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Discontinuities in material properties across the interfaces are accommodated by the use of a novel method (which we called divFEM) to integrate the finite element equations in which the elemental volume is divided by a local octree to an appropriate depth (resolution).
The results show that each optimized structure has not one but several elemental volume sizes, and that the volume elements situated far from the root of the tree are notably smaller.
Constructal design starts from the smallest scale (elemental volume) and proceeds toward larger and more complex assemblies of elements.
Similarly to other holographic printers, the printed hologram is composed as a two-dimensional array of elemental volume holograms.
Length scales smaller than the thickness of the elemental volume are reached by conduction through the solid heat-generating material.
The resulting structure had a 'uniform' distribution of interstitial spaces, because the size of the elemental volume was fixed.
Similar(39)
The optimal shape and the number of elemental volumes constituting the reactor are searched.
However, the mean sphere diameter and its local variation inside the representative elemental volumes only weakly affect the results.
Many such elements are assembled into disc-shaped constructs, or into sector-shaped constructs in which the elemental volumes are grouped into a formation shaped as a fan.
Several architecture types are optimized: one channel size versus two channel sizes, increasing complexity (first, second, and third constructs) and increasing size (up to 50 × 50 elemental volumes).
By conserving mass in an elemental control volume and applying transport rate equation, the following equation is obtained: - left[ {frac{2pi rhk}{mu }rho frac{partial p}{partial r}} right]_{r} = - left[ {frac{2pi rkh}{mu }rho frac{partial p}{partial r}} right]_{r + Delta r} +, 2pi rDelta rhfrac{partial }{partial t}left( {rho phi } right) (15).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com