Conservation form
Encyclopedia
Conservation form refers to an arrangement of an equation
or system of equations, usually representing a physical system, that show that a property represented is conserved by making overall change equal to zero.
An example of a set of equations written in conservation form could be the Euler equations
of fluid flow:
Each of these represents the conservation of mass
, momentum and energy
, respectively.
Equation
An equation is a mathematical statement that asserts the equality of two expressions. In modern notation, this is written by placing the expressions on either side of an equals sign , for examplex + 3 = 5\,asserts that x+3 is equal to 5...
or system of equations, usually representing a physical system, that show that a property represented is conserved by making overall change equal to zero.
An example of a set of equations written in conservation form could be the Euler equations
Euler equations
In fluid dynamics, the Euler equations are a set of equations governing inviscid flow. They are named after Leonhard Euler. The equations represent conservation of mass , momentum, and energy, corresponding to the Navier–Stokes equations with zero viscosity and heat conduction terms. Historically,...
of fluid flow:
Each of these represents the conservation of mass
Conservation of mass
The law of conservation of mass, also known as the principle of mass/matter conservation, states that the mass of an isolated system will remain constant over time...
, momentum and energy
Conservation of energy
The nineteenth century law of conservation of energy is a law of physics. It states that the total amount of energy in an isolated system remains constant over time. The total energy is said to be conserved over time...
, respectively.