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Characterization of triply periodic minimal surface structures for heat and mass transfer applications
Stallard, Silven
Stallard, Silven
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Abstract
The objective of this dissertation is to characterize triply periodic minimal surface (TPMS) structures for heat and mass transfer applications. The investigation focuses on heat and mass transfer but can also impact a much wider range of scientific fields, as TPMS structures continue to be tested in new applications. Looking first at steady state applications, TPMS structures are put into context by comparing their evaluated effective properties to those of other common architected porous materials. This comparison of common porous materials yields two key conclusions: (i) TPMS structures have exceptionally consistent and high effective thermal conductivities across different types, and (ii) attempting to assess different types of porous materials over a range of porosities for a number of applications is a high dimensional problem that is nearly impossible to process manually.
Subsequently, congruent TPMS structures are categorized by their geometric features using a dimensional reduction process to handle the previously identified (i) similarity of TPMS structure features and (ii) high dimensionality of the problem. The geometric features of interest are porosity, tortuosity, solid thickness, channel width, and surface area. A well-known dimensional reduction process is neoterically applied to the geometric features to yield clusters of TPMS types. The clusters are then used to define categories with physical meanings and recommendations are provided to aid TPMS type selection.
Turning to transient applications, a novel analogy is established between 3D TPMS structures and 1D plane walls using the dimensionless conduction heat rate model (or q* model). The analogy allows the transient heat conduction of 3D TPMS structures to be predicted by using the exact or approximate solution for the plane wall subject to the same boundary condition. This analogy was developed with the constant surface temperature and constant surface heat flux boundary conditions. Developments are made to the q* model allowing it to be applied under convection boundary conditions or cyclic boundary conditions.
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Date
2025-12-31
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University of Kansas
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This item contains archived web content.
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Stallard_ku_0099D_20422.pdf
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- Embargoed until 2027-12-31