Simulation algorithm
The equations were solved by the finite difference method using Matlabs software. The basic parameters used in the model calculation are summarized in Table 1 . The simulation methodology, summarized schematically in Figure 2 , was as follows:
  1. The operating conditions (P , ωo ,Cf , T ) and membrane properties (Rp , εm , τ ,S ) were input in the Matlab program.
  2. The initial permeate flux J (0) at t =0 was calculated using eq. (2) without deposition of foulants.
  3. The average Mw of dextran was determined based on the kinetics of dextran degradation using eq. (1).
  4. The deposition possibility of particles was determined by the force balance model using eq. (22) to achieve the calculation of the total membrane filtration resistance Rt .
  5. The permeate flux and solute flux at any time could be calculated step-by-step using the above procedures.
Figure 2. Schematic diagram of the methodology used in this work.
Table 1. Parameters used for model simulation