The thickness of the laminar boundary layer on a flat plate Z_x is approximately given by the equation Z_x = 5.5[μx/(u_∞ρ)]^1/2. Show that at the transition to the turbulent flow the Reynolds number based on this thickness, instead of on x as in Eq. (3.23), is close to the transition Reynolds number for flow in a pipe.

Eq. 3.23

where 

x = distance from leading edge of plate 

u_∞ = bulk fluid velocity 

ρ = density of fluid

μ = viscosity of fluid

Transcribed Image Text:

Rex χωρ μ (3.23)