In particular, a major unsolved problem is to theoretically obtain the minimum critical Reynolds number [R.
He also found two critical values: an upper critical Reynolds number [R.
The key point is that the flow around a smooth sphere the size of a golf ball travelling through stationary air at the speeds experienced when driven from the tee is nominally laminar and just below the critical Reynolds number.
A fast/ medium-paced bowler will also be delivering a cricket ball at speeds nearing the critical Reynolds number and if he/she can project it in such a way that the seam remains at a constant angle to the direction of flight (20[degrees] according to most coaching manuals) with the polished side leading, the ball will swing in the direction that the seam is pointing in.
While a general critical Reynolds number
cannot characterize the transition between the two regimes, it is possible, as will be shown, for a single suitably scaled Reynolds number to provide a reasonable approximation of the transition region.
20] state that previous experiments have revealed a value for a critical Reynolds number
and boundary layer thickness.
Ghajar and Madon (1992) performed an extensive study into the effect of three different types of inlets on the critical Reynolds number during isothermal, fully developed flow.
The tests with the disturbance revealed that as the Rayleigh number (accounting for buoyancy-induced secondary flows) was increased, the critical Reynolds number increased.
Or it would vibrate until you got to a critical Reynolds number
, and then it would stop and wouldn't vibrate again.
In the left region, [lambda] decreases with 1/Re up to the critical Reynolds number
Kanda's experiments  have shown that the critical Reynolds number
is determined by the entrance shape of pipes, and a detailed numerical study is thus necessary for various entrance shapes of pipes.
The minimum critical Reynolds number
for laminar-turbulent transition is known to be in the range from 1300 to 1400, and we have thus focused our finite difference computations of the pressure gradient in the y-direction at Reynolds numbers (Re) between 100 and 5000.