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

IF 5 2区工程技术 Q1 ENGINEERING, MECHANICAL

International Journal of Heat and Mass Transfer Pub Date : 2025-05-09 DOI:10.1016/j.ijheatmasstransfer.2025.127208

Silven Stallard , Theodore L. Bergman , Xianglin Li

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引用次数: 0

Abstract

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.

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瞬态一维无量纲导热率方法应用于三维TPMS结构

数值预测了孔隙度为0.5、0.7和0.9的三维三周期最小表面（TPMS）固体结构（Diamond、Primitive、Gyroid、I-WP）中的瞬态导通。根据(i)熟悉的无量纲能量传递Q/Qo和（ii）依赖于傅里叶数Fo的无量纲导热率Q *，报告了与恒定表面温度或恒定表面热流边界条件相关的计算预测。本文所考虑的所有12种3D TPMS结构的预测q*和q /Qo响应与q*和q /Qo历史非常吻合，这两个历史由(i)一维平面壁的q*和q /Qo的精确解和（ii）先前报道的一维平面壁的q*和q /Qo的近似解确定。为一维平面壁开发的q*(Fo)的简单紧凑表达式成功应用于广泛的复杂3D TPMS结构，这可能归因于TPMS固体的零平均曲率方面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Heat and Mass Transfer 工程技术-工程：机械

CiteScore

10.30

自引率

13.50%

发文量

1319

审稿时长

41 days

期刊介绍： International Journal of Heat and Mass Transfer is the vehicle for the exchange of basic ideas in heat and mass transfer between research workers and engineers throughout the world. It focuses on both analytical and experimental research, with an emphasis on contributions which increase the basic understanding of transfer processes and their application to engineering problems. Topics include: -New methods of measuring and/or correlating transport-property data -Energy engineering -Environmental applications of heat and/or mass transfer