Question

On a hot day (T = 30°C), a truck moves along the highway at 29 m/s. The flat side of the truck is treated as a simple, smooth flat plate boundary layer to first approximation. Estimate the x-location along the plate where the boundary layer begins to transition to turbulence. How far downstream from the beginning of the plate do you expect the boundary layer to become fully turbulent? The density and viscosity of air at T = 30ºC are 1.164 kg/m3 and 1.872 × 10–5 kg/m·s, respectively..

Answer 1

x = 2.607 m

Step-by-step explanation:

Given data:

Temperature of air is T = 30 degree c

speed v = 29 m/s

we have to determine that location where boundary layer become turbulent and we know that boundary layer begin to transit at Re = 3\times 10^6

we know that Reynolds's number is given as

`Re = (\rho v x)/( \mu)`

`3* 10^6 =(1.164 * 18.5* x)/(1.872* 10^(-5))`

solving for x we have

x = 2.607 m