Work

The transient 1D dimensionless conduction heat rate approach applied to 3D TPMS structures

Year: 2025

Type: article

Abstract: • Transient conduction in 3D TPMS structures follows 1D plane wall behavior. • High-porosity structures mimic plane wall behavior better than low-porosity structures. • Simple expressions for dimensionless conduction heat rate can be applied to TPMS structures. Transient conduction within various three-dimensional, triply periodic minimal surface (TPMS) solid structures (Diamond, Primitive, Gyroid, I-WP) of porosities 0.5, 0.7, and 0.9 is predicted numerically. Computational predictions associated with either constant surface temperature or constant surface heat flux boundary conditions are reported in terms of (i) the familiar dimensionless energy transfer, Q / Q o , and (ii) the dimensionless conduction heat rate, q *, with dependence on the Fourier number, Fo . The predicted q * and Q/Q o responses for all twelve 3D TPMS structures considered here are in remarkably good agreement with the q * and Q/Q o histories determined by both (i) the exact solutions for q* and Q/Q o for the 1D plane wall and (ii) previously reported approximate solutions for q * and Q/Q o for the 1D plane wall. The demonstrated successful application of the simple and compact expressions for q *( Fo ) developed for the 1D plane wall to a broad range of complex 3D TPMS structures might be attributed to the zero mean curvature aspects of the TPMS solids.

Source: International Journal of Heat and Mass Transfer

DOI: 10.1016/j.ijheatmasstransfer.2025.127208

Authors: Silven Stallard, Theodore L. Bergman, Xianglin Li

Institutions: University of Kansas, Washington University in St. Louis

Language: English

Topic: Heat and Mass Transfer in Porous Media

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,220

Funder: Kansas NSF EPSCoR