Abstract In this paper we study the Brinkman system and Darcy-Forchheimer-Brinkman with boundary condition of Navier’s type $$ {\textbf{u}}_{{\mathbf {\mathcal {T}}}} = {\textbf{g}}_{{\mathbf u T = g , $$\rho =h$$...

The wavelet-based eddy capturing approach is extended to three-dimensional bluff body flows, where the flow geometry is enforced through Brinkman volume penalization. The wavelet-collocation/volume-penalization combined method is applied to the simulation of vortex shedding flow behind an isolated stationary prism with square cross-section. Wavelet-based direct numerical simulation is conducted...

A mixed variational formulation of the Brinkman problem is presented which is uniformly well–posed for degenerate (vanishing) coefficients under the hypothesis that a generalized Poincaré inequality holds. The construction of finite element schemes which inherit this property is then considered.

1 Names of Participants (alphabetically) Ron Brinkman, MMS; Chris Clark, Cornell University; John Diebold, LDEO; Peter Duncan, Microseismic Inc.; Rob Habiger, Spectraseis AG; Leila Hatch (Chair), NOAA; John Hildebrand, Scripps Institution of Oceanography; Phil Nash, Stingray Geophysical Ltd.; Jeremy Nedwell, Subacoustech; Dave Ridyard, EMGS; Rune Tenghamn, PGS; Peter van der Sman, Shell; Lindy ...

In this paper, the effect of suspended particles on thermal convection in an incompressible Rivlin-Ericksen elastico-viscous fluid in a porous medium is considered. For the porous medium, the Brinkman model is employed. By applying a normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, suspended particles, gr...

The purpose of this paper is to develop a layer potential analysis in order to show the well-posedness result of a crack type transmission problem for the Oseen and Brinkman systems in open sets in Rm (m ∈ {2, 3}) with Lipschitz boundaries when the boundary data belong to some Lq-spaces.

<p style='text-indent:20px;'>A phase field model for tumour growth is introduced that based on a Brinkman law convective velocity fields. The couples Cahn–Hilliard equation the evolution of to reaction-diffusion-advection nutrient and Brinkman–Stokes type fluid velocity. derived from basic thermodynamical principles, sharp interface limits are by matched asymptotics an existence theory pr...

Diamond and graphene are carbide nanoparticles that have valuable biomedical applications in cancer therapy drug delivery. The aim of this study is to analyze the couple stress nanofluid (blood–graphene/diamond) flow an asymmetric channel with effect viscous dissipation, electromagnetohydrodynamics (EMHD), Joule heating, velocity slip convective boundary conditions. mathematical model solved an...

This study investigates entropy generation due to the unsteady boundary layer flow of an Oldroyd-B nanofluid past a Riga plate. The velocity, temperature and concentration fields are obtained equations solved numerically using spectral collocation method with overlapping grids. local distribution is by solving equation numerically. Sensitivity convergence analysis performed demonstrate accuracy...