title: An unsteady state retention model for fluid desorption from sorbents.
abstract: New studies regarding the sorption of fluids by solids are published every day. In performance testing, after the sorbent has reached saturation, it is usually removed from the sorbate bath and allowed to drain. The loss of liquid from the sorbents with time is of prime importance in the real-world application of sorbents, such as in oil spill response. However, there is currently no equation used for modeling the unsteady state loss of the liquid from the dripping sorbent. Here, an analytical model has been provided for modeling the dynamic loss of liquid from the sorbent in dripping experiments. Data from more than 60 sorbent-sorbate systems has been used to validate the model. The proposed model shows excellent agreement with experimental results and is expressed as: U(t)=U(L)e(-Kt)+U(e) In which U(t) (kg/kg) is the uptake capacity of the sorbent at any time t (s) during dripping, U(L) (kg/kg) is the uptake capacity lost due to dripping, and U(e) (kg/kg) is the equilibrium uptake capacity reached after prolonged dripping. K (1/s) is defined as the Kamaan coefficient and controls the curvature of the retention profile. Kamaan ([symbol: see text] IPA phonetics: kæmɒn) is an Iranian (Farsi/Persian) word meaning "arc" or "curve" and hence the letter K has been designated.
authors: Department of Chemical and Biomolecular Engineering, Hong Kong University of Science and Technology, Clearwater Bay, Hong Kong; Department of Chemical Engineering and Biotechnology, University of Cambridge, New Museums Site, Pembroke Street, Cambridge CB2 3RA, UK. Electronic address: bazargan@connect.ust.hk.
authors: Alireza
authors: A
authors: Bazargan
authors: Department of Civil and Environmental Engineering, Hong Kong University of Science and Technology, Clearwater Bay, Hong Kong; Department of Civil Engineering, Sharif University of Technology, Azadi Avenue, Tehran, Islamic Republic of Iran. Electronic address: hsadeghi@connect.ust.hk.
authors: Hamed
authors: H
authors: Sadeghi
authors: Department of Engineering, Division A, University of Cambridge, Trumpington Street, CB2 1PZ, UK. Electronic address: r.gmayoral@eng.cam.ac.uk.
authors: Ricardo
authors: R
authors: Garcia-Mayoral
authors: Department of Chemical and Biomolecular Engineering, Hong Kong University of Science and Technology, Clearwater Bay, Hong Kong; Division of Sustainable Development, College of Science, Engineering and Technology, Hamad bin Khalifa University, Qatar Foundation, Doha, Qatar. Electronic address: kemckayg@ust.hk.
authors: Gordon
authors: G
authors: McKay
keywords: Analytical model; Dynamic oil loss; Kamaan coefficient; Oil spill remediation; Retention curve