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Figure 4.21 E-curves in the downcomer section for different current intensities and electrode positions (Essadki et al., 2011).
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Figure 4.22 A typical response curve at the upper end of the riser for mixing time estimation (Essadki et al., 2011).
Actually, the full transport equation for tracer concentrations in an axisymmetric cylindrical coordinate system is given by the following 3D equation:

(ρc)t+1rr(ραlurrc)+1rθ(ραluθc)+z(ραluzc)=1rrrαlDeffcr+1rθDeffrαlcθ+zDeffαlcz

(4.211)
where Deff is the effective diffusion ...

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