Likelihood and expected-time statistics of monodomain attractors in sheared discotic and rod-like nematic polymers

Monodomain response of arbitrary aspect ratio nematic polymers in general linear planar flows

“…Whether flow-aligning (FA) steady states exist, and if they are stable, can be deduced from the simple shear problem with generalized aspect ratioā. This analysis is discussed in detail for various mesoscopic closure models in [9,24] and for the particular Doi closure in complete generality in [25]. These existence and stability features of FA states vary with both Pe andā.…”

“…For pure straining flows (p 2 = p 3 ), (25), the correspondence principle discussed in Sections 3.2 and 3.3 needs to be refined because we have normalized with respect to the vorticity strength, p 2 − p 3 . First we point out that any pure straining flow can be mapped to the pure extensional flow (24) by a rotation of the flow and flow-gradient plane.…”

Review of chaos in the dynamics and rheology of suspensions of orientable particles in simple shear flow subject to an external periodic force

“…Forest et al [85] extend these predictions to arbitrary shear rates and provide the phase diagram for Pe ≥ 1, giving the complete set of stable orientational distributions versus concentration and shear rate. Zheng et al [86] discuss some statistical properties of nematic polymer monodomains which are important in applying theoretical models to the intrepretation of experimental data. Forest et al [87] studied the robustness of rheochaos in sheared nematic polymers and predicted persistence of chaos upto a threshold straining flow strength and minimum aspect ratio.…”

Water Level Antenna Design at 20 GHz

“…Spatially inhomogeneous morphology of the nanocomposites is explored recently giving rise to an effective medium property throughout the physical domain where the medium resides. Ref [14][15][16][17].…”