  We study the effect of non-radial motions on the mass function, the VDF and
on the shape of clusters of galaxies using the model introduced in Del Popolo &
Gambera (1998a,b; 1999). The mass function of clusters, obtained using the
quoted model, is compared with the statistical data by Bahcall & Cen (1992) and
Girardi et al. (1998), while the VDF is compared with the CfA data by Zabludoff
et al. (1993) for local clusters. In both cases the model predictions are in
good agreement with the observational data showing once more how non-radial
motions can reduce many of the discrepancies between CDM model predictions and
observational data. Besides we study the effect of non-radial motions on the
intrinsic shape of clusters of galaxies showing that non-radial motions produce
clusters less elongated with respect to CDM model.
