The numerical study of thin film type condensation in forced convection a saturated pure vapor an inclined wall covered with porous material is presented. generalized Darcy-Brinkman-Forchheimer (DBF) model used to describe the flow medium while classical boundary layer equations have been exploited case liquid. dimensionless are solved by implicit finite difference method and iterative Gauss-Se...

In this note, we consider the homogenization of compressible Navier-Stokes equations in a periodically perforated domain $\mathbb{R}^3$. Assuming that particle size scales like $\varepsilon^3$, where $\varepsilon>0$ is their mutual distance, and Mach number decreases fast enough, show limit $\varepsilon\to 0$, velocity density converge to solution incompressible with Brinkman term. We strongly ...

Background The present study aimed to determine and confront hand preference (hand chosen in priority to perform a manual dexterity task) and hand dominance (hand with best motor performance) in eight macaques (Macaca fascicularis) and in 20 human subjects (10 left-handers and 10 right-handers). Methods Four manual dexterity tests have been executed by the monkeys, over several weeks during lea...

Let S1 (the Schatten–von Neumann trace class) denote the Banach space of all compact linear operators T : `2 → `2 whose nuclear norm ‖T‖S1 = ∑∞ j=1 σj(T ) is finite, where {σj(T )} ∞ j=1 are the singular values of T . We prove that for arbitrarily large n ∈ N there exists a subset C ⊆ S1 with |C| = n that cannot be embedded with bi-Lipschitz distortion O(1) into any n-dimensional linear subspac...

Abstract We investigate the effects of anisotropic permeability and changing boundary conditions upon onset penetrative convection in a porous medium Darcy type Brinkman type. Attention is focussed on critical eigenfunctions which show how many cells will be found layer. The number shown to depend critically ratio vertical horizontal permeability, coefficient, upper condition for velocity may D...

This paper deals with the finite element approximation of Darcy–Brinkman- Forchheimer equation, involving a porous media spatially-varying porosity, mixed boundary condition such as inhomogeneous Dirichlet and traction conditions. We first prove that considered problem has unique solution if source terms are small enough. The convergence Taylor–Hood using interpolation porosity is then proved u...

The generalized Biot-Brinkman equations describe the displacement, pressures and fluxes in an elastic medium permeated by multiple viscous fluid networks can be used to study complex poromechanical interactions geophysics, biophysics other engineering sciences. These extend on Biot multiple-network poroelasticity one hand Brinkman flow models hand, as such embody a range of singular perturbatio...