Solid-Liquid Mass Transfer and Critical Frequency for Complete Suspension in a Reciprocally Shaking Vessel

Abstract

The mass transfer rate between solid particles and liquid and the critical frequency for complete suspension in a reciprocal shaking vessel were studied. The solid-liquid mass transfer coefficient of the reciprocal shaking can be correlated with the same correlation as that of a rotational shaking at higher shaking frequencies than the critical shaking frequency for complete suspension, N_JS.

k_Ld_p/D = 0.112[d_p⁴P_V/(ρν³)]^0.29Sc^1/3 (N_JS < N < N_tr3)

The critical shaking frequency N_JS was 20% higher than that of the rotational shaking, which was correlated with the following equation.

N_JS = 0.70d_p^0.06(ρΔρ/ρ_L)^0.04X^0.03/(D^0.35d^0.17ν^0.04)