Liquid-filled porous
materials exist widely in nature and engineering
fields, with the diffusion of substances in them playing an important
role in system functions. Although surface evaporation is often inevitable
in practical scenarios, the evaporation effects on diffusion behavior
in liquid-filled porous materials have not been well explored yet.
In this work, we performed noninvasive diffusion imaging experiments
to observe the diffusion process of erioglaucine disodium salt dye
in a liquid-filled nitrocellulose membrane under a wide range of relative
humidities (RHs). We found that evaporation can significantly accelerate
the diffusion rate and alter concentration distribution compared with
the case without evaporation. We explained the accelerated diffusion
phenomenon by the mechanism that evaporation would induce a weak flow
in liquid-filled porous materials, which leads to convective diffusion,
i.e.
, evaporation-induced flow and diffusion (EIFD). Based
on the EIFD mechanism, we proposed a convective diffusion model to
quantitatively predict the diffusion process in liquid-filled porous
materials under evaporation and experimentally validated the model.
Introducing the dimensionless Peclet (
P
e
) number to measure the relative contribution of the evaporation
effect to pure molecular diffusion, we demonstrated that even at a
high RH of 95%, where the evaporation effect is usually assumed negligible
in common sense, the evaporation-induced diffusion still overwhelms
the molecular diffusion. The flow velocity induced by evaporation
in liquid-filled porous materials was found to be 0.4–5 μm/s,
comparable to flow in many biological and biomedical systems. The
present analysis may help to explain the driving mechanism of tissue
perfusion and provide quantitative analysis or inspire new control
methods of flow and material exchange in numerous cutting-edge technologies,
such as paper-based diagnostics, hydrogel-based flexible electronics,
evaporation-induced electricity generation, and seawater purification.