The governing equations (continuity and momentum equation) for the case of ideal flow assume the form:
- Continuity:
- Momentum (Navier Stokes
Euler equation):
By neglecting the viscous stress term (
)
in the Navier-Stokes equation, this reduces to the Euler equation. Navier-Stokes equation is a second order partial differential equation (2
order in
), but Euler equation is a first order partial differential equation. This is a considerable mathematical simplification, and a wide variety of ideal flow problems are amenable to solution.
Karl P Burr
2003-07-07