Pore scale numerical simulations for wicking performance of metallic woven mesh

doi:10.11949/0438-1157.20230238

Abstract

Abstract:

Metallic woven meshes have received considerable attention in several engineering applications as filtration, catalysis, heat transfer enhancement and explosion suppression owing to their merits of controllable pore structure, high specific surface area, high mechanical strength and low price. In order to characterize their capillary performance, firstly, the detailed geometrical dimensions of four kinds of square-shaped plain weave wire screen with different mesh numbers were measured. Then a numerical model was developed to evaluate the fluid dynamics of a porous woven mesh at the pore scale. Finally, based on the pore scale numerical results, the effects of wire diameter and mesh number on porosity, specific surface area and permeability were analyzed. The study found that the Kozeny-Carman formula can better predict the permeability relationship of wire mesh at low flow rates (less than 0.01 m/s), and the geometric factor has a logarithmic relationship with the mesh diameter. While at high flow rates (larger than 0.01 m/s), the flow regime transition from Darcy to Forchheimer, the inertial contribution can not be neglected. The Darcy and non-Darcy permeability coefficient can be obtained by Forchheimer correlation, and the relationship between permeability and porosity and wire diameter is modified according to Kozeny-like model. The obtained fitting formulae between geometric structure and capillary performance of plain woven wire mesh provide a design guideline for the metallic woven mesh used for wicking and transpiration cooling.

Key words: metallic woven mesh, porous media, pore scale, permeability, wicking performance, laminar flow

摘要：

金属丝网多孔材料由于其孔隙可控、高比表面积、高强度和价格低廉的特点，在过滤、催化、高效换热以及防爆领域引起广泛关注。为表征其毛细特性，测量了四种不同规格的铜丝网几何尺寸，并建立了平纹方形编织金属丝网的单元孔隙结构模型。分析了丝径、孔径对孔隙率、比表面积、渗透率的影响。研究发现：Kozeny-Carman公式可以较好预测低流速(小于0.01 m/s)下的金属丝网渗透率关系，其中几何因子与丝网网径成对数关系。流速大于0.01 m/s时，惯性效应的影响不能忽略，通过Forchheimer公式得到Darcy渗透系数和非Darcy渗透系数，并根据类Kozeny模型修正了渗透系数与孔隙率和丝径的关系。研究得到了平纹编织丝网几何结构与毛细特性的拟合关系，为吸液蒸发用金属丝网提供了设计依据。

关键词: 金属丝网, 多孔介质, 孔隙尺度, 渗透率, 毛细特性, 层流

CLC Number:

TQ 028.8

Xiaoyu JIA, Jian YANG, Bo WANG, Mei LIN, Qiuwang WANG. Pore scale numerical simulations for wicking performance of metallic woven mesh[J]. CIESC Journal, 2023, 74(5): 1928-1938.

贾晓宇, 杨剑, 王博, 林梅, 王秋旺. 金属丝网毛细特性的孔隙尺度数值分析[J]. 化工学报, 2023, 74(5): 1928-1938.

Figures/Tables 13

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孔隙参数	Ⅰ型	Ⅱ型	Ⅲ型	Ⅳ型
丝径d /μm	67.0	50.4	38.8	38.0
网孔径L /μm	304	177	109	77.0
计算孔隙率ε	0.855	0.820	0.784	0.722
实验孔隙率ε	0.801	0.772	0.749	0.727
计算比表面积α/μm^-1	0.00866	0.0143	0.0223	0.0293
计算开口面积比β	0.671	0.606	0.543	0.448
水力孔径d_p/μm	73.5	50.9	35.7	29.7

孔隙参数	Ⅰ型	Ⅱ型	Ⅲ型	Ⅳ型
丝径d /μm	67.0	50.4	38.8	38.0
网孔径L /μm	304	177	109	77.0
计算孔隙率ε	0.855	0.820	0.784	0.722
实验孔隙率ε	0.801	0.772	0.749	0.727
计算比表面积α/μm^-1	0.00866	0.0143	0.0223	0.0293
计算开口面积比β	0.671	0.606	0.543	0.448
水力孔径d_p/μm	73.5	50.9	35.7	29.7

接触形式	网格	孔隙率ε	比表面积α/μm^-1	单位压降/(Pa/m)	出口速度/(m/s)	渗透率/(10^-11m²)
间隙型	268821	0.728	0.0287	130763	0.00860	6.58
	739181			131355	0.00860	6.55
	3296537			131671	0.00859	6.53
接触型	364729	0.725	0.0289	134175	0.00859	6.40
	864167			134611	0.00859	6.38
	1722949			134771	0.00858	6.37
重叠型	422303	0.723	0.0289	137610	0.00858	6.23
	988937			141090	0.00858	6.08
	3574513			144686	0.00857	5.93

接触形式	网格	孔隙率ε	比表面积α/μm^-1	单位压降/(Pa/m)	出口速度/(m/s)	渗透率/(10^-11m²)
间隙型	268821	0.728	0.0287	130763	0.00860	6.58
	739181			131355	0.00860	6.55
	3296537			131671	0.00859	6.53
接触型	364729	0.725	0.0289	134175	0.00859	6.40
	864167			134611	0.00859	6.38
	1722949			134771	0.00858	6.37
重叠型	422303	0.723	0.0289	137610	0.00858	6.23
	988937			141090	0.00858	6.08
	3574513			144686	0.00857	5.93

规格	丝径d/μm	网径L/μm	孔隙率ε	比表面积α/μm^-1	渗透率K/(10^-10m²)	Darcy渗透率K₁/(10^-10m²)	非Darcy渗透率K₂/(10^-5 m)
Ⅳ型	38.0	77.0	0.728	0.0288	0.654	8.16	3.56
Ⅲ型	38.8	109	0.788	0.0219	1.16	1.38	6.06
Ⅱ型	50.4	172	0.820	0.0143	2.63	3.07	10.8
Ⅰ型	67.1	304	0.857	0.00854	6.88	7.82	21.7