Open AccessA fractal model for pressure drop through a cigarette filter
Author(s) -
Zhanping Yang,
Zhang Li,
Feng Ding,
Jie Li,
Wenxuan Wan,
Tao Yu,
Lingyi Xu,
Xin Yao,
Jianhua Cao,
Xin Feng
Publication year - 2020
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2004653y
Subject(s) - fractal , pressure drop , filter (signal processing) , drop (telecommunication) , mechanics , fractal dimension , materials science , mathematics , physics , mathematical analysis , computer science , telecommunications , computer vision
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.