Question: Determination of eddy diffusivity (Figs. 18C.1 and 21A.1), in Problem 18C.1 we gave the formula for the concentration profiles in diffusion from a point source

Determination of eddy diffusivity (Figs. 18C.1 and 21A.1), in Problem 18C.1 we gave the formula for the concentration profiles in diffusion from a point source in a moving stream. In isotropic highly turbulent flow, Eq. 18C.1-2 may be modified by replacing D_AB by the eddy diffusivity D ^(t)_AB) this equation has been found to be useful for determining the eddy diffusivity.

(a) Show that if one plots SC_A versus s – z the slope is –v₀/2D ^(t)_AB.

(b) Use the data on the diffusion of CO₂ from a point source in a turbulent air stream shown in Fig. 21A.1 to get D^(t)_AB for these conditions: pipe diameter, 15.24 cm; v₀ = 1512 cm/s.

(d) List all assumptions made in the calculations.

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