For flow over a flat plate, the flow velocity V in the vicinity of the surface varies with the wall shear stress w, distance from

For flow over a flat plate, the flow velocity V in the vicinity of the surface varies with the wall shear stress τw, distance from the wall y, and fluid properties ρ and μ. Use dimensional analysis to determine an expression relating these variables.

The height h a liquid attains inside a partly submerged capillary tube is a function of surface tension σ, tube radius R, gravity g, and liquid density ρ. Determine an expression for the height by using dimensional analysis.