5/1/1998 · We have shown that the FENE-P constitutive equation allows us to describe the rheological properties of the 0.5% aqueous polyacrylamide solution. A single relaxation time provides fair agreement between experimental and theoretical data for steady shear and extensional flow a spectrum of relaxation times is needed for a good description of the storage and loss moduli.
constitutive equation (FENE-P stands for “?nitely extensible nonlinear elastic model with Peterlin’s closure ”), but he did not consider some non-negligible elastic stress contributions to the rheological constitu- tive equation, which this work found to be non-negligible, especially, 10/20/2017 · Models Methods Appl. Sci.,21, 1783–1837) to consider the finite element approximation of the FENE-P system of equations, which models a dilute polymeric fluid, in a bounded domain D ? Rd?, d = 2 or 3 ?, subject to no-flow boundary conditions.
FENE- P equation is derived for dilute solutions but it can be related to semi-dilute solutions which follow the encapsulated dumbbell model from dilute fluids to incompressible Newtonian polymers. The appropriate constitutive equation results from a kinetic theory, equation , such as the FENE- P model was developed by Leighton et al. (2003). In their approach, transport equations for the Reynolds and the polymer stresses were added to the mean ?ow equation and closures introduced to determine the unknown new correlations. Encouraging results were presented for.
yields the FENE- P constitutive equation [5]. In Eq. (2), the angular brackets denote the configuration space average = j’. ¢(Q, t) dQ, where ~, is the distribution function. It is usually believed that the FENE- P constitutive equation derived from (2) is a good
