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These results show the capability of the macroscopic model to analyze the behavior of the porous electrode.
In this work, we study the possibility of deriving a macroscopic model to describe reaction and transport by diffusion and convection of two species within a porous medium as encountered during in vitro tissue growth.
The ratio of the longitudinal length scale of deposition predicted by the macroscopic model to that given by the microscopic analysis is 0.85 for α = 0, decreasing monotonically to zero as α increases toward 1.
Instead of detecting each individual vehicle and then estimating its speed (microscopic model) as e.g. in [10, 11] we exploit a linear vehicle density-speed relationship for a road segment (macroscopic model) to derive vehicle speed from the estimated vehicle densities in an image.
It would be wrong to expect a macroscopic model to accurately reproduce microscopic quantities.
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Various macroscopic models to describe instability pattern formation are discussed in this paper.
Macroscopic models that treat battery components as continuous media will be the focus of this review while pore-scale sub-models that are integrated with macroscopic models to describe structural changes of battery components (mainly electrodes) will be presented and compared as well.
Many natural processes involve influential smaller scale effects, neglect of which can sometimes cause such macroscopic models to fail to capture important details adequately.
Under the local mass equilibrium assumption and a series of constraints on the parameters of the system that are identified, one obtains a one-equation macroscopic model corresponding to a dispersion-reaction equation.
The frame work consists of two simulation models: a flow-based macroscopic simulation model to simulate container terminals' operations, and a microscopic traffic simulation model to simulate freeway traffic networks adjacent to the terminals.
The effective medium approximation is used to relate explicitly the conductance of a macroscopic model stochastic network to the structural characteristics of its constituent microscopic elements.
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