for better understanding the effect of nanofluid flow in a porous medium, a set of experiments were conducted on a horizontal glass micromodel for al2o3-water nanofluids. to characterize the flow of nanofluids the same experiment was done by pure water. the glass micromodel was constructed by a photolithography technique. the al2o3-water nanofluids were produced by a two-step method and no surf...

A two-dimensional model is used to simulate the motion and deformation of a single mammalian red blood cell (RBC) flowing close to the wall of a microvessel, taking into account the effects of a porous endothelial surface layer (ESL) lining the vessel wall. Migration of RBCs away from the wall leads to the formation of a cell-depleted layer near the wall, which has a large effect on the resista...

We study theoretically the dynamics of porous ellipsoids rotating in simple shear flows. We use the Brinkman–Debye–Bueche (BDB) model to simulate flow within and through particles and solve the coupled Stokes–BDB equations to calculate the overall flow field and the rotation rate of porous ellipsoids. Our results show that the permeability has little effect on the rotational behaviour of partic...

The bio-thermal convection in a rotating layer of porous medium saturated with Newtonian fluid gyrotactic microorganisms is studied on the basis Darcy–Brinkman model. A linear analysis carried out using Galerkin method for rigid-rigid boundary conditions. In stationary regime, we obtained dispersion equation relation between thermal Rayleigh–Darcy number and bioconvection. influence Peclet numb...

The impacts of slip effects on the mixed convective flow a Casson fluid near stagnation point past vertical plate embedded in Darcy−Brinkman porous medium have been scrutinized. Assisting as well opposing flows are considered. Similarity equations obtained before being solved numerically using shooting method. Influences substantial parameters temperature distribution, velocity profile along wi...

Abstract The onset of natural convection in a fluid-saturated anisotropic porous layer, which rotates about the vertical axis, under hypothesis local thermal non-equilibrium, is analysed. Since porosity medium assumed to be high, more suitable Darcy-Brinkman model adopted. Linear instability analysis conduction solution carried out. Nonlinear stability with respect $$L^2$$ <mml:math xmlns:mml="...

In this study, the onset of convection in a rotating horizontal porous layer saturated by binary nanofluid was theoretically investigated under influence thermodiffusion and nanoparticles. To study convection, Darcy–Brinkman model employed for medium, thermal Rayleigh number derived analytically using linear stability analysis. Water–ammonia-based silver, copper, alumina, three nanofluids, were...

&lt;p style='text-indent:20px;'&gt;We consider three-dimensional (3D) Boussinesq convection system of an incompressible fluid in a closed sample porous medium. Specifically, we introduce and analyze 3D Brinkman-Forchheimer-Bénard problem describing the behavior medium between two plates heated from bottom cooled top. We show existence uniqueness global in-time solutions, absorbing balls &lt;inl...

We apply geometric multigrid methods for the finite element approximation of flow problems governed by Darcy and Brinkman systems used in modeling highly heterogeneous porous media. The method is based on divergence-conforming discontinuous Galerkin methods and overlapping, patch based domain decomposition smoothers. We show in benchmark experiments that the method is robust with respect to mes...