Chapter 6, Problem 6.19P

A fan that can provide air speeds up to 50 m/s is to be used in a low-speed wind tunnel with atmospheric air at $25°\text{C}\text{.}$ If one wishes to use the wind tunnel to study flat-plate boundary layer behavior up to Reynolds numbers of ${\mathrm{Re}}_x={10}^8,$ what is the minimum plate length that should be used? At what distance from the leading edge would transition occur if the critical Reynolds number were Re ${\mathrm{Re}}_{x,c}=5\times {10}^5?$