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.

Fabrication of PVDF/PES nanofibers with unsmooth fractal surfaces by electrospinning: A general strategy and formation mechanism

“…Eu  (18) The final fiber radius is determined by the critical radius given in Eq. (17), that means cr rE  (19) Using the data given in Table 2, we can find While the observed results are, respectively, 431/508=0.848 and 431/587=0.734, this simple theoretical analysis gives a high accuracy of predictions, 3.8% and 2.1%, respectively.…”

“…Though there are many reports for producing unsmooth fibers [19,20], its mechanism is not clear yet, furthermore the mechanism for attracting properties due to unsmooth surface with hierarchical structure is still an open problem. This paper gives a general strategy and formation mechanism for fabrication of hierarchical fibers.…”

Selection of air filters for residential fresh air in China based on the control of PM2.5

“…It was more economical to employ the two-stage combined filters under the conditions of indoor sanitary. Nanofiber filters or shaped fiber filters are promising [20][21][22][23].…”

Effect of fiber materials on the thermal and moisture comfort properties of socks

“…The wicking height is intuitively reflected by the quality of the fabric's moisture absorption and conductivity. It can be seen from Table 3 that it is the highest wicking height of sample 1# since fibrilia has natural moisture absorption and conductivity, and the ultra-fine micro pores inside the ramie fibers are conducive to the formation of capillary effects to accelerate the diffusion of moisture [7][8][9][10][11][12][13] . While the wicking height of compact sample 6# without voids of the fabric and capillary effect is the lowest.…”