Otherwise, if an incompressible flow also has a curl of zero, so that it is also Laplacian.
12.
For incompressible flow, the continuity equation and Navier Stokes equations are filtered, yielding the filtered incompressible continuity equation,
13.
In incompressible flows, the stagnation pressure at a stagnation point is equal to the total pressure throughout the flow field.
14.
The Mach number is primarily used to determine the approximation with which a flow can be treated as an incompressible flow.
15.
In the case of an incompressible flow the velocity potential satisfies Laplace's equation, and potential theory is applicable.
16.
Mathematically, this constraint implies that the material derivative ( discussed below ) of the density must vanish to ensure incompressible flow.
17.
It is desirable to choose basis functions which reflect the essential feature of incompressible flow the elements must be divergence-free.
18.
Notably, the PDE . The continuity and Navier Stokes equations for a two-dimensional steady incompressible flow in Cartesian coordinates are given by
19.
For many purposes in compressible flow, the stagnation enthalpy or stagnation temperature plays a role similar to the stagnation pressure in incompressible flow.
20.
In computational fluid dynamics, for the solution of an incompressible flow problem, the incompressibility condition acts as a constraint for the pressure.
