Abstract
This paper, with fractional calculus theory and Maple as tools, takes cigarettes as porous media to establish a fractional model describing filtration effect of cigarette filter tip, and explains the relationship between the functions of filter tip and filter materials, and reveals the relationship between the role of filter tip and the filter length. The results show that the improvement of the absorption rate of toxics and increasement of filter length can exponentially improve the filtering effect. Moreover, the speed lowering of the smoke smog spreading can also improve the filtering effect.
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