“…Attarakih et al (2004Attarakih et al ( , 2006aAttarakih et al ( , 2006bAttarakih et al ( , 2006cAttarakih et al ( , 2012Attarakih et al ( , 2013 developed the PBM codes, including the liquid-liquid extraction column module (LLECMOD) and the particulate population balance laboratory (PPLAB) for extraction columns, in which simplified hydrodynamic models were employed to solve population balance equations. The codes were successfully applied to simulate different extraction columns such as RDC, Kühni column and pulsed column Jaradat et al, 2010;Jaradat et al, 2011;Attarakih et al, 2012;Jildeh et al, 2013;Jildeh et al, 2014;Attarakih et al, 2015). Their results showed that the PBM codes are able to reasonably simulate the holdup profiles, droplet Sauter mean diameter and concentration profiles.…”