Continuity Equation Calculator

The continuity equation is the specific expression of the law of mass conservation (see mass) in fluid mechanics. Its premise is that continuous medium model is adopted for fluid, and velocity and density are continuous and differentiable functions of spatial coordinates and time.
In physics, continuity equation is a partial differential equation which describes the transmission behavior of conserved quantity. Since mass, energy, momentum, charge, and so on are conserved quantities under appropriate conditions, many kinds of transport behaviors can be described by the continuity equation.
The continuity equation is a conservation law equation of locality. This law of conservation is stronger than the law of conservation everywhere. All the articles in this entry examples of continuity equation to express the same idea a conserved quantity in any area of the total change, equal to the number of from the border to enter or leave; Conserved quantities cannot be increased or decreased, and can only be transferred from one location to another.
Each continuity equation can be expressed as an integral (using the flux integral), describing conserved quantities in any finite region; It can also be expressed in differential form (using the divergence operator) to describe conserved quantities at any position. Using the divergence theorem, you can derive the integral form from the differential form and vice versa.