A model was developed, based on finite element method (FEM), here as computational fluid dynamics (CFD) for the description of the complete flow field and concentration distribution inside a membrane capillary, driven in inside-out mode. Particle or floc transport and deposition was described by superimposing the calculation of forces and torques equilibria on the previously modelled fluid flow field. The model is used to give an overview of deposition behaviour of flocs of certain size in dead-end filtration. Results are exemplarily shown for different sized flocs. The results can be used to derive appropriate operation and cleaning procedures.