Optimal fractal tree-like microchannel networks with slip for laminar-flow-modified Murray’s law

• Dalei Jing,
• Shiyu Song,
• Yunlu Pan and
• Xiaoming Wang

Beilstein J. Nanotechnol. 2018, 9, 482–489, doi:10.3762/bjnano.9.46

• diameter. These complicated relations were found to become relaxed and simplified to Murray’s law when the ratio between the slip length and the diameter of the channel is small enough. Keywords: fractal tree-like microchannel networks; hydraulic resistance; Murray’s law; slip; Introduction For the

• flow to achieve minimum hydraulic resistance is analyzed. The effects of slip length, the structural and dimensional parameters (including the branching number, the level number, the length and the diameter of channel) on the optimal fractal tree-like microchannel networks with slip condition are also

• studied. Modeling Generation of fractal tree-like microchannel networks For different applications of a fractal tree-like branched network, a typical structure similar to that shown in Figure 2 has been widely used [6][7][8][9][10][11][12][13][14][15][16][17][18]. In the present work, a similar structure