Research Article On the Equilibria of the Extended Nematic Polymersunder Elongational Flow
نویسندگان
چکیده
We classify the equilibrium solutions of the Smoluchowski equation for dipolar (extended) rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples theMaier-Saupe short-range interaction, dipole-dipole interaction, and an external elongational flow. We show that all stable equilibria of rigid, dipolar rod dispersions under imposed uniaxial elongational flow field are axisymmetric. This finding of axisymmetry significantly simplifies any procedure of obtaining experimentally observable equilibria.
منابع مشابه
On the Equilibria of the Extended Nematic Polymers under Elongational Flow
We classify the equilibrium solutions of the Smoluchowski equation for dipolar (extended) rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples theMaier-Saupe short-range interaction, dipole-dipole interaction, and an external elongational flow. We show that all stable equilibria of rigid, dipolar rod dispersions under imposed uniaxial elongational flow field...
متن کاملNonhomogenous patterns with core defects in elongational flows of liquid crystal polymers
The interaction between flow and orientation of liquid crystalline polymers ~LCPs! creates remarkable heterogeneous patterns in which defects, or singular solutions, serve to mediate a confluence of ordered nematic phases. The origin of defects remains a mystery. It is therefore valuable to have models for LCP flows that provide some evidence of defects, and of the corresponding physical compet...
متن کاملA Unified View on the Rotational Symmetry of Equilibria of Nematic Polymers, Dipolar Nematic Polymers and Polymers in Higher Dimensional Space
Abstract. We study equilibrium states of the Smoluchowski equation for rigid, rod-like polymer ensembles. We start with several cases in the three dimensional space: a) nematic polymers where the only intermolecular interaction is the excluded volume effect, modeled using the Maier-Saupe potential, b) dipolar nematic polymers where the intermolecular interaction consists of the dipoledipole pot...
متن کاملModeling of liquid–liquid equilibria of aqueous alcohol + salt systems using amodified NRTL
The modified NRTL (m-NRTL) model is used to represent the excess Gibbs free energy of aqueous (alcohol + electrolyte) solutions. In this work, the m-NRTL model previously developed for representation of vapor-liquid equilibria for (polymer + salt + water) systems has been extended to represent liquid-liquid equilibria of (alcohol + salt + water) systems. The proposed extension is a modified of ...
متن کاملHomogeneous Biaxial Patterns and Director Instabilities of Liquid Crystal Polymers in Imposed Elongational Flows
We analyze the elongational-ow-driven Doi nematodynamic equations for spatially homogeneous nematic liquid crystal polymers (LCP). Following original studies by See, Doi and Larson 25], Bhave et al. 1], and Rey 23], the following results are provided: The order parameter (2-D) analysis of 23] is generalized to the full ve-component orientation tensor, revealing new, elongation-induced, director...
متن کامل