多孔介质传热模型在多孔壁湍流中的适用性

赵泽灏; 张金龙; 董宇红

doi:10.7638/kqdlxxb-2023.0084

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多孔介质传热模型在多孔壁湍流中的适用性

研究论文 | 更新时间：2026-07-27

- 多孔介质传热模型在多孔壁湍流中的适用性
- Heat transfer models for porous media in porous-walled turbulent flows
- 空气动力学学报 2024年42卷第1期页码：45-54
- 作者机构：
  
  1. 上海大学力学与工程科学学院，上海市应用数学和力学研究所,上海,200072
  2. 上海市能源工程力学重点实验室，上海飞行器力学与控制研究院,上海,200072
- 作者简介：
  
  赵泽灏（1998—），男，上海人，硕士研究生，研究方向：湍流和传热传质. E-mail：826900435@qq.com
  董宇红*，教授，研究方向：湍流，多相流和传热传质. E-mail：dongyh@shu.edu.cn
- 基金信息：
  
  国家自然科学基金（12172207，92052201）
- DOI：10.7638/kqdlxxb-2023.0084
  中图分类号： O357.5+3;TB741
- 纸质出版：2024
- 稿件说明：
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赵泽灏, 张金龙, 董宇红. 多孔介质传热模型在多孔壁湍流中的适用性[J]. 空气动力学学报, 2024, 42(1): 45−54.

ZHAO Zehao, ZHANG Jinlong, DONG Yuhong. Heat transfer models for porous media in porous-walled turbulent flows[J]. 2024, 42(1): 45-54.
赵泽灏, 张金龙, 董宇红. 多孔介质传热模型在多孔壁湍流中的适用性[J]. 空气动力学学报, 2024, 42(1): 45−54. DOI： 10.7638/kqdlxxb-2023.0084

ZHAO Zehao, ZHANG Jinlong, DONG Yuhong. Heat transfer models for porous media in porous-walled turbulent flows[J]. 2024, 42(1): 45-54. DOI： 10.7638/kqdlxxb-2023.0084.

摘要

为了考查不同的多孔介质传热模型在不同工况下的适用性，对带有高孔隙率多孔介质壁面槽道湍流及其传热进行了直接数值模拟研究。在多孔介质层外流体区域，通过有限差分方法求解不可压缩 Navier-Stokes 方程和温度对流扩散方程；在多孔介质层内，使用修正的Darcy-Brinkman-Forchheimer模型描述高孔隙率多孔介质阻力，以及分别采用局部热平衡（local thermal equilibrium

LTE）模型、局部非热平衡（local thermal non-equilibrium

LTNE）模型、理想金属（ideal metal foams

IMF）模型计算温度分布。通过对所得热场的统计特性的分析比较，探究了不同Biot数下水和空气两类流体介质的多孔介质传热模型的有效性。研究表明：LTE模型不足以准确预测金属泡沫多孔介质内传热问题，其等效导热系数因仅考虑孔隙率因素而低估了多孔介质层的传热能力；IMF模型在小比热容流体介质的算例中表现良好，可以代替LTNE描述多孔介质层内的传热，而在大比热容流体介质的算例中表现不佳，需要考虑比热容以及流固两相间的传热能力对预估的固体相温度分布进行修正。

Abstract

In order to evaluate the validity of different heat transfer models in porous media under different conditions

this paper uses direct numerical simulation to investigate turbulent flow and heat transfer in channels with high porosity porous media layer. The incompressible Navier-Stokes equations and the temperature convection-diffusion equation are solved by the finite difference method in the fluid region out of the porous layer. The modified Darcy-Brinkman-Forchheimer model is used to describe the resistance of porous media with high porosity in the porous media layer. The local thermal equilibrium (LTE) model

the local thermal non-equilibrium (LTNE) model

and the ideal metal foams (IMF) model are used to calculate the temperature distribution in the porous media layer

respectively. We explore the effectiveness of heat transfer models for porous media under different Biot numbers and two types of fluid media

i.e.

water or air

by analyzing and comparing the statistical characteristics of the obtained thermal fields. The results show that the LTE model cannot accurately predict the heat transfer problem in the porous media of metal foam

and its equivalent thermal conductivity underestimates the heat transfer capacity of the porous media layer because only the porosity is considered. The IMF model performs well in the case of a fluid medium with small heat capacity and can replace LTNE to describe the heat transfer in porous media. In contrast

it does not perform well in the case of a fluid medium with a large specific heat capacity; it is necessary to consider the heat capacity and the heat transfer ability between the two phases to modify the estimated solid phase temperature distribution.

关键词

Keywords

references

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