Inviscid flow

An inviscid flow neglects viscosity in the fluid flow. Its momentum balance is described by the Euler equations for an inviscid fluid.

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- Inviscid falling jet and radial impact film Inviscid flow

Inviscid falling jet and radial impact film ( $u^{2} = u_{0}^{2} + 2 g (H - z), π R^{2} u = π a^{2} u_{0}$ )

A steady incompressible jet at atmospheric pressure conserves Bernoulli's equation and volume flux. Its radius contracts as

R = a [u / u_{0}]^{- 1/2}

. After impact, a thin nearly horizontal axisymmetric film has

2 π r h v = π a^{2} u_{0}

. Evaluating Bernoulli's equation on its free surface gives

v^{2} = u_{0}^{2} + 2 g (H - h)

, hence

a^{4} / (4 r^{2} h^{2}) = 1 + 2 g (H - h) / u_{0}^{2}

. This inviscid thin-film description applies away from the impact region and does not describe a dissipative hydraulic jump.

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Inviscid flow refers to a type of fluid flow in which the effects of viscosity are negligible. In this idealized scenario, the fluid is treated as inviscid, meaning that it has no internal friction or resistance to flow. As a result, the flow can be described using the Euler equations of fluid dynamics, which are a set of nonlinear partial differential equations governing the motion of inviscid fluids.

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