Two dimensional steady, laminar and incompressible motion of a micropolar fluid between an impermeable disk and a permeable disk is considered to investigate the influence of the Reynolds number and the micropolar structure on the flow characteristics. The main flow stream is superimposed by constant injection velocity at the porous disk. An extension of Von Karman’s similarity transformations ...

Abstract A boundary layer analysis is presented for the fluid flow and heat transfer characteristics of an incompressible micropolar fluid flowing over a plane moving surface in parallel or in reverse to the free stream. The isothermal boundary condition has been treated in this paper. The resulting system of non-linear ordinary differential equations is solved by the multi-stage continuous Run...

Micropolar fluids are with microstructure and belong to a class of asymmetric stress tensor that called Polar fluids, include, as special case, the well-established Navier–Stokes model. In this work we study 3D micropolar model Navier boundary conditions without friction for velocity field homogeneous Dirichlet angular velocity. Using Galerkin method, prove existence weak solutions establish Pr...

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...

The objectives of the present study are investigate the unsteady two-dimensional laminar flow of a viscous dissipative micropolar fluid past a semi-infinite, vertical porous plate moving steadily and subjected to a thermal radiation and mass transfer. The plate moves with constant velocity in the longitudinal direction and free stream velocity follows an exponentially small perturbation law. Th...

Decay of the Kinetic and the Thermal Energy of Compressible Micropolar Fluids. We consider a heat conducting compressible micropolar fluid at rest and filling a closed stationary rigid container. We show that tim energy of arbitrary disturbances of the fluid eventually decays. Abnahme der kinetischcn und der thermischen Energie kompressibler mikropolarcr Fliissigkeiten. Betrachtet wird eine ruh...

The effect of temperature-dependent viscosity on heat transfer over a continuous moving surface with variable internal heat generation in micropolar fluids is studied. The fluid viscosity is assumed to vary as inverse linear function of temperature. The governing equations are transformed into dimensionless forms using the stream function and suitable variables then solved numerically using the...