We develop here a particular version of the partial regularity theory for magneto-micropolar equations (MMP) where perturbation term is added. These are used in some special cases, such as study evolution liquid crystals or polymers, classical Navier–Stokes not an accurate enough model. The incompressible system composed three coupled equations: first one based system, second considers mainly m...

Using $$\Gamma $$ -convergence arguments, we construct a nonlinear membrane-like Cosserat shell model on curvy reference configuration starting from geometrically nonlinear, physically linear three-dimensional isotropic model. Even if the theory is of order O(h) in thickness h, by comparison to membrane models proposed classical elasticity, beside change metric, still capable capturing transver...

In this paper we present a modiication of the CORDIC algorithm which reduces the number of iterations almost to half by merging two successive iterations of the basic algorithm. The two coeecients per iteration are obtained with only a small increase in the cycle time by estimating one of the coeecients. A correcting iteration method is used to correct the possible errors produced by the estima...

The Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid saturated non-Darcy porous medium with heat and mass flux conditions are investigated. The non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms using similarity transformatio...

This paper presents an incompressible two-dimensional heat and mass transfer of an electrically conducting micropolar fluid flow in a porous medium between two parallel plates with chemical reaction, Hall and ion slip effects. Let there be periodic injection or suction at the lower and upper plates and the nonuniform temperature and concentration at the plates are varying periodically with time...

Unsteady boundary layer flow of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane is studied in this paper. The stretching velocity is 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, keeping the origin fixed in a micropolar flui...

The problem of reflection and transmission of plane waves at an imperfect boundary between two thermally conducting micropolar elastic solid half spaces with two temperature is investigated. Amplitude ratio of various reflected and transmitted waves are presented when a set of coupled longitudinal wave (LD-wave) and thermal wave (T-wave) and a set of coupled transverse wave and microrotation wa...

The present paper deals with the study of flow, heat and mass transfer characteristics of the free convection on a vertical plate in porous media with variable wall temperature and concentration in a doubly stratified and viscous dissipating micropolar fluid in presence of chemical reaction, heat generation and Ohmic heating. A uniform magnetic field is applied normal to the plate. The governin...

Abstract In this article, we present the Laguerre wavelet exact Parseval frame method (LWPM) for two-dimensional flow of a rotating micropolar fluid in porous channel with huge mass transfer. This is governed by highly nonlinear coupled partial differential equations (PDEs) are reduced to ordinary (ODEs) using Berman's similarity transformation before being solved numerically method. We also co...

Pure bending experiments on prismatic bars of square cross-section composed of reticulated polymer foam exhibit deformation behavior not captured by classical elasticity theory. Perhaps the clearest example of this is the observed sigmoidal deformation of the bars’ lateral surfaces, which are predicted by classical elasticity theory to tilt but remain planar upon pure moment application. Such f...