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The no-slip condition is an empirical assumption that has been useful in modelling many macroscopic experiments. It was one of three alternatives that were the subject of contention in the 19th century, with the other two being the stagnant-layer (a thin layer of stationary fluid on which the rest of the fluid flows) and the partial slip (a finite relative velocity between solid and fluid ...
The solution is = + + Since u needs to be finite at r = 0, c 1 = 0. The no slip boundary condition at the pipe wall requires that u = 0 at r = R (radius of the pipe), which yields c 2 = GR 2 / 4μ . Thus we have finally the following parabolic velocity profile:
There are a number of correlations for slip ratio. For homogeneous flow, S = 1 (i.e. there is no slip). The Chisholm correlation [2] [3] is: = The Chisholm correlation is based on application of the simple annular flow model and equates the frictional pressure drops in the liquid and the gas phase.
This page needs a simple and yet complex explanation of no slip condition, as it is only those who know a thing or two about fuild flow will understand this page, and i don't mean know a thing or two as in the water flows down the pipe. —Preceding unsigned comment added by 208.79.15.101 21:00, 20 May 2008 (UTC)
In physics and fluid mechanics, a boundary layer is the thin layer of fluid in the immediate vicinity of a bounding surface formed by the fluid flowing along the surface. The fluid's interaction with the wall induces a no-slip boundary condition (zero velocity at the wall). The flow velocity then monotonically increases above the surface until ...
The initial, no-slip condition on the wall is (,) = , (,) =, and the second boundary condition is due to the fact that the motion at = is not felt at infinity. The flow is only due to the motion of the plate, there is no imposed pressure gradient.
The Knudsen number is a dimensionless number defined as =, where = mean free path [L 1], = representative physical length scale [L 1].. The representative length scale considered, , may correspond to various physical traits of a system, but most commonly relates to a gap length over which thermal transport or mass transport occurs through a gas phase.
As the temperature from both sides of the shock wave is discontinuous, the speed of sound is different in these adjoining medium. So it is convenient to define the star mach number that will be independent of the specific mach number. From star condition, the speed of sound at the critical condition can also be a good reference velocity.