Reynolds number

This idea can work fairly well when the Reynolds number is high.

The higher the Reynolds number, the greater the range of scales.

But the influence of the Reynolds number is second order relative to other factors.

The tendency for each type of flow is described by the Reynolds number.

The size of the smallest scales is set by the Reynolds number.

In many practical situations, the Reynolds number of the flow is quite large.

For low Reynolds number flows, tunnels can be made to run oil instead of water.

However, this is probably not the only way in which transition can be initiated at the lower Reynolds numbers.

The concept of Reynolds number similarity is no longer so useful.

However, at high Reynolds numbers all experiments showed there is drag.

To quantify this relationship, we use the so-called Reynolds number.

It is prevalent, however, among insects that are very small and experience low Reynolds numbers.

The method and formulation for analysis of flow at a very low Reynolds number is important.

The Reynolds number is taken small enough for the flow to be laminar.

Beyond a certain Reynolds number there is the onset of turbulence.

This happens only over a limited Reynolds number range.

Such flow situations can be identified as flows with a Reynolds number much greater than one.

At high Reynolds number, the drag coefficient is more or less constant.

Instead we have to introduce a set of Reynolds numbers relating to different events in the transition process.

It is given the (somewhat misleading) name of Reynolds number similarity.

Both approximations alter the values of the critical Reynolds number.

The lowest Reynolds number at which this exists is somewhat uncertain but around 104.

However, there are limitations on conditions in which dynamic similarity is based upon the Reynolds number alone.

It is a limiting solution when the Reynolds number tends to zero.

All shear flows become turbulent at high enough Reynolds number.