Volume No.11
Published in Nov-2021.
Science, Technology, Engineering and Mathematics
Art-71: Modeling of constant-volume continuous diafiltration by solute distribution spaces perturbations through geometric series: Part I: Inert system (Washing method).
Arturo Espinosa-Duque, Mayra A. Mora, Manuel Palencia
https://doi.org/10.34294/j.jsta.21.11.71
Abstract.
A new modeling of the washing method during constant-volume continuous diafiltration is described. This model is based on
the analysis of small perturbations experimented by a dissolution in the inner of a diafiltration module. Thus, the analysis of small
perturbations promoted during the diafiltration process permits to conclude an analytical model to describe the concentration changes in
function of system parameters (e.g., filtration factor, permeate volume, time). Mathematical expression for the description of retention
profile is characterized to be a geometric series with constant ratio given by r = 1/(1+ϕ) with a corresponding equivalent exponential
equation, in addition, all parameters of model are completely defined in term of physical variables. It is concluded that retention profiles
of inert system are completely defined by two volumetric parameters related with the experiment design: “collecting tube volume” and
volume contained in the filtration cell. However, if the minimal permeate volume produced by the perturbation is considered, then
“collecting tube volume” is equal to membrane’s permeability.
Cite As.
Espinosa-Duque A, Mora M, Palencia M, (2021), Modeling of constant-volume continuous diafiltration by solute distribution spaces perturbations through geometric series: Part I: Inert system (Washing method), J. Sci. Technol. Appl., 11, 13-23. https://doi.org/10.34294/j.jsta.21.11.71