is a second-order partial differential equation that governs the propagation of acoustic waves through a material...

model of thermodynamic equations of state. It expresses the pressure P of a gas in local equilibrium as a power series of the density. This equation may...

{V_{\text{m}}}{V_{\text{m,c}}}},\ T_{r}={\frac {T}{T_{\text{c}}}}\ } the equation of state can be written in the reduced form: p r = 3 T r V r − b ′ − 1 b ′...

connects the equation of state to one or more thermodynamic energy properties. Here we refer to it as a "thermodynamic equation of state." The fundamental...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

In fluid dynamics, the Euler equations are a set of partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard...

The Mie–Grüneisen equation of state is an equation of state that relates the pressure and volume of a solid at a given temperature. It is used to determine...

The Schrödinger equation is a partial differential equation that governs the wave function of a quantum-mechanical system.: 1–2  Its discovery was a significant...

Friedmann equations, also known as the Friedmann–Lemaître (FL) equations, are a set of equations in physical cosmology that govern the expansion of space...

A Bellman equation, named after Richard E. Bellman, is a necessary condition for optimality associated with the mathematical optimization method known...

fluid mechanics, the Tait equation is an equation of state, used to relate liquid density to hydrostatic pressure. The equation was originally published...

with an equation of state for the considered material. For an ideal gas, evaluating the partial derivatives above according to the equation of state, where...

who derived Bernoulli's equation in its usual form. Bernoulli's principle can be derived from the principle of conservation of energy. This states that...

determination of molecular fields. —II. From the equation of state of a gas". Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical...

Solutions of the Einstein field equations are metrics of spacetimes that result from solving the Einstein field equations (EFE) of general relativity....

and to demonstrate the physical consequences of their size through the van der Waals equation of state. The van der Waals volume, Vw, also called the...

In algebra, a cubic equation in one variable is an equation of the form a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} in which a is...

ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics. The requirement of zero interaction can often be...

An equation of state introduced by R. H. Cole p = B [ ( ρ ρ 0 ) γ − 1 ] , {\displaystyle p=B\left[\left({\frac {\rho }{\rho _{0}}}\right)^{\gamma }-1\right]...

combination of the Soave–Redlich–Kwong equation of state with a mixing rule whose parameters are determined by the UNIFAC method. The equation of state of Soave...