In this paper we assume determination of pseudo-viscosity coefficients of visco-elastic non-Newtonian fluid flow directly near the cooperating micro-bearing surface. We show the constitutive stress-strain dependencies of nonNewtonian visco-elastic media with regard to the content of addition of nano-particles. The greater content of nano-particles and influences of superficial layer of cooperat...

Abstract The thermal instability of a couple-stress Rivlin-Ericksen ferromagnetic fluid with varying gravity field, suspended particles, rotation and magnetic field flowing through porous medium is investigated. dispersion relation has been developed solved analytically using the normal mode approach linear stability theory. effect rotation, couple stress, permeability on layer For stationary c...

We consider the behavior of the Doi-Marrucci-Greco (DMG) model for nematic liquid crystalline polymers in planar shear flow. We found the DMG model to exhibit dynamics in both qualitative and quantitative agreement with experimental observations reported by Larson and Mead [Liquid Crystals, 15 (1993), pp. 151–169] for the Ericksen number and Deborah number cascades. For increasing shear rates w...

We study a simplified Ericksen-Leslie system modeling the flow of nematic liquid crystals with partially free boundary conditions. It is coupled between Navier-Stokes equation for fluid velocity transported heat harmonic maps, and both these parabolic equations are critical analysis in two dimensions. The conditions physically natural they correspond to Navier slip condition zero friction field...

The aim of this theoretical paper is to investigate the physical mechanism responsible for appearance vortex flow in a hybrid aligned nematic (HAN) microvolume with an orientational defect, excited by temperature gradient ∇T. This was done framework classical Ericksen-Leslie theory, supplemented thermomechanical correction shear stress and Rayleigh dissipation function, as well taking into acco...

In this paper, numerical solutions to the equations for the Ericksen-Leslie dynamic theory are obtained for two-dimensional nematic liquid crystal flows subject to a magnetic field. A numerical method for solving the governing equations for 2D flows has been formulated. The governing equations are solved by a finite difference technique based on the GENSMAC methodology introduced by Tomé and Mc...

In this paper, we first establish the regularity theorem for suitable weak solutions to the EricksenLeslie system in R2. Building on such a regularity, we then establish the existence of a global weak solution to the Ericksen-Leslie system in R2 for any initial data in the energy space, under the physical constraint conditions on the Leslie coefficients ensuring the dissipation of energy of the...