Derive OM estimates of the half-thickness (), maximum velocity (v m ), and volume flow rate per

Derive OM estimates of the half-thickness (δ), maximum velocity (v_m), and volume flow rate per unit width (q) of a turbulent jet that passes from a slit into a large volume of the same fluid. Assume that the eddy diffusivity is related to δ and v_m as in Eq. (10.6-17). You should find that δ increases linearly with x, which is supported by data for submerged jets (Abramovich, 1963, p. 15). Is ε constant for a planar jet, as for an axisymmetric one, or does it vary with x? How do your results compare with those for a laminar jet in Example 9.3-2?

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l=k(y+yo), yo = bk. (P10.10-2)