Effect of spacer on mass transfer coefficient and calcium sulfate scaling phenomena in reverse osmosis desalination

Inorganic material (scale) precipitation on reverse osmosis (RO) membranes is a serious issue in plants because performance recovery via cleaning is challenging, and the replacement expenses are enormous. This study investigated the calcium sulfate scaling phenomena on membranes using a flat membrane cell with a spacer to model a spiral wound-type RO element. Subsequently, the mass transfer coefficient of the flat membrane cell with the spacer and the convergent value of permeate flux due to solute precipitation were determined. The dimensionless equation for the mass transfer coefficient of the cell with the spacer could be expressed using the dimensionless equation for the mass transfer coefficient of a flat membrane cell without a spacer. The behavior in permeate flux due to the precipitation of calcium sulfate on the RO membrane of the cell with the spacer was analyzed based on the scaling-based critical flux and scaling index, which discriminate scale precipitation. Finally, scale precipitation experiments were conducted by varying spacers and the operating conditions of pressure, solute concentration, temperature, and Reynolds number; the permeate flux was confirmed to converge to the scaling-based critical flux, and the scaling index could discriminate the operating condition area of scale precipitation.