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含湿相变粗糙多孔材质的热质耦合分形研究

高伟业 张赛 张杰 胡世旺 汪振毅

高伟业,张赛,张杰,胡世旺,汪振毅. 含湿相变粗糙多孔材质的热质耦合分形研究 [J]. 应用数学和力学,2022,43(5):561-568 doi: 10.21656/1000-0887.420328
引用本文: 高伟业,张赛,张杰,胡世旺,汪振毅. 含湿相变粗糙多孔材质的热质耦合分形研究 [J]. 应用数学和力学,2022,43(5):561-568 doi: 10.21656/1000-0887.420328
GAO Weiye, ZHANG Sai, ZHANG Jie, HU Shiwang, WANG Zhenyi. Thermo-Mass Coupling Fractal Study of Wet Phase-Change Rough Porous Materials[J]. Applied Mathematics and Mechanics, 2022, 43(5): 561-568. doi: 10.21656/1000-0887.420328
Citation: GAO Weiye, ZHANG Sai, ZHANG Jie, HU Shiwang, WANG Zhenyi. Thermo-Mass Coupling Fractal Study of Wet Phase-Change Rough Porous Materials[J]. Applied Mathematics and Mechanics, 2022, 43(5): 561-568. doi: 10.21656/1000-0887.420328

含湿相变粗糙多孔材质的热质耦合分形研究

doi: 10.21656/1000-0887.420328
基金项目: 昆明理工大学省级项目(人培) (KKSY201601011);云南省科学技术厅青年基金(KKSQ201701008)
详细信息
    作者简介:

    高伟业(1993—),男,硕士生(E-mail:936499584@qq.com

    张赛(1987—),女,博士,硕士生导师(通讯作者. E-mail:sai_zh@163.com

  • 中图分类号: O359+.2

Thermo-Mass Coupling Fractal Study of Wet Phase-Change Rough Porous Materials

  • 摘要:

    多孔材质复杂的内部结构和含湿状态对传热和传质特性有着重要意义,其热质耦合传递过程广泛存在于能源开发和工程隔热等领域。不同于在多孔材质理想状态下对传热和传质特性的单方面分析,该文将孔道的分布参数、粗糙表面、含湿状态和相变等因素考虑进去,运用分形理论推导出了含湿相变粗糙表面多孔材质的渗流系数和耦合等效导热系数的表达式。结果表明,渗流系数与面积分形维数、含湿饱和度呈正相关,与相对粗糙度、迂曲分形维数呈负相关;耦合等效导热系数与渗流系数、相变量呈正相关,与相对粗糙度呈负相关。此外,结果还表明,相变量以及相变引起的气体膨胀压强差对热质耦合传递也有着重要影响。

  • 图  1  Gauss函数三维粗糙表面模型

    Figure  1.  The Gauss function 3D rough surface model

    图  2  等效导热系数λdeff与孔隙率φ的关系

    Figure  2.  The relationship between equivalent thermal conductivity λdeff and porosity φ

    图  3  面积分形维数Df对环状渗流系数kcw的影响

    Figure  3.  The influence of area fractal dimension Df on annular seepage coefficient kcw

    图  4  迂曲分形维数Dt对环状渗流系数kcw的影响

    Figure  4.  The influence of tortuous fractal dimension Dt on annular seepage coefficient kcw

    图  5  饱和度s对环状渗流系数kcw的影响

    Figure  5.  The influence of saturation s on annular seepage coefficient kcw

    图  6  渗流系数对等效导热系数λdeff的影响

    Figure  6.  The effect of the seepage coefficient on equivalent thermal conductivity λdeff

    图  7  饱和度s对等效导热系数λdeff的影响

    Figure  7.  The influence of saturation s on equivalent thermal conductivity λdeff

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出版历程
  • 收稿日期:  2021-10-28
  • 修回日期:  2021-12-06
  • 网络出版日期:  2022-03-31
  • 刊出日期:  2022-05-15

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