期刊
THERMAL SCIENCE
卷 24, 期 4, 页码 2653-2659出版社
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI2004653Y
关键词
fractal calculus; local fractional calculus; two scale dimension; two scale transform; cellulose acetate; trilobal-shaped fiber; Y cross-sectional shape; X cross-sectional shape; Darcy's law; hierarchical structure
资金
- PAPD (Priority Academic Program Development of Jiangsu Higher Education Institutions)
- China National Tobacco Company (CNTC) China Tobacco Office [259 (2016)]
A fractal model for pressure drop through a cigarette filter is suggested, the fractal dimensions of both a single fiber and the filter's cross-sections are calculated, which are two main factors affecting the pressure drop. The two-scale transform is made to convert the fractal derivative model on a smaller scale to an approximate continuous model on a larger scale, so that the model can be easily solved. An optimal filter structure is suggested for minimal pressure drop.
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