## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2019-05-01

PAPER REVISED: 2019-10-28

PAPER ACCEPTED: 2019-10-28

PUBLISHED ONLINE: 2020-06-21

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**4**, PAGES [2653 - 2659]

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