Mass transfer between particles and liquid in solid-liquid two-phase upflow in vertical tubes.

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Ion exchange resin particles and electrolyte solutions were transported upward through vertical tubes, and mass transfer coefficients between particles and liquid were obtained by measurement of the ion exchange rate under the condition of liquid-side mass transfer control. Tube sizes used were 1.96 and 3.00 cm inner diameter. Particle diameters ranged from 321 to 807 μm, and particle densities were in the range from 1190 to 1390 kg/m3. Other experimental variables were flow rate, species of counter-ion, fractional holdup of particles, and temperature. Experimental results were correlated with the following empirical equation under the experimental conditions studied: Sh=2+0.44(ε1/3Dp4/3/ν)0.63Sc1/3 12<(ε1/3Dp4/3/ν)<190, 250<Sc<2300, md<0.014where ε, Dp, ν, and md are energy dissipation rate per unit mass of liquid, particle diameter, kinematic viscosity of liquid, and delivered concentration of particles, respectively. The above equation is nearly the same as published empirical ones for stirred tanks and bubble columns, which suggests that the effect of turbulent eddies on mass transfer could be identical although the macroscopic flow patterns are apparently different.
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