ABSTRAcr. We consider a heat conducting incompressible micropolar fluid at rest and filling a closed rigid container. We account for the heat generated due to viscous dissipation and show that the kinetic and the thermal energy of arbitrary disturbances of the rest state decays exponentially. The rate of decay depends upon the viscosity coefficients, heat conduction coefficients and the size an...

We extend the micropolar fluid theory of Hayakawa and Mitarai, et al. [PRL 88, 174301 (2002)] to dense, relatively shallow flows of spherical grains down an inclined plane on which spherical bumps have been affixed. We update the model of Louge [PRE 67, 061303 (2003)], and show the role played by couple stresses in establishing the solid volume fraction in the core of the flow.

and Applied Analysis 3 a bounded domain of R3. Indeed, the analysis of our situation is still more difficult. The difficulties arise from the lack of smoothness of the weak solution. To overcome this difficulty a penalization argument is needed. This argument generalizes the penalization method given in 10 , for the Navier-Stokes equations, to this case of micropolar fluids. In fact, if we take...

The present paper aims at evaluating non-classical continuum parameters for each class of armchair and zigzag single-walled CNTs focusing on the scale effect in their flexural behavior observed molecular dynamics (MD) simulations. Through a non-linear optimization approach, bending rigidities obtained from atomistic simulations are compared to those derived continua. For MD simulations, novel m...

the present study deals with the analysis of the effects of radiative heat transfer of micropolar fluid flow over a porous and stretching sheet in the presence of magnetic field. the dynamic viscosity and thermal conductivity coefficient have formulated by temperature-dependent relations to obtain more exact results. the flow is supposed two-dimensional, incompressible, steady and laminar and t...

The Cauchy problem for one-dimensional flow of a compressible viscous heat-conducting micropolar fluid is considered. It is assumed that the fluid is thermodynamically perfect and polytropic. A corresponding initial-boundary value problem has a unique strong solution on ]0, 1[×]0, T [, for each T > 0. By using this result we construct a sequence of approximate solutions which converges to a sol...

Abstract: This paper deals with isotropic micropolar viscoelastic materials. It can be said that that kind of materials have two internal structures: the macrostructure, where the elasticity effects are noticed, and the microstructure, where the polarity of the material points allows them to rotate. We introduce, step by step, dissipation mechanisms in both structures, obtain the corresponding ...

Reticulated open cell polymer foams exhibit substantial size e↵ects in torsion and bending: slender specimens are more rigid than anticipated via classical elasticity. Such size e↵ects are predicted by Cosserat (micropolar) elasticity, which allows points to rotate as well as translate and incorporates distributed moments (couple stresses). The Cosserat characteristic length is larger than the ...

In this paper, the reflection and refraction of longitudinal wave from a plane surface separating a micropolar viscoelastic solid half space and a fluid saturated incompressible half space is studied. A longitudinal wave (P-wave) impinges obliquely at the interface. Amplitude ratios for various reflected and transmitted waves have been obtained. Then these amplitude ratios have been computed nu...