The H(div)-conforming approach for the Brinkman equation is studied numerically, verifying the theoretical a priori and a posteriori analysis in [21, 22]. We also present a hybridization technique for the problem, complete with convergence analysis and numerical verication. In addition, diffent boundary conditions and their enforcing along with the applicability of the method to some subsurface...

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 flow around cylinders with both periodic an...

Abstract The present communication presents a theoretical study of blood flow through stenotic artery with porous wall comprising Brinkman and Darcy layers. governing equations describing the subjected to boundary conditions have been solved analytically under low Reynolds number mild stenosis assumptions. Some special cases problem are also presented mathematically. significant effects rheolog...

Christian R. Marshall, Joanne A. Fox, Stefanie L. Butland, B. F. Francis Ouellette, Fiona S. L. Brinkman, and Glen F. Tibbits Department of Molecular Biology and Biochemistry, Simon Fraser University, Burnaby; Cardiovascular Sciences, British Columbia Research Institute for Children’s and Women’s Health, Vancouver; Cardiac Membrane Research Laboratory, Simon Fraser University, Burnaby; and Univ...

The method of matched asymptotic expansions is used to investigate the problem thermophoresis migration an aerosol spherical particle immersed in a porous medium saturated by viscous fluid at small non-zero Péclet number Pe. A uniform temperature gradient imposed on system parallel diameter opposite direction z axis. It assumed that Knudsen range slip flow through pores and compatible with assu...

Abstract—This work consists of a numerical simulation of convective heat transfer in a vertical plane channel filled with a heat generating porous medium, in the absence of local thermal equilibrium. The walls are maintained to a constant temperature and the inlet velocity is uniform. The dynamic range is described by the Darcy-Brinkman model and the thermal field by two energy equations model....

The pressure drop in microchannels filled with porous media formed by square arrays of cylinders (micro-porous channels) is investigated. Combining the Brinkman equation and the existing models for permeability of regular arrays of cylinders, the pressure drop in the considered micro-porous channels is calculated theoretically. Soft lithography method is used to fabricate several Polydimethylsi...

To evaluate the effect of cigarette smoking on oxidative stress in lung tissues, we compared the levels of a type of oxidative DNA damage, 8-hydroxydeoxyguanosine (8-OH-dG), in tissue obtained from the central sites of lungs from 14 current smokers, seven ex-smokers and nine non-smokers. The mean level of 8-OH-dG in the lung tissues from smokers was 1.43-fold higher than that of the non-smokers...

In the present study, the flow and heat transfer characteristics of a nanofluid in an expanding or contracting porous channel with different permeabilities in presence of thermal radiation are investigated. Analytical solutions for the flow variables are obtained by employing homotopy analysis method (HAM). Maxwell-Garnetts and Brinkman models are considered to calculate the thermal conductivit...