2012
DOI: 10.1063/1.3697895
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Effect of fiber orientation on shape and stability of air–water interface on submerged superhydrophobic electrospun thin coatings

Abstract: To better understand the role of fiber orientation on the stability of superhydrophobic electrospun coatings under hydrostatic pressures, an integro-differential equation is developed from the balance of forces across the air–water interface between the fibers. This equation is solved numerically for a series of superhydrophobic electrospun coatings comprised of random and orthogonal fiber orientations to obtain the exact 3D shape of the air–water interface as a function of hydrostatic pressure. More important… Show more

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Cited by 47 publications
(29 citation statements)
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References 37 publications
(45 reference statements)
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“…However, more integrated numerical methods are needed to characterize the pore structures and quantify the capillary and gravity forces generated by arbitrary cylinder geometries. This is because both the orientations and the cross-sectional shapes of the cylinders/fibres affect the capillary force [32,33]. Therefore, our theory can be a practical guide for designing micro-cylinder rafts with high load-carrying capacity.…”
Section: Discussionmentioning
confidence: 95%
“…However, more integrated numerical methods are needed to characterize the pore structures and quantify the capillary and gravity forces generated by arbitrary cylinder geometries. This is because both the orientations and the cross-sectional shapes of the cylinders/fibres affect the capillary force [32,33]. Therefore, our theory can be a practical guide for designing micro-cylinder rafts with high load-carrying capacity.…”
Section: Discussionmentioning
confidence: 95%
“…This work is more applicable for electrolyte fuel cells. Other studies were performed to determine the meniscus shape of different surfaces' morphologies at different pressures [99,100]. Meanwhile, Extrand [101] developed a mathematical model to determine the critical pressure of a superhydrophobic surface comprised of microstructure roughness, which is superimposed with a nanostructure one.…”
Section: Air-water Meniscus Stability Under Hydrostatic Pressurementioning
confidence: 99%
“…The only exception to this is the case of thin coatings with the air under the AWI completely trapped, like when a coating is fully submerged (in this case the entrapped air significantly contributes to the coating's resistance against the hydrostatic pressure [38,39]). For thick coatings (i.e., coatings for which the volume of the air displaced by a penetrating AWI is negligible compared to the volume of the air in the coating), even when submerged, the capillary pressure is the dominant force balancing the hydrostatic pressure exerted on the coating [40].…”
Section: Coatings Comprised Of Highly Oriented Fibersmentioning
confidence: 94%
“…[40], the closest attempt in predicting the critical pressure of a fibrous SHP coating with random fiber orientations is the work of ref. [39] in which a 2-D projection of the 3-D geometry of a thin fibrous coating was considered as the solution domain for solving an integropartial differential equation (IPDE) to estimate the coating's critical pressure. Obviously, using the projected image of a 3-D structure is only accurate if the coating is very thin.…”
Section: Coatings Comprised Of Orthogonal Fibersmentioning
confidence: 99%