title: Tortuosity of unsaturated porous fractal materials.
abstract: The tortuosity of a capillary-condensed film of inviscid fluid adsorbed onto fractal substrates as a function of the filling fraction of the fluid has been calculated numerically. This acts as a way of probing the multiscale structure of the objects. It is found that the variation of tortuosity alpha with filling fraction varphi is found to follow a power law of the form alpha approximately varphi- for both deterministic and stochastic fractals. These numerically calculated exponents are compared to exponents obtained from a phenomenological scaling and good agreement is found, particularly for the stochastic fractals.
authors.affiliation: Department of Aeronautics and Institute for Mathematical Sciences, Imperial College, London, SW7 2BY, United Kingdom. stuart.coleman@imperial.ac.uk
authors.forename: S W
authors.initials: SW
authors.lastname: Coleman
authors.forename: J C
authors.initials: JC
authors.lastname: Vassilicos