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Since flow path geometry in natural systems is often ill-characterized macroscopic (mean) flow rates and dispersion tensors are utilized in order to account for the sub-model scale microscopic fluctuations in media structure (and the consequent hydrodynamic profile).
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Mean flow velocity.
This applies especially in formations with typical flow barriers which are small in a direction perpendicular to the mean flow, relative to their size in the direction parallel to the mean flow (large aspect ratio, e), and in formations of fine-textured soil materials with significant capillary forces (large macroscopic capillary length scale, λ).
(a) Mean flow rate; (b) Flow fairness.
The rock-forming plagioclases can seldom be identified as to species by macroscopic means.
Except for its green variety, usually called amazonstone or amazonite, microcline can seldom be distinguished from orthoclase by macroscopic means.
In this paper, we macroscopically describe the traffic dynamics in heterogeneous transportation urban networks by utilizing the Macroscopic Fundamental Diagram (MFD), a widely observed relation between network-wide space-mean flow and density of vehicles.
Slowing down means that the macroscopic flow velocity of the test particles adjusts to the flow velocity of the plasma background, described by a shifted Maxwellian.
Its name means flowing water in Māori.
Thus, we propose a hybrid approach combining both macroscopic and microscopic traffic flow models as an improvement to [19], where we used only the macroscopic traffic flow model.
It aims at predicting macroscopic liquid flow and mixing time.
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