Information about Inviscid Flow
Inviscid flow is a fluid flow where viscous (friction) forces are small in comparison to inertial forces, i.e. a flow with a Reynolds number 
. The assumption that viscous forces are negligible can be used to simplify the Navier-Stokes equations to the Euler equations.
In the case of incompressible flow, the Euler equations governing inviscid flow are:
which, in the stationary case, can be solved using potential flow theory. More generally, Bernoulli's equation can be used to analyse certain time-dependent compressible and incompressible flows.
. The assumption that viscous forces are negligible can be used to simplify the Navier-Stokes equations to the Euler equations.
In the case of incompressible flow, the Euler equations governing inviscid flow are:
which, in the stationary case, can be solved using potential flow theory. More generally, Bernoulli's equation can be used to analyse certain time-dependent compressible and incompressible flows.
Problems with the inviscid flow model
While throughout much of a flow the effect of viscosity may be small, a number of factors make the assumption of negligible viscosity invalid in many cases. Viscosity often cannot be neglected near boundaries because the no-slip condition can generate a region of large strain rate (a boundary layer) which enhances the effect of even a small amount of viscosity. Turbulence is also observed in some high Reynolds number flows, and is a process through which energy transferred to decreasingly small scales of motion until it is dissipated by viscosity.See also
- Viscosity
- Fluid dynamics
- Stokes flow, in which the viscous forces are much greater than inertial forces.
Viscosity is a measure of the resistance of a fluid to deform under either shear stress or extensional stress. It is commonly perceived as "thickness", or resistance to flow.
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In fluid mechanics, the Reynolds number is the ratio of inertial forces (vsρ) to viscous forces (μ/L) and consequently it quantifies the relative importance of these two types of forces for given flow conditions.
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The Navier-Stokes equations, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of fluid substances such as liquids and gases. These equations establish that changes in momentum in infinitesimal volumes of fluid are simply the sum of dissipative
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In physics and fluid mechanics, a boundary layer is that layer of fluid in the immediate vicinity of a bounding surface. In the Earth's atmosphere the planetary boundary layer is the air layer near the ground affected by diurnal heat, moisture or momentum transfer to or from the
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Viscosity is a measure of the resistance of a fluid to deform under either shear stress or extensional stress. It is commonly perceived as "thickness", or resistance to flow.
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turbulence or turbulent flow is a flow regime characterized by chaotic, stochastic property changes. This includes low momentum diffusion, high momentum convection, and rapid variation of pressure and velocity in space and time.
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Viscosity is a measure of the resistance of a fluid to deform under either shear stress or extensional stress. It is commonly perceived as "thickness", or resistance to flow.
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Fluid dynamics is the sub-discipline of fluid mechanics dealing with fluids (liquids and gases) in motion. It has several subdisciplines itself, including aerodynamics (the study of gases in motion) and hydrodynamics (the study of liquids in motion).
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