In using the von Ka´rma´n approximate method for analyzing the turbulent boundary layer over a flat plate, the following velocity and concentration profile were assumed:
where the four constants, and were determined by the appropriate boundary conditions at the surface and at the outer edge of the two boundary layers.
(a) Find the four constants and the resulting velocity and concentration profiles.
(b) Upon the application of the von Ka´rma´n momentum integral equation, the following equation for the thickness of the turbulent boundary layer has been determined:
Use this relationship and the solution to von Ka´rma´n concentration integral equation when the Schmidt number equals 1 to obtain the following equation for the local mass-transfer coefficient:
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