International audienceThere is no clear statement on the role of particles in the drying of liquid marbles, which are liquid drops coated with hydrophobic solid particles. While some works report a similar drying time for liquid marbles and bare water drops others observe a faster evaporation of either liquid marbles or of bare water drops. To provide insight into the subject, we report water drying experiments in different configurations. We first focus on the drying of flat water surfaces coated with a single or several layers of hydrophobic micronic particles. Quite surprisingly, surfaces coated with a single layer of densely packed particles dry at the same speed as the bare surfaces. However, when coated with several layers of particles, the drying rate per unit surface area is significantly diminished. This effect is quantitatively explained by considering vapor diffusion through the porous media formed by the stacking of micronic particles above the interface. Then, we consider the drying of curved interfaces which are liquid marbles, i.e. drops coated with one monolayer of micronic particles. Those systematically dry faster than pure drops of the same initial volume. As the presence of a single layer of particles does not significantly affect the drying rate, this "speed-up" effect is attributed to the conservation of the surface area of the coated drop during the drying. Our quantitative experiments and understanding of the drying of liquid marbles therefore support the different results found in the literature: liquid marbles coated with one monolayer of fine solid particles do dry faster than water drops, while those coated with several layers - that may be formed by aggregates of nanoparticles - experience slower drying
Since the pioneering works of Taylor and Bretherton, the thickness h of the film deposited behind a long bubble invading a Newtonian fluid is known to increase with the Capillary number power 2/3 (h ∼ RCa 2/3 ), where R is the radius of the circular tube and the Capillary number, Ca, comparing the viscous and capillary effects. This law, known as Bretherton law, is only valid in the limit of Ca < 0, 01 and negligible inertia and gravity. We revisit this classical problem when the fluid is a Yield-Stress Fluid (YSF) exhibiting both a yield stress and a shear-thinning behaviour. First, we provide quantitative measurement of the thickness of the deposited layer for Carbopol HerschelBulkley fluid in the limit where the yield-stress is of similar order of magnitude as the capillary pressure and for 0.1 < Ca < 1. To understand our observation, we use scaling arguments to extend the analytical expression of Bretherton's law to YSF in circular tubes. In the limit of Ca < 0, 1, our scaling law, in which the adjustable parameters are set using previous results concerning non-Newtonian fluid, successfully retrieves several features of the literature. First, it shows that (i) the thickness deposited behind a Bingham YSF (exhibiting a yield stress only) is larger than for a Newtonian fluid and (ii) the deposited layer increases with the amplitude of the yield stress. This is in quantitative agreement with previous numerical results concerning Bingham fluid. It also agrees with results concerning pure shear-thinning fluids in the absence of yield stress : the shear-thinning behaviour of the fluid reduces the deposited thickness as previously observed. Last, in the limit of vanishing velocity, our scaling law predicts that the thickness of deposited YSF converges towards a finite value, which presumably depends on the microstructure of the YSF, in agreement with previous research on the topic performed in different geometries. For 0.1 < Ca < 1,the scaling law fails to describe the data. In this limit, non-linear effects must be taken into account.
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