Axisymmetric spreading of surfactant from a point source

Mandre, Shreyas

doi:10.1017/jfm.2017.708

Cited by 17 publications

(25 citation statements)

References 14 publications

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“…Similarly, a leading order approximation to the boundary layer flow profile driven by the surfactant whose dynamics are dominated by the dissolved phase [20] is Our result is quite robust, as we demonstrated for two surfactants varying in their CMC values by factor 100, and can be used with other surfactants. We used these signatures to determine that CA released from a gel tablet spreads in an adsorbed phase, a result that bears upon Marangoni-driven self-assembly [27][28][29][30][31][32] and propulsion [33][34][35][36].…”

Section: Signaturesupporting

confidence: 67%

“…in terms of a similarity coordinate ξ = z/δ a (r) and a self-similar profile f (ξ). Here f satisfies [20] f (ξ)…”

Section: Signaturementioning

confidence: 99%

“…However, the agreement inFigure 4of the measured velocity profile with the leading order of (5) is not conclusive proof of the flow being driven by a dissolved surfactant. It is so because, as explained in Ref [20],. Squire's radial jet[26] forced by a momentum source at the origin also exhibits r −1 decay and the velocity profile (5) to leading order.…”

mentioning

confidence: 92%

“…These approximations, along with the assumption of adsorption-or dissolution-dominated surfactant dynamics, render the governing physical description scale invariant. Consequently, the fluid radial u(r, z) velocity components in cylindrical coordinates (r, z), exhibit a self-similar structure [20]. Three experimentally measured invariant characteristics of this self-similar flow serve as hydrodynamic signatures of the simplified surfactant transport.…”

mentioning

confidence: 96%

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Hydrodynamic Signatures of Stationary Marangoni-Driven Surfactant Transport

et al. 2017

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We experimentally study steady Marangoni-driven surfactant transport on the interface of a deep water layer. Using hydrodynamic measurements, and without using any knowledge of the surfactant physicochemical properties, we show that sodium dodecyl sulphate and Tergitol 15-S-9 introduced in low concentrations result in a flow driven by adsorbed surfactant. At higher surfactant concentration, the flow is dominated by the dissolved surfactant. Using camphoric acid, whose properties are a priori unknown, we demonstrate this method's efficacy by showing its spreading is adsorption dominated.

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Section: Signaturesupporting

confidence: 67%

“…in terms of a similarity coordinate ξ = z/δ a (r) and a self-similar profile f (ξ). Here f satisfies [20] f (ξ)…”

Section: Signaturementioning

confidence: 99%

mentioning

confidence: 92%

mentioning

confidence: 96%

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Hydrodynamic Signatures of Stationary Marangoni-Driven Surfactant Transport

et al. 2017

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“…Recently, several experiments have been performed to clarify the generic aspect of this system. [24][25][26][27] Specifically, it was found that for the large Péclet number and the finite Reynolds number, the velocity field maintains self-similar profiles. We consider in this this study a different situation where the velocity generated by the Marangoni flow is sufficiently slow, i.e., the Reynolds number is small (see Sec.VI).…”

Section: Introductionmentioning

confidence: 99%

Effective diffusion coefficient including the Marangoni effect

Kitahata

Yoshinaga

2018

The Journal of Chemical Physics

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Surface-active molecules supplied from a particle fixed at the water surface create a spatial gradient of the molecule concentration, resulting in Marangoni convection. Convective flow transports the molecules far from the particle, enhancing diffusion. We analytically derive the effective diffusion coefficient associated with the Marangoni convection rolls. The resulting estimated effective diffusion coefficient is consistent with our numerical results and the apparent diffusion coefficient measured in experiments.

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Rapid Self‐Assembly Process at Air/Water Confined Interface for Highly Aligned Crystalline Polymeric Semiconductor Films

Yang

et al. 2023

Adv Elect Materials

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Recently, the carrier mobility of organic semiconductors has been significantly improved, surpassing that of amorphous silicon. [2] According to the chemical structures, organic semiconductors can be divided into small-molecule and polymeric semiconductors. Among them, polymeric semiconductors have attracted considerable attention owing to their stretchability and adequate solution processability. [3] The mobility values range from ≈10 −5 to 10 cm 2 V −1 s −1 with the development of new materials and the application of novel technologies. Consequently, these semiconductors have broad application prospects in flexible electronic devices. Organic field-effect transistors (OFETs) are core components in organic electronics, which form the basis for organic circuit systems to perform various functions. Polymeric semiconductors are commonly used as conducting channel materials in thin films OFETs to fabricate high-performance and stretchable transistor devices. The electrical properties of polymeric semiconductors are significantly affected by their molecular and crystalline multi-level structures. Theoretically, the chargecarrier can transport rapidly along the main straight chain of the polymer, and the mobility can exceed 10 2 cm 2 V −1 s −1 . [4] However, in actual OFETs, the charge-carrier mobility of the Highly aligned aggregation state structures have great significance for effective charge-carrier transport in organic semiconductors. Several methods have been developed to provide organic semiconducting molecules with highly oriented aggregation state structure; among these, using a water surface to form organic semiconductor films is a widely implemented strategy, wherein solutions are spread on the surface of water. However, common techniques of film formation on water surfaces generally result in a nonuniform orientation of the film owing to the isotropic spread process of droplets on the water surface. In this study, a spatially confined air/water interfacial assembly method is proposed to obtain uniformly aligned monolayer and multilayer poly(diketopyrrolopyrrole-thieno[3,2-b]thiophene) thin films with controlled thickness. The structural and morphological characterizations obtained using atomic force microscopy, high-resolution transmission electron microscopy, and grazing incidence wide-angle X-ray scattering indicates the crystalline structure of the thin films and high alignment of the molecular chains. The maximum mobility of the thin films reaches up to 2.06 and 0.5 cm 2 V −1 s −1 in the parallel and perpendicular direction, respectively, indicating apparent anisotropic electrical properties. Furthermore, an inverter based on these thin films exhibits a voltage gain of up to 70, demonstrating the potential of applying the proposed technique to logic circuits.

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Axisymmetric spreading of surfactant from a point source

Cited by 17 publications

References 14 publications

Hydrodynamic Signatures of Stationary Marangoni-Driven Surfactant Transport

Hydrodynamic Signatures of Stationary Marangoni-Driven Surfactant Transport

Effective diffusion coefficient including the Marangoni effect

Rapid Self‐Assembly Process at Air/Water Confined Interface for Highly Aligned Crystalline Polymeric Semiconductor Films

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