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The air flow resistance of glass fibre filter paper
Author(s) -
Wheat J. A.
Publication year - 1963
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450410207
Subject(s) - drag , flow resistance , airflow , perpendicular , flow (mathematics) , atmospheric pressure , materials science , filter paper , mathematics , analytical chemistry (journal) , composite material , physics , mineralogy , optics , chemistry , thermodynamics , geometry , meteorology , chromatography
The air flow resistance of filter papers containing fine glass fibres was measured in the region of streamline flow. Average fibre diameters ranged from 0.18 to 14.4 microns and paper porosities from 0.75 to about 0.94. At atmospheric pressure, the data were correlated by the equation \documentclass{article}\pagestyle{empty}\begin{document}$ \Delta P = k\frac{{L\mu V}}{{g_c D_f^2 }}\frac{{\left({1 - \varepsilon } \right)}}{\varepsilon } $\end{document} which was derived from an expression for the drag force on an individual fibre perpendicular to the direction of flow. The resistance coefficient k varied with fibre diameter according to the empirical relationship\documentclass{article}\pagestyle{empty}\begin{document}$$ 1/k = a + b\left({C - 1} \right) $$\end{document}and was about 30 for the largest fibre diameter and 1.6 for the smallest. Two alternative methods are proposed for adapting the equation to pressures below atmospheric.