FENE Model
In polymer physics, the finite extensible nonlinear elastic (FENE) model, also called the FENE dumbbell model, represents the dynamics of a long-chained polymer. It simplifies the chain of monomers by connecting a sequence of beads with nonlinear springs. Its direct extension the FENE-P model, is more commonly used in computational fluid dynamics to simulate turbulent flow. The P stands for the last name of physicist Anton Peterlin, who developed an important approximation of the model in 1966. The FENE-P model was introduced by Robert Byron Bird ''et al.'' in the 1980s. In 1991 the FENE-MP model (PM for modified Peterlin) was introduced and in 1988 the FENE-CR was introduced by M.D. Chilcott and J.M. Rallison. Formulation The spring force in the FENE model is given Warner's spring force, as :\textbf_i=k\frac, where R_i = , \textbf_i, , ''k'' is the spring constant and Lmax the upper limit for the length extension. Total stretching force on ''i-''th bead can be written ...
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