Rayleigh instability of charged drops and vesicles in the presence of counterions

Thaokar, Rochish; Deshmukh, Shivraj D.

doi:10.1063/1.3361158

Cited by 19 publications

(12 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To initiate the evolution process the drop is deformed into the shape of a prolate spheroid given by r(θ) = 1 + δP 2 (cos θ), where P 2 (cos θ ) is the second Legendre polynomial. For the Rayleigh breakup process it has been shown that the P 2 mode is the most unstable mode (Rayleigh 1882;Thaokar & Deshmukh 2010). The practical relevance of the initial perturbation in Rayleigh breakup of a charged droplet is discussed in detail in our recent paper (Singh et al 2019a).…”

Section: Problem Formulationmentioning

confidence: 90%

“…This instability occurs when the repulsive Coulombic force overcomes the restoring surface tension force. An infinitesimal quadrupolar shape perturbation (the second Legendre mode) on a spherical drop charged beyond Q c is known to be the most unstable mode (Tsamopoulos, Akylas & Brown 1985;Basaran & Scriven 1989;Thaokar & Deshmukh 2010). Although the Rayleigh limit predicts the point of onset of instability, it leaves the details of the break up pathway completely unspecified.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Jet and progeny formation in the Rayleigh breakup of a charged viscous drop

2019

View full text Add to dashboard Cite

Section: Problem Formulationmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Jet and progeny formation in the Rayleigh breakup of a charged viscous drop

2019

View full text Add to dashboard Cite

“…Ionization-induced vaporization can be a significant source of vapor generation and may accelerate evaporation of charged drops in electrohydrodynamic situations such as electrification of aerosols, combustion of fuel droplets, spray painting, and inkjet printing [26,27].…”

Section: Introductionmentioning

confidence: 99%

“…This linkage may explain why bubbles within biological samples are generated and/or expanded by high-brilliance X-ray photons, which has been a critical problem in X-ray biological imaging [25]. Ionization-induced vaporization can be a significant source of vapor generation and may accelerate evaporation of charged drops in electrohydrodynamic situations such as electrification of aerosols, combustion of fuel droplets, spray painting, and inkjet printing [26,27].…”

mentioning

confidence: 99%

X-ray-induced water vaporization

Weon

Lee

et al. 2011

Phys. Rev. E

View full text Add to dashboard Cite

We present quantitative evidence for X-ray-induced water vaporization: water is vaporized at a rate of 5.5 pL/s with the 1-Å-wavelength X-ray irradiation of ~0.1 photons per Å 2 ; moreover, water vapor is reversibly condensed during pauses in irradiation. This result fundamentally suggests that photoionization induces vaporization. This phenomenon is attributed to surface tension reduction by ionization and would be universally important in radiological and electrohydrodynamic situations.PACS numbers: 68.03. Fg, 68.03.Cd, 78.70.-g * E-mail: bmweon@hotmail.com, † jhje@postech.ac.krBrief Report -Physical Review E -2 -X-ray photonics is undergoing a revolution in imaging capabilities with the use of ultrabright X-ray sources. X-ray imaging at the nano-and microscale is of great interest for applications in physical and life sciences, including X-ray physics, materials science, biological imaging, environmental analysis, archaeology, paleontology, and heritage restoration [1], because it facilitates the nondestructive, direct visualization of internal structures or elements.Meanwhile, radiation damage from the energy deposited into the sample by the X-ray photons used for imaging is inevitable [2,3]. In particular, radiation-induced ionization ultimately disintegrates the sample by charge accumulation beyond a limit and is otherwise known as Coulomb explosion [2,3] and fission [4,5]. The conventional damage barrier for Coulomb explosion is known to be about 200 photons per Å 2 for X-rays with a wavelength of 1 Å [2,3].Radiation damage can be mitigated by cryofixation or by ultrabright, ultrashort X-ray pulses [2].However, radiation damage to living tissues by radiation ionization is not yet fully understood[6], although it is a limiting factor in achieving high-resolution data [2].In previous works, we demonstrated that high-brilliance X-ray photons affect the surface tension of water by inducing ionization, using hard X-ray imaging at the 7B2 beamline (dose rate ~1 kGy s -1 ) of the Pohang Light Source [7][8][9]. A charge density over ~10 -4 charges per Å 2 was required for a significant reduction (> 30%) in the surface tension [9]. This condition corresponds to X-ray irradiation of ~0.1 photons per Å 2 , following a simulation using the ionization rate of ~1 charge per Å 2 by 2000 photons per Å 2 with X-rays of 1 Å wavelength [2].We put forward a possibility of water vaporization by surface tension reduction [7,8] based on a monotonic relationship of the surface tension to the vaporization enthalpy [10,11], but quantitative evidence was lacking.To corroborate the possibility, we conducted an elaborate experiment in a different synchrotron source while applying high-speed X-ray imaging [12,13]. Using a hydrophilic capillary tube containing a small amount of water, we first made a confined water lens with concave menisci, where the left region was closed and the right one was open in air [ Fig. 1]. The changes of the water menisci were simultaneously imaged using a high-speed camera, synchronized and gated t...

show abstract

“…In recent years, electrokinetic flows of multiphase systems, containing liquid-liquid or liquid-air interfaces subjected to uniform and non-uniform electric fields, have gained huge importance (Brask, Kutter & Bruus 2005;Thaokar & Kumaran 2005;Verma et al 2005;Ozen et al 2006;Tseluiko & Papageorgiou 2006;Voicu, Harkema & Steiner 2006;Bandyopadhyay & Sharma 2007;Tomar et al 2007;Uguz & Aubry 2008;Li, Yin & Yin 2009a;Gambhire & Thaokar 2010;Thaokar & Deshmukh 2010;Choi et al 2011;Esmaeeli & Reddy 2011;Zhang, Zahn & Lin 2011;Veremieiev et al 2012;Gambhire & Thaokar 2014) due to their wide range of applications. One of the primary focuses is electro-osmotic pumping of superimposed fluids, first demonstrated experimentally by Brask et al (2005).…”

Section: Introductionmentioning

confidence: 99%

Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

et al. 2015

View full text Add to dashboard Cite

In the present study, we attempt to analyse the electro-osmotic flow of two superimposed fluids through narrow confinements in the presence of axially modulated surface charges. We attempt to solve for the flow structure as well as the interface deformation by both analytical and numerical techniques. Approximate analytical solutions are obtained through asymptotic analysis for low deformations, whereas numerical solutions are obtained by applying the phase field formalism; the numerical solutions are obtained for small as well as large interfacial deformations. The analytical solutions are derived only for the transient deformation of the interface, neglecting the transience in the flow, i.e. the flow is assumed to be quasisteady. The numerical solutions, however, are derived including the effects of inertia and transients in the flow. We attempt to compare our analytical and numerical results and explore the effects of several physico-chemical parameters on the deformation of the interface as well as the nature of the flow. Our analysis reveals that parameters such as the modulation wavelength, surface tension (described through the capillary number), viscosity ratio, permittivity ratio and extent of asymmetry in the potential on the two walls are the major contributors to the deformation and the resulting flow features.

show abstract

Rayleigh instability of charged drops and vesicles in the presence of counterions

Cited by 19 publications

References 49 publications

Jet and progeny formation in the Rayleigh breakup of a charged viscous drop

Jet and progeny formation in the Rayleigh breakup of a charged viscous drop

X-ray-induced water vaporization

Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

Contact Info

Product

Resources

About