The effects of impeller type, Newtonian shear thinning liquid viscosities, and noncoalescing conditions on the impeller gas cavities, impeller power consumption, and Sauter mean bubble diameter (d 32 ) in a multiphase agitated vessel were systematically studied. An underwater recording technique was used to study gas cavities and bubble size in various operating and design conditions. The gas cavity images were used to relate d 32 to gas cavity structure. It was observed that d 32 values increase with an increase in Newtonian and shear thinning liquid viscosities. Results also indicate that impellers operating in shear thinning liquids consume higher gassed power at the same operating conditions compared with those in Newtonian fluids. In addition, the d 32 values in noncoalescing liquids are substantially smaller compared with those in coalescing solutions at the same P g /V. Mathematical correlations are proposed for estimating the d 32 in the impeller discharge stream and P g /V in viscous Newtonian and non-Newtonian solutions.KEYWORDS bubble size, gas cavities, gas-liquid hydrodynamics, mathematical correlations, non-Newtonian liquid, power consumption
Nomenclature and symbols:Greek letters: σ, surface tension, N/m; η, microscale of turbulence, m; ρ L , liquid phase density, kg/m 3 ; μ L , liquid phase viscosity, Pa·s; μ G , gas phase viscosity, Pa·s; τ, torque, N·m; v, kinematic viscosity of liquid, m 2 /s Letters and subscripts: a G-L , gas-liquid interfacial area, m 2 /m 3 ; C, impeller clearance, m; Ca c , critical capillary number, dimensionless; D, impeller diameter, m; d, particle size, m; d max , maximum stable diameter, m; d 32 , Sauter mean diameter, m; d bi , average bubble diameter in Equation (2), m; ε, energy dissipation rate, W/kg; G, strength of the applied strain rate around the bubble, 1/s; g, gravitational acceleration, m/s 2 ; H, liquid height, m; k, impeller constant; L, scale of the main flow, m; M s , mass of solids, kg; N, impeller speed, rps; n i , number of bubbles in Equation (2); N jsg , impeller speed for complete off-bottom solids suspension in three-phase systems, rps; N js , impeller speed for complete off-bottom solids suspension in two phase systems, rps; N P , power number; P g , gassed power input, W; S, dimensional coefficient; Q g , gas flow rate, vvm; T, tank diameter, m; V, liquid volume, m 3 ; V S , superficial gas velocity, m/s; vvm, volumetric flow rate of gas per minute per volume of liquid in the tank; u 2 , mean square velocity difference, m 2 /s 2 ; X, solid loading ratio, kg/kg Abbreviations: CMC, carboxymethyl cellulose; MIBC, methyl isobutyl carbinol