In order to convert the pressure drop by calculation in cigarette filters of equal length and varying diameter made out of identical acetate tow two premises have to be considered:
1. The filters have the same density;
2. The filters contain the same weight of filament. In filters with the same density a theoretical exponent ε = 2.0 is deduced. As a practical result of the figures collected, ε = 2.06 is to be regarded as the most probable value. This value rises slightly when the densities of the filters compared are not absolutely identical.
For filters with the same material (filament)-weight, the application of the Hagen-Poiseuille law can be queried, and an exponent ε > 4 deduced by means of a model idea. Practical calculation demonstrates that ε varies between 7-8 and 4-5, depending on the differences in diameter, whereby a greater difference results in a smaller ε.