There are two competing descriptions of nematic liquid crystal dynamics: the Ericksen-Leslie director theory and the Eringen micropolar approach. Up to this day, these two descriptions have remained distinct in spite of several attempts to show that the micropolar theory includes the director theory. In this paper we show that this is the case by using symmetry reduction techniques and introduc...

In this paper, the basic constitutive equations and equations of motion are derived to describe the behavior of thermoelastic porous piezoelectric medium by using Biot’s theory and the theory of generalized thermoelasticity with on relaxation time (Lord-Shulman). The electrical enthalpy density function is derived in the general coordinates. Also, clear definitions for the poroelastic modulus, ...

Carbon fiber-reinforced plastic (CFRP) is widely used for structural members of transportation vehicles such as automobile, aircraft, or spacecraft, utilizing its excellent specific strength and specific rigidity in contrast with the metal. Short carbon fiber composite materials are receiving a lot of attentions because of their excellent moldability and productivity, however they show complica...

The present study deals with the analysis of unsteady boundary layer flow and heat transfer of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane. The velocity and temperature are assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along the x-axis so that the sheet is stretched, k...

In this paper free convection from a horizontal isothermal elliptic tube placed in a micropolar fluid with its major axis vertical is investigated. The governing equations are based on the conservation of mass, linear momentum, angular momentum and energy. The full governing equations written in stream function-vorticity formulation are solved numerically using the Spectral method based on Four...

The present study dealt with heat and mass transfer rate, motile micro-organisms for convective micropolar nanofluid flow in a porous medium. contains the influence of both Brownian motion thermodiffusion (thermophoresis). problem considered finds applications areas engineering such as reducing greenhouse effects pharmaceutical enhancing mixing slowing down settling particles can be mentioned. ...

We study the flow of a micropolar fluid in thin domain with microstructure, i.e., thickness $$\varepsilon $$ which is perforated by periodically distributed solid cylinders size $$a_\varepsilon . A main feature this dependence characteristic length on small parameters describing geometry porous medium under consideration. Depending ratio respect to , we derive three different generalized Darcy ...

The Eshelby stress (static energy momentum) tensor is derived for bone modelled as an inhomogeneous piezoelectric and piezomagnetic Cosserat (micropolar) medium. The divergence of this tensor is the configurational force felt by material gradients and defects in the medium. Just as in inhomogeneous elastic media, this force is identified with the thermodynamic force for phase transformations, i...

The thermoelastic stress analysis for linear thermoelastic bodies is developed as a mathematical support to the infra-red radiometric method (SPATE) applied to structures under cyclic loading conditions.