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These are: continuum models, bundle of tubes models, numerical methods and pore-scale network modeling.
The first theoretical pore model was invented nearly a century ago when bundle of tubes were used to represent the void space inside a porous medium (Washburn 1921).
At the heart of these systems is the solar receiver, composed of a bundle of tubes which contain the solid suspension used as the thermal energy carrier.
We show that the bundle of tubes models overestimate apparent permeability by factors between 1.52 and 153, due to the non-trivial dependence of flow on pore space connectivity and shape.
We finally demonstrate the utility of the LEV-LBM by simulating pure methane flow in digital reconstructions of nanoporous organic matter at reservoir conditions, and compare the results to bundle of tubes models.
The receiver consists of a bundle of tubes parallel to the mirror arrays, resulting on a smaller cross section for the same receiver width as the number of tubes increases, due to the diminution of their diameter.
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The tortuous fractal model simplifies to the bundle-of-tubes model when the tortuosity fractal dimension is equal to unity.
The bundle-of-tubes model was crucial for the development of the field of pore-scale modeling because its simplicity was appealing (Purcell 1949).
Researchers have revised the bundle-of-tubes model to account for the fractal features of pore space (Cai et al. 2010; Cai and Yu 2011), which allow them to capture imbibition more accurately.
Films of pure SWCNTs were in the form of a network of interconnected bundles of tubes.
The comparison between the correlation predictions for the non-tubular heater and slotted or tubular heaters of well-known prototypes shows possible applications for heaters that reach high Reynolds numbers and that encounter practical problems associated with the use of bundles of tubes.
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