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...

We study a Cauchy-Dirichlet problem with homogeneous boundary conditions on the parabolic boundary of a space-time cylinder for degenerate porous medium type equations with low order terms and a non-negative, finite Radon measure on the right-hand side. The central objective is to acquire linear pointwise estimates for weak solutions in terms of Riesz potentials. Our main result, Theorem 1.1, g...

Sodium borohydride (NaBH4) hydrogen storage systems offer many advantages for hydrogen storage applications. The physical processes inside a NaBH4 packed bed reactor involve multi-component and multi-phase flow and multi-mode heat and mass transfer. These processes are also coupled with reaction kinetics. To guide reactor design and optimization, a reactor model involving all of these processes...

Sodium borohydride (NaBH4) hydrogen storage systems offer many advantages for hydrogen storage applications. The physical processes nside a NaBH4 packed bed reactor involve multi-component and multi-phase flow and multi-mode heat and mass transfer. These processes are lso coupled with reaction kinetics. To guide reactor design and optimization, a reactor model involving all of these processes i...

The main purpose of this work is to investigate the porous medium and diffusion-thermo effects on unsteady combined convection magneto hydrodynamics boundary layer flow of viscous electrically conducting fluid over a vertical permeable surface embedded in a high porous medium, in the presence of first order chemical reaction and thermal radiation. The slip boundary condition is applied at the p...

Recommended by Michel Chipot The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the porous medium equation u t = Δu m + λ|u| p−1 u − βu,0 < m < 1, is studied. Sufficient conditions about the extinction and decay estimates of solutions are obtained by using L p-integral model estimate methods and two crucial lemmas on differential inequality .

Multigrid methods are described for solving the pressure equation arising from a finite element discretization of the equations modeling the flow of two immiscible and in-compressible fluids in a heterogeneous porous medium. Comparisons are made between the performance of these methods and a preconditioned conjugate gradient algorithm by solving some two dimensional five spot problems on both h...

In this paper, conjugate heat transfer of magneto hydrodynamic mixed convection of nanofluid about a vertical slender hollow cylinder embedded in a porous medium with high porosity have been numerically studied. The Forchheimer’s modification of Darcy’s law was used in representing the nanofluid motion inside the porous media. The governing boundary layer equations were transformed to non-dimen...