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...

The advantage of a smooth representation bathymetry in terrain-following σ-coordinate ocean models is compromised by the need to avoid numerical errors on steep slopes associated with pressure gradient discretization or spurious diapycnal diffusion. Geopotential z-coordinate these errors, but greatly underrepresent interaction flow topographic slope, especially when underresolved. Hybrid coordi...

Background: One characteristic of lung dysfunction is obstruction airflow in the respiratory tract. The prevalence COPD as function disorder among men Indonesia 3.7% and 2.7% DKI Jakarta. causes decreased smoking. A large portion UPN Veteran Jakarta employees smoker. This research was aimed to determine risk factors Method: cross sectional study conducted from April May 2019 Total 102 samples w...

The problem of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium with the Maxwell-Cattaneo law and MFD viscosity is investigated by method small perturbation. motion described using Brinkman model. It assumed that solid matrices are local thermal equilibrium. For simplified boundary conditions, eigenvalue solved exactly, closed form solutions for stationary instability...

At the outset, this work aims to carried out an analytical investigation of forced convection by establishing a laminar flow into circular duct under convective boundary conditions third type for non-Newtonian nanofluid, fluid containing TiO2 uniformly dispersed in aqueous solution with 0.5wt% CMC solutions (Carboxymethyl Cellulose) is used as working fluid. The viscous dissipation effects are ...

The present paper prescribes upper bounds for oscillatory motions of neutral or growing amplitude in thermohaline configurations of G. Veronis [1] and M. E. Stern [2] types in porous medium in such a way that it also results in sufficient conditions of stability for an initially top heavy as well as initially bottom heavy configuration.

This paper introduces the hybrid wavelet collocation–Brinkman penalization method for solving the Navier–Stokes equations in arbitrarily complex geometries. The main advantages of the wavelet collocation method and penalization techniques are described, and a brief summary of their implementation is given. The hybrid method is then applied to a simple ow around cylinders with both periodic and ...