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- Continuity_equation abstract "A continuity equation in physics is an equation that describes the transport of a conserved quantity. Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate conditions, a variety of physical phenomena may be described using continuity equations.Continuity equations are a stronger, local form of conservation laws. For example, it is true that "the total energy in the universe is conserved". But this statement does not immediately rule out the possibility that energy could disappear from Earth while simultaneously appearing in another galaxy. A stronger statement is that energy is locally conserved: Energy can neither be created nor destroyed, nor can it "teleport" from one place to another—it can only move by a continuous flow. A continuity equation is the mathematical way to express this kind of statement.Continuity equations more generally can include "source" and "sink" terms, which allow them to describe quantities that are often but not always conserved, such as the density of a molecular species which can be created or destroyed by chemical reactions. In an everyday example, there is a continuity equation for the number of living humans; it has a "source term" to account for people being born, and a "sink term" to account for people dying.Any continuity equation can be expressed in an "integral form" (in terms of a flux integral), which applies to any finite region, or in a "differential form" (in terms of the divergence operator) which applies at a point.Continuity equations underlie more specific transport equations such as the convection–diffusion equation, Boltzmann transport equation, and Navier–Stokes equations.".
- Continuity_equation thumbnail Continuity_eqn_open_surface.svg?width=300.
- Continuity_equation wikiPageID "410793".
- Continuity_equation wikiPageRevisionID "606546416".
- Continuity_equation hasPhotoCollection Continuity_equation.
- Continuity_equation subject Category:Conservation_equations.
- Continuity_equation subject Category:Equations_of_fluid_dynamics.
- Continuity_equation subject Category:Partial_differential_equations.
- Continuity_equation type Abstraction100002137.
- Continuity_equation type Communication100033020.
- Continuity_equation type ConservationEquations.
- Continuity_equation type DifferentialEquation106670521.
- Continuity_equation type Equation106669864.
- Continuity_equation type EquationsOfFluidDynamics.
- Continuity_equation type MathematicalStatement106732169.
- Continuity_equation type Message106598915.
- Continuity_equation type PartialDifferentialEquation106670866.
- Continuity_equation type PartialDifferentialEquations.
- Continuity_equation type Statement106722453.
- Continuity_equation comment "A continuity equation in physics is an equation that describes the transport of a conserved quantity. Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate conditions, a variety of physical phenomena may be described using continuity equations.Continuity equations are a stronger, local form of conservation laws. For example, it is true that "the total energy in the universe is conserved".".
- Continuity_equation label "Continuity equation".
- Continuity_equation label "Continuïteitsvergelijking".
- Continuity_equation label "Ecuación de continuidad".
- Continuity_equation label "Equazione di continuità".
- Continuity_equation label "Equação de continuidade".
- Continuity_equation label "Kontinuitätsgleichung".
- Continuity_equation label "Równanie ciągłości".
- Continuity_equation label "Équation de conservation".
- Continuity_equation label "Уравнение непрерывности".
- Continuity_equation label "معادلة الاستمرارية".
- Continuity_equation label "連続の方程式".
- Continuity_equation label "連續性方程式".
- Continuity_equation sameAs Rovnice_kontinuity.
- Continuity_equation sameAs Kontinuitätsgleichung.
- Continuity_equation sameAs Ecuación_de_continuidad.
- Continuity_equation sameAs Équation_de_conservation.
- Continuity_equation sameAs Equazione_di_continuità.
- Continuity_equation sameAs 連続の方程式.
- Continuity_equation sameAs 연속_방정식.
- Continuity_equation sameAs Continuïteitsvergelijking.
- Continuity_equation sameAs Równanie_ciągłości.
- Continuity_equation sameAs Equação_de_continuidade.
- Continuity_equation sameAs m.02515f.
- Continuity_equation sameAs Q217219.
- Continuity_equation sameAs Q217219.
- Continuity_equation sameAs Continuity_equation.
- Continuity_equation wasDerivedFrom Continuity_equation?oldid=606546416.
- Continuity_equation depiction Continuity_eqn_open_surface.svg.
- Continuity_equation isPrimaryTopicOf Continuity_equation.
