Continuity Equation


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continuity equation

[‚känt·ən′ü·əd·ē i′kwā·zhən]
(physics)
An equation obeyed by any conserved, indestructible quantity such as mass, electric charge, thermal energy, electrical energy, or quantum-mechanical probability, which is essentially a statement that the rate of increase of the quantity in any region equals the total current flowing into the region. Also known as equation of continuity.

Continuity Equation

 

one of the equations of hydrodynamics that expresses the law of the conservation of mass for any volume of moving liquid or gas. In Euler variables the continuity equation has the form

where ρ is the density of the fluid, v is its velocity at a given point, and vx, vy, and vz are the components of the velocity along the coordinate axes. If the fluid is incompressible (ρ = const), then the continuity equation takes the form

For steady, one-dimensional flow in a pipe or channel with a cross-sectional area S, the continuity equation gives the law of constancy of the flow rate ρSv = const.

S. M. TARG

References in periodicals archive ?
The main difficulty is finding a relationship between velocity and pressure fields to satisfy the continuity equation.
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The continuity equation for holes in the Schottky junction depletion region is given by [11]
This observation then leads intuitively to the standard continuity equation [1, p.
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The law of continuity, or the continuity equation, to which it is sometimes referred, is founded on the law of conservation of matter.
Equation 1 is the Continuity equation and Equation 2 is the Momentum equation.
We arrive at the differential equations [18] directly using Coulomb's law and the continuity equation relating the charge and the current in a wire.

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