# Continuity Equation

1. Jul 23, 2007

### Penn_State21

I have this one as well, using the continuity equation to explain how a jet engine provides a foward thrust for an airplane. I have the equation but can some one explain this to me in laymen's terms.

$$\frac{\partial\rho\left(\vec{r},t\right)}{\partial t}+\nabla\cdot\left[\rho\left(\vec{r},t\right)\vec{v}\left(\vec{r},t\right)\right]= 0$$

Kris

Last edited: Jul 23, 2007
2. Jul 23, 2007

### Staff: Mentor

The continuity equation is an equation related to conservation of mass.

The rate of change of density (in a constant volume) is equal the net mass flux across the boundary of a differential volume.

If the net flux is zero, i.e. the mass flow in = mass flow out, then there is no change in density (and no accumulation or decrease in mass) in a fixed volume.