THERMAL SCIENCE

International Scientific Journal

Zhanping Yang

,

Li Zhang

,

Dou Feng

,

Jie Li

,

Wenxuan Wang

,

Tao Yu

,

Ling-Yi Xu

,

Xin Yao

,

Jianhua Cao

,

Xiaomin Feng

A FRACTAL MODEL FOR PRESSURE DROP THROUGH A CIGARETTE FILTER

ABSTRACT
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.
KEYWORDS
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
PAPER SUBMITTED: 2019-05-01
PAPER REVISED: 2019-10-28
PAPER ACCEPTED: 2019-10-28
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004653Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE No. 4, PAGES [2653 - 2659]
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A fractal model for pressure drop through a cigarette filter

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