Comparative studies on closure approximations in flows of liquid crystal polymers: I. elongational flows

摘要: Abstract We derive nine approximate models for flows of liquid crystal polymers by applying different closure approximations to the kinetic theory developed Bhave et al. then benchmark comparing their uniaxial steady state solutions corresponding ones in elongational flows. For prolate states, we find that all give qualitatively acceptable approximations. In particular, when flow is uniaxially stretching, which flow-orientation interaction term approximated second Hinch-Leal approximation well range small Peclet numbers; likewise, molecule-molecule Doi large numbers. oblate phase, however, except DD (Doi approximation) and DHL2 (Hybrid HL2 model may produce either fictitious or nonphysical states with out-of-range order parameter values. Therefore, caution use this phase. contrast, are applicable phases any numbers polymer concentration addition, they phase biaxially stretching. end, best overall given model.