Calculation-Boundary Layer Thickness

I am looking for a text (or published article) which gives specifics on how to calculate the thickness of the boundary layer (BL) that would be carried on one side of a strip (say a steel strip) of width (W) traveling vertically at a speed (V) out of a water (or aqueous) bath. Which specific parameters for the strip material* and physical properties of the solution are critical, and specifically how does one calculate the BL thickness. Basically, I am interested in a text (or alternative) that gives a "sample calculation" if possible. This topic may potentially fall into the area of aeronautical engineering, I'm not sure.

* obviously surface roughness and surface tension might be included.