The paper aims at investigating the effects of chemical reaction and thermal radiation on the steady two-dimensional laminar flow of viscous incompressible electrically conducting micropolar fluid past a stretching surface embedded in a non-Darcian porous medium. The radiative heat flux is assumed to follow Rosseland approximation. The governing equations of momentum, angular momentum, energy, ...

A numerical solution of the steady boundary layer equations under similarity assumptions is obtained for the three-dimensional flow of a micropolar fluid over a continuous stretching surface. The case when microrotation vector is zero on the solid surface is considered. Using properly similarity variables, the three-dimensional Navier – Stokes equations are reduced to a set of four coupled non-...

An initial-boundary value problem for 1D flow of a compressible viscous heat-conducting micropolar fluid is considered; the fluid is thermodynamically perfect and polytropic. Assuming that the initial data are Hölder continuous on 0, 1 and transforming the original problem into homogeneous one, we prove that the state function is Hölder continuous on 0, 1 × 0, T , for each T > 0. The proof is b...

In this paper we study the magneto-micropolar fluid equations in R, prove the existence of the strong solution with initial data in H(R) for s > 3 2 , and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda type blow-up criterion for smooth solution (u, ω, b) which relies on the vorticity of velocity ∇× u only.

The micropolar fluid mechanics and its transport coefficients are derived from the linearized Boltzmann equation of rotating particles. In the dilute limit, as expected, transport coefficients relating to microrotation are not important, but the results are useful for the description of collisional granular flow on an inclined slope. (This paper will be published in Traffic and Granular Flows 2...

In this paper, we establish a regularity criterion for micropolar fluid flows in terms of the one component velocity critical Morrey-Campanato space. More precisely, show that if ...<?, where 0<r<9/10 then weak solution (u,w) is regular.