Theory of Micropolar Fluids

Micropolar Fluids with Vanishing Viscosity

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...

Fundamental solutions for micropolar fluids

New fundamental solutions for micropolar fluids are derived in explicit form for twoand threedimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the twoand three-dimensional micropolar Stokes couplet, the three-dimensional micropolar Oseenlet, and the three-dimensional micropolar Oseen couplet. These fu...

Thermosolutal Convection of Micropolar Rotating Fluids Saturating a Porous Medium

Double-diffusive convection in a micropolar fluid layer heated and soluted from below in the presence of uniform rotation saturating a porous medium is theoretically investigated. An exact solution is obtained for a flat fluid layer contained between two free boundaries. To study the onset of convection, a linear stability analysis theory and normal mode analysis method have been used. For the ...

Theory and simulation of micropolar fluid dynamics

This paper reviews the fundamentals of micropolar fluid dynamics (MFD), and proposes a numerical scheme integrating Chorin’s projection method and time-centred split method (TCSM) for solving unsteady forms of MFD equations. It has been known that Navier–Stokes equations are incapable of explaining the phenomena at micro and nano scales. On the contrary, MFD can naturally pick up the physical p...

A Mixture Theory for Micropolar Thermoelastic Solids