当前位置: X-MOL 学术Fractals › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
AN INVESTIGATION ON SPONTANEOUS IMBIBITION IN TREE-LIKE BRANCHING NETWORK WITH FRACTAL ROUGHENED SURFACES
Fractals ( IF 3.3 ) Pub Date : 2021-10-09 , DOI: 10.1142/s0218348x21502285
BOQI XIAO 1 , ZHENJIE LIU 1 , YIDAN ZHANG 1 , MINGCHAO LIANG 2 , GONGBO LONG 1 , ZHENG ZHAO 3
Affiliation  

The tree-like branching network widely exists in nature and human society. The heat and mass transfer of tree-like branching network has been studied for a long time. The research indicates that a tree-like branching network has excellent heat and mass transfer performance. In this paper, a model of spontaneous imbibition in the tree-like branching network with fractal roughened surfaces is proposed. Based on the series-parallel equivalent model, the analytical expression of the time-varying imbibition height and the expression of the equilibrium height are derived. It is found that the structural parameters of the branching network have an important influence on the imbibition process, including the diameter in the 0th branching level, the length ratio, the diameter ratio, the branching number, the total number of branching levels, the relative roughness and the branching angle. For instance, the equilibrium height increases with the increase in the total number of branching levels, but the time required to reach the equilibrium height also increases with the increase in the total number of branching levels. It is also seen that the equilibrium height increases with the increase in fractal dimension of roughened elements and length ratio, and decreases with the increase in diameter ratio. In addition, an interesting phenomenon is that the time required to reach the equilibrium height increases with the increase in branching angle, but the equilibrium height remains the same. Every parameter of the presented model has a clear physical meaning, revealing the imbibition mechanism of the tree-like branching network.

中文翻译:

具有分形粗糙表面的树状分支网络的自发吸收研究

树状分支网络广泛存在于自然界和人类社会中。树状分支网络的传热传质研究由来已久。研究表明,树状分支网络具有优异的传热传质性能。在本文中,提出了具有分形粗糙表面的树状分支网络中的自吸模型。在串并联等效模型的基础上,推导出了时变自吸高度的解析表达式和平衡高度的表达式。发现分支网络的结构参数对吸吸过程有重要影响,包括第0级分支直径、长度比、直径比、分支数、总分支级数、相对粗糙度和分支角。例如,平衡高度随着分支层数的增加而增加,但达到平衡高度所需的时间也随着分支层数的增加而增加。还可以看出,平衡高度随着粗糙元分形维数和长度比的增加而增加,随着直径比的增加而减小。此外,一个有趣的现象是达到平衡高度所需的时间随着分支角的增加而增加,但平衡高度保持不变。所提出模型的每个参数都有明确的物理意义,揭示了树状分支网络的吸收机制。平衡高度随着分支层数的增加而增加,但达到平衡高度所需的时间也随着分支层数的增加而增加。还可以看出,平衡高度随着粗糙元分形维数和长度比的增加而增加,随着直径比的增加而减小。此外,一个有趣的现象是达到平衡高度所需的时间随着分支角的增加而增加,但平衡高度保持不变。所提出模型的每个参数都有明确的物理意义,揭示了树状分支网络的吸收机制。平衡高度随着分支层数的增加而增加,但达到平衡高度所需的时间也随着分支层数的增加而增加。还可以看出,平衡高度随着粗糙元分形维数和长度比的增加而增加,随着直径比的增加而减小。此外,一个有趣的现象是达到平衡高度所需的时间随着分支角的增加而增加,但平衡高度保持不变。所提出模型的每个参数都有明确的物理意义,揭示了树状分支网络的吸收机制。但达到平衡高度所需的时间也随着分支水平总数的增加而增加。还可以看出,平衡高度随着粗糙元分形维数和长度比的增加而增加,随着直径比的增加而减小。此外,一个有趣的现象是达到平衡高度所需的时间随着分支角的增加而增加,但平衡高度保持不变。所提出模型的每个参数都有明确的物理意义,揭示了树状分支网络的吸收机制。但达到平衡高度所需的时间也随着分支水平总数的增加而增加。还可以看出,平衡高度随着粗糙元分形维数和长度比的增加而增加,随着直径比的增加而减小。此外,一个有趣的现象是达到平衡高度所需的时间随着分支角的增加而增加,但平衡高度保持不变。所提出模型的每个参数都有明确的物理意义,揭示了树状分支网络的吸收机制。并且随着直径比的增加而减小。此外,一个有趣的现象是达到平衡高度所需的时间随着分支角的增加而增加,但平衡高度保持不变。所提出模型的每个参数都有明确的物理意义,揭示了树状分支网络的吸收机制。并且随着直径比的增加而减小。此外,一个有趣的现象是达到平衡高度所需的时间随着分支角的增加而增加,但平衡高度保持不变。所提出模型的每个参数都有明确的物理意义,揭示了树状分支网络的吸收机制。
更新日期:2021-10-09
down
wechat
bug