This paper investigates the nonlinear dispersion of a pollutant in non-isothermal incompressible flow temperature-dependent viscosity fluid rectangular channel filled with porous materials. The Brinkman-Forch-heimer effects are incorporated and is assumed to be variably permeable through channel. External injection, heat sources radiative flux Rossland approximation accounted for. system partia...

A new geometric modeling of isotropic highly-porous cellular media, e.g., open-cell metal, ceramic, and graphite foams, is developed. The modelling valid strictly for macroscopically two-dimensional heat transfer due to the fluid flow in media. Unlike current geometrical such model employs simple geometry, derived from equivalency conditions that are imposed on model’s geometry a priori, order ...

a numerical investigation of forced convection in a channel with hot solid block inside a square porous block mounted on a bottom wall was carried out. the lattice boltzmann method was applied for numerical simulations. the fluid flow in the porous media was simulated by brinkman-forchheimer model. the effects of parameters such as porosity and thermal conductivity ratio over flow pattern and t...

We prove a robustness of regularity result for the 3D convective Brinkman–Forchheimer equations ∂ t u − μ Δ + ( ⋅ ∇ ) p α β | r 1 = f , range absorption exponent ∈ [ 3 ] (for > there exist global-in-time regular solutions), i.e. we show that strong solutions these remain under small enough changes initial condition and forcing function. provide smallness which is similar to conditions given inc...