Abstract
A theoretical derivation is given of the tortuosity factor for a flow through fibrous filters, based on purely geometrical considerations. The resulting expression for the tortuosity appears to be a function of filter and fibre properties. For laminar air flow the tortuosity factor is calculated as a function of porosity and of filter composition. Although the resulting curves are in quantitative agreement with the experimental work of Sullivan, frequently referred to, there is much evidence that Sullivan did not measure tortuosity alone. Finally the tortuosity factor is calculated for electrical flow through fibrous filters saturated with a conducting liquid. Theoretical and experimental results are in excellent agreement. Therefore it may be concluded that it is not justified to take the constant value √2, derived from electrical measurements, for the tortuosity factor of laminar air flow through fibrous filters.
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