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In Case 2, the numerical model is validated against an analytical solution for flow in a semi-infinite pipe.
However, excessive pressure drop is not beneficial for realistic applications of a fuel-cell stack and hence enhanced manifold width is a better solution for flow distribution.
The numerical solution for flow into lined tunnels without drainage layer using a transfer (Cauchy type, or 3rd-kind) boundary condition produces lower inflows compared to using a specified head (Dirichlet type, or 1st-kind) boundary condition.
They are close to the laminar type approximate analytical solution for flow in a pipe, where the mean velocity equals the inlet flux divided by the particle density and volume fraction.
The possibility to design such a third-order compact scheme is due to the high-order gas evolution model, where a time-dependent gas distribution function at cell interface not only provides the fluxes across a cell interface, but also presents a time accurate solution for flow variables at cell interface.
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Fully resolved solutions for flow past a cylinder have been computed over a range of Reynolds numbers from 1000 to 9500.
The model contains fully 3-D solutions for flow and transport in the saturated zone, as well as two-dimensional solutions for vertical cross-sectional and areal scenarios.
Furthermore, comparison with finite element solutions for flow past a regular lattice of cylinders shows close agreement for the velocity and pressure fields.
Two polymer additives, i.e. carboxymethylcellulose (CMC) and polyacrylamide (PAA) powders, were added to Newtonian glycerin-water solutions for flow experiments.
Analytical solutions for flow rate, pressure, and permeate flux, which vary with time and distance, are developed for a cross flow filter in a narrow rectangular domain with either one or two permeable walls.
This is the first work that presents approximate early and late time solutions for flow from fractures that have a circular geometry where the inter porosity transfer function is model with an unsteady state function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com