It is well known that the permeability and density of an aggregate decreases with its size, affecting its settling velocity and coagulation rate (rate of particle capture) with other particles. This change in aggregate density with size can be described by fractal scaling relationships. Two distinctly different fractal scaling approaches, however, have been used to describe aggregate permeabili...

Effects of the bounding solid walls are examined numerically for slow flow over regular, square arrays of circular cylinders between two parallel plates. A local magnitude of the rate of entropy generation is used effectively to determine the flow region affected by the presence of the solid boundary. Computed axial pressure gradients are compared to the corresponding solution based on the Darc...

Among the motions of a fluid over a plane wall, the Stokes’ problems as well as the motion induced by a constantly accelerating plate have been extensively studied in the literature. However, the first closed-form solutions for the motion of a viscous fluid over an oscillating plate have been late enough obtained by Erdogan [1]. These solutions, as well as those corresponding to the fluid motio...

<p style='text-indent:20px;'>This paper presents a hybridized weak Galerkin (HWG) finite element method for solving the Brinkman equations. Mathematically, equations can model Stokes and Darcy flows in unified framework so as to describe fluid motion porous media with fractures. Numerical schemes equations, therefore, must be designed tackle at same time. We demonstrate that HWG is capabl...

A solid tumor is investigated as porous media for fluid flow simulation. Most of the studies use Darcy model for porous media. In Darcy model, the fluid friction is neglected and a few simplified assumptions are implemented. In this study, the effect of these assumptions is studied by considering Brinkman model. A multiscale mathematical method which calculates fluid flow to a solid tumor is us...

The equilibrium partition coefficient (K) and diffusion coefficient (Dgel) of two proteins and two linear polymers were measured as a function of polymer content of a 2.7% cross-linked polyacrylamide (PA) gel. The gel concentration, expressed as a volume percentage of PA in the gel (phi), varied between 0 and 14%. The measurements were made by fluorescence spectroscopy; fluorescent dyes were co...

In this paper, we study the existence of global attractor a class three-dimensional Brinkman-Forchheimer equation in some unbounded domains which satisfies Poincaré inequality. We use tail estimation method to establish asymptotic compactness solution operator and then prove [see formula PDF].

Brown, D. R. N., T. J. Brinkman, G. P. Neufeld, L. S. Navarro, C. H. Cold, B. Woods, and Ervin. 2022. Geospatial patterns models of subsistence land use in rural Interior Alaska. Ecology Society 27(2):23. https://doi.org/10.5751/ES-13256-270223