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The simulations of the alloys considered show good agreement with the expected macroscopic fluid flow behavior.
The dynamic model comprehensively considered the macroscopic fluid flow, microscopic diffusion, heat transfer and electrochemical/chemical reactions in the TSOEC.
This allowed us to conclude that, at the leading order, the macroscopic fluid flow is mostly determined by that occurring in the most permeable fluid network.
where ρ is the density of the fluid and ω i is the weight function, which has the values of ω 0 = 4 9, ω i = 1 9 for i = 1 to 4, and ω i = 1 36 for i = 5 to 8. The macroscopic fluid flow velocity in lattice units is represented by u.
Although various methods such as a "bundle of capillary tubes" conceptual approach were applied in the literature to theoretically model hydraulic conductivity in term of water saturation, in this study we invoke percolation theory, which quantifies the effect of the interconnectivity of pores on the macroscopic fluid flow.
While there is certainly pulsatile flow within other compartments, such as interstitial fluid and the brain parenchyma itself, we will focus primarily on macroscopic fluid flow which is readily accessible with noninvasive measurement techniques.
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The macroscopic fluid converge refers to the fluid flow of the system during a complete cycle.
The lattice Boltzmann method is a microscopic-based approach for solving the fluid flow problems at the macroscopic scales.
Heat convection occurs by macroscopic fluid motion, e.g., when a fluid is flowing along a surface and has a different temperature than the solid surface.
Let us recall that all deterministic macroscopic models are based on analogy with ideal fluid flow.
Using fully resolved finite element (FE) simulations of Newtonian, incompressible fluid flow perpendicular to the fibers, the macroscopic permeability is calculated in the creeping flow regime for arrays of random, ideal, perfectly parallel fibers.
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