In fluid dynamics, inviscid flow is the flow of an inviscid fluid which is a fluid with zero viscosity.[1]
The Reynolds number of inviscid flow approaches infinity as the viscosity approaches zero. When viscous forces are neglected, such as the case of inviscid flow, the Navier–Stokes equation can be simplified to a form known as the Euler equation. This simplified equation is applicable to inviscid flow as well as flow with low viscosity and a Reynolds number much greater than one. Using the Euler equation, many fluid dynamics problems involving low viscosity are easily solved, however, the assumed negligible viscosity is no longer valid in the region of fluid near a solid boundary (the boundary layer) or, more generally in regions with large velocity gradients which are evidently accompanied by viscous forces.[1][2][3]
The flow of a superfluid is inviscid.[4]
Inviscid flows are broadly classified into potential flows (or, irrotational flows) and rotational inviscid flows.
^ abE., Stewart, Warren; N., Lightfoot, Edwin (2007-01-01). Transport phenomena. Wiley. ISBN 9780470115398. OCLC 762715172.{{cite book}}: CS1 maint: multiple names: authors list (link)
fluid dynamics, inviscidflow is the flow of an inviscid fluid which is a fluid with zero viscosity. The Reynolds number of inviscidflow approaches infinity...
equations along a streamline in an inviscidflow yields Bernoulli's equation. When, in addition to being inviscid, the flow is irrotational everywhere, Bernoulli's...
introduction of mathematical fluid dynamics in Hydrodynamica (1739). Inviscidflow was further analyzed by various mathematicians (Jean le Rond d'Alembert...
equations. When studying flow stability it is useful to understand more simplistic systems, e.g. incompressible and inviscid fluids which can then be...
upper surface than on the lower surface. In some situations (e.g. inviscid potential flow) the lift force can be related directly to the average top/bottom...
In mathematics, potential flow around a circular cylinder is a classical solution for the flow of an inviscid, incompressible fluid around a cylinder...
directly from the inviscid, irrotational and incompressible flow equations, and expressed in terms of three invariants of the flow, as shown by Benjamin...
relation, which is the same as the momentum equation for the outer inviscidflow. ρuoduods=−dpds{\displaystyle \rho u_{o}{du_{o} \over ds}=-{dp \over...
problems are called inviscidflows. Flows for which viscosity cannot be neglected are called viscous flows. An incompressible flow is a flow in which density...
in mass flow compared to inviscidflow with slip at the wall. It is the distance by which the wall would have to be displaced in the inviscid case to...
a classic structure in aerodynamics because, for a perfect gas and inviscidflow field, an analytic solution is available, such that the pressure ratio...
special case of steady, incompressible, inviscidflows (such as the flow of water or other liquid, or low-speed flow of gas) along a streamline, the theoretical...
limit of vanishing viscosity, i.e., for an inviscid fluid and with no vorticity present in the flow. Potential flow describes the velocity field as the gradient...
(zero-viscosity) flow problems. However, most flows are dominated by viscous effects, so engineers of the 17th and 18th centuries found the inviscidflow solutions...
circulation theorem states that a fluid that is irrotational in an inviscidflow will remain irrotational. This result can be derived from the vorticity...
According to the Kutta–Joukowski theorem, for a spinning sphere with an inviscidflow of air, the Magnus force is equal to F M = 8 3 π r 3 ρ ω v , {\displaystyle...
"A Computer Program for Three-Dimensional Lifting Bodies in Subsonic InviscidFlow," USAAMRDL Technical Report, TR 74-18, Ft. Eustis, Virginia, April 1974...
crust that insulates the remaining liquid lava, helping to keep it hot and inviscid enough to continue flowing. The word lava comes from Italian and is probably...
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