arXiv subjects

Y. S. Mayya

Publications and source records attributed to Y. S. Mayya.

10 recordsLinked to original sources

arXiv2026

Interfacial waves from pressure forcing: revisiting classical theories from an IVP perspective

A localised overpressure translating at a uniform speed greater than a critical value acts at the interface between two deep fluid layers with different densities. We analyse the resulting wave patterns using an initial-value problem formulation within the linearised, inviscid, potential flow framework. The steady-state interface exhibits short capillary waves ahead of the forcing and long gravity waves behind it, arising from an asymmetric cancellation of Fourier components in the far field. The time-dependent part of the solution, decaying algebraically with time, plays a crucial role in this mechanism. This contrasts with classical steady approaches, which require additional conditions to select a unique solution. We extend this approach to a two-fluid interface and validate the predictions against nonlinear simulations.

physics.flu-dyn↗

arXiv2025

Space charge and ion transport in aerosol neutralization: Toward a concentration-dependent alternative to the $N_it$ product

In this study, we quantify how charged particle concentration affects the neutralization rate of aerosol particles, focusing on the role of ion dynamics shaped by internal electric fields arising from net space charge. Conventional neutralizer performance is typically evaluated using the $N_it$ product, which assumes quasi-neutral conditions and neglects electric fields from small charge imbalances. We demonstrate that internal electric fields become increasingly important at high aerosol concentrations and significantly influence neutralization dynamics. We develop a coupled ion--aerosol transport model in a two-dimensional axisymmetric geometry that includes ion generation, convection, diffusion, recombination, attachment to aerosols, and wall loss, with self-consistent electric fields obtained from the Poisson equation. Results show that even small net charges generate electric fields that enhance ion drift and accelerate neutralization, effects not captured by traditional $N_it$-based approaches. Using a neutralization time metric, we find that neutralization becomes slower with increasing aerosol number concentration $N_p$, higher initial particle charge $q_0$, and smaller particle diameter $d_p$ when space charge is absent. When space charge is included, the influence of $q_0$ and $d_p$ diminishes, while $N_p$ becomes the dominant factor governing neutralization behavior. Accordingly, we propose a concentration-dependent analytical expression for mean charge relaxation that captures coupled ion--aerosol transport and space charge effects. The modeling framework presented here is applicable to laboratory instruments, industrial processes, and atmospheric environments where electrostatic interactions govern aerosol behavior.

physics.chem-ph↗

arXiv2024

Mitigation of fine hydrophobic liquid aerosols by polydispersed uncharged and charged water droplets

One of the harmful contaminants in the atmosphere, which negatively affects the well-being of both humans and animals, is the suspended respirable particles. The most difficult aspect of the study is now removing these fine respirable particles from the atmosphere. This study investigates the scavenging phenomenon of fine hydrophobic liquid aerosols (10 nm to 1050 nm) by uncharged and charged droplets in a self-made scaled test rig. In this study, a hollow cone nozzle with a 1 mm orifice diameter uses tap water to disperse liquid into fine droplets. The paraffin oil and Di-Ethyl-Hexyl-Sebacat (DEHS) solution are aerosolized to be scavenged by water droplets. This research employs a high-speed imaging technique and theoretical modeling approach to measure the size distribution and charge acquired by water droplets respectively. The findings of this study show that uncharged droplets dispersed

physics.flu-dyn↗

arXiv2024

Charged drop impinging on particles dispersed over a metallic plate: A method of particle cleaning

An electric field applied to a droplet impinging on a hydrophobic surface has an extensive variety of applications, including ant-icing, heat transfer enhancement, self-cleaning, droplet manipulation, and electrostatic spraying. The present study demonstrates an effective method of particle removal using a charged droplet. This method employs a pin-plate electrode setup to investigate the dynamics of a charged droplet impact on the surface covered with particles. The particles of different properties such as wettability, electrical conductivity, etc. have been used. Silane-coated glass beads, carbon black, and glass beads are dispersed over the ground copper electrode. The applied potential is also varied from 2 kV to 4 kV. A high-speed imaging is employed to visualize the drop motion, dynamic behavior, and self-cleaning phenomenon. The experimental results indicate that drop generation and impact occur at applied potentials of 2.5, 3, and 3.5 kV, in contrast, at 2 kV, there is no droplet pinch-off. At 4 kV, electric breakdown and bridging of the droplet between the capillary and ground electrode are observed. The drop impact on the silane-coated glass bead leads to their attachment due to the adhesiveness of the particles and the droplet. The silane-coated particles are removed from the droplet surface due to the deformation of the drop and the electric repulsive force. In the case of carbon black and glass beads, the particles are captured by the droplet due to the electrostatic force of attraction. Higher electric potentials lead to an increased spreading diameter of the droplet. The higher electric field enhances the contact area between the droplet and the particles, thereby removing more particles.

physics.flu-dyn↗

arXiv2021

Translation-deformation coupling effects on the Rayleigh instability of an electrodynamically levitated charged droplet

The breakup pathway of the Rayleigh fission process observed experimentally using high-speed imaging of a charged drop levitated in an AC quadrupole trap is shown to undergo asymmetric breakup by ejecting a jet in the upward direction ((i.e., opposite to the direction of gravity)). To explain this typical experimental observation, we carry out numerical calculations based on the boundary element method considering inertial droplets levitated electrodynamically using quadrupole electric fields. The simulations show that the gravity-induced downward shift in the equilibrium position of the drop in the trap causes significant, large-amplitude shape oscillations superimposed over the center-of-mass oscillations of the drop. An important observation here is that the shape oscillations due to the applied quadrupole fields, result in sufficient deformations that act as triggers for the onset of the instability below the Rayleigh limit, thereby admitting a sub-critical instability. The center-of-mass oscillations of the droplet within the trap, which follow the applied frequency, are out of phase with the applied AC signal. Thus the combined effect of shape deformations and dynamic position of the drop leads to an asymmetric breakup such that the Rayleigh fission occurs upwards via the ejection of a jet at the north-pole of the deformed drop.

physics.flu-dyn↗

arXiv2020

Sub-critical asymmetric Rayleigh breakup of a charged drop induced by finite amplitude perturbations in a quadrupole trap

The breakup pathway of Rayleigh fission of a charged drop is unequivocally demonstrated by first of its kind, continuous, high-speed imaging of a drop levitated in an AC quadrupole trap. The experimental observations consistently exhibited asymmetric, sub-critical Rayleigh breakup with an upward (i.e. opposite to the direction of gravity) ejection of a jet from the levitated drop. These experiments supported by numerical calculations show that the gravity induced downward shift of the equilibrium position of the drop in the trap cause significant, large amplitude shape oscillations superimposed over the center-of-mass oscillations. The shape oscillations result in sufficient deformations to act as triggers for the onset of instability well below the Rayleigh limit (a subcritical instability). At the same time, the center-of-mass oscillations which are out of phase with the applied voltage, lead to an asymmetric breakup such that the Rayleigh fission occurs upwards via the ejection of a jet at the pole of the deformed drop. As an important application, it follows from corollarial reasoning that the nanodrop generation in electrospray devices will occur, more as a rule rather than as an exception, via asymmetric, subcritical Rayleigh fission events of micro drops due to inherent directionality provided by the external electric fields.

physics.flu-dyn↗

arXiv2020

Influence of the trap potential waveform on surface oscillation and breakup of a levitated charged drop

A charged droplet can be electrodynamically levitated in the air using a quadrupole trap by typically applying a sinusoidal electric field. When a charged drop is levitated it exhibits surface oscillations simultaneously building charge density due to continuous evaporation and subsequently undergoes breakup due to Rayleigh instability. In this work, we examined large-amplitude surface oscillations of a sub-Rayleigh charged drop and its subsequent breakup, levitated by various applied signals such as sine, square and ramp waveform at various imposed frequencies, using high-speed imaging (recorded at 100-130 thousand Frames Per Second (fps)). It is observed that the drop surface oscillates in sphere-prolate-sphere-oblate (SPSO) mode and seldom in the sphere-prolate-sphere (SPS) mode depending on the intricate interplay of various forces due to charge(q), the intensity of applied field ($Λ$) and shift of the droplet from the geometric center of the trap ($z_{shift}$). The Fast Fourier Transformation (FFT) analysis shows that the droplet oscillates with the forced frequency irrespective of the type of the applied waveform. While in the sinusoidal case, the nonlinearities are significant, in the square and ramp potentials, there is an admittance of all the harmonic frequencies of the applied potential. Interestingly, the breakup characteristics of a critically charged droplet is found to be unaffected by the type of the applied waveform. The experimental observations are validated with an analytical theory as well as with the Boundary Integral (BI) simulations in the potential flow limit and the results are found to be in a reasonable agreement.

physics.flu-dyn↗

arXiv2019

Stability of electrodynamically levitated one or many charged droplets in the presence of noise

The theory of the effect of external fluctuation force on the stability and spatial distribution of mutually interacting and slowly evaporating charged drops, levitated in an electrodynamic balance, is presented using classical pseudo-potential approach. The theory is supplemented with numerical simulations where the non-homogeneous modified Mathieu equation is solved for single droplet as well as many droplets. The transition from the well ordered Coulombic crystal to randomly distributed liquid like structure is observed above a threshold value of the order parameter. The theory and simulations are found to be in fair agreement with each other. The simulation is aimed at studying the stability of structures for capturing the pollutant particle form the air streams using contactless membrane.

physics.flu-dyn↗

arXiv2019

Effect of trap potential on the Rayleigh breakup of a levitated charged droplet

Rayleigh instability that results in the breakup of a charged droplet, levitated in a quadrupole trap, has been investigated in the literature, but only scarcely. We report here asymmetric breakup of a charged drop, levitated in a loose trap, wherein, the droplet is stabilized at an off-center location in the trap. This aspect of levitation leads to an asymmetric breakup of the charged drop, predominantly in a direction opposite to that of gravity. In a first of its kind of study, we capture the successive events of the droplet deformation, breakup and relaxation of the drop after jet ejection using high speed imaging at a couple of hundred thousand frames per second. A pertinent question of the effect of the electrodynamic trap parameters such as applied voltage as well as physical parameters such as the size of the drop, gravity and conductivity on the characteristics of droplet breakup is also explored. A clear effect of the trap strength on the deformation (both symmetric and asymmetric) is observed. Moreover, the cone angle at the pole undergoing asymmetric breakup is almost independent of the applied field investigated in the experiments. All the experimental observations are compared with numerical simulations carried out using the boundary element method (BEM) in the Stokes flow limit. The BEM simulations are also extended to other experimentally achievable parameters. It is observed that the breakup is mostly field influenced, and not field induced. A plausible theory for the observations is reported, and a sensitive role of the sign of the charge on the droplet and the sign of the end cap potential, as well as the off-center location of the droplet in the trap.

physics.flu-dyn↗

arXiv2019

Rayleigh breakup of a charged viscous drop via tip-streaming

The experimental observation of D. Duft, T. Achtzehn, R. Muller, B. A. Huber, and T. Leisner, Nature 421, 128 (2003) on the sequential progression of the instability of a charged liquid drop points at the formation of a jet followed by the emission of progeny droplets as a crucial pathway of the Rayleigh fission process. In spite of considerable theoretical progress, a quantitative understanding of this breakup pathway through mathematical models has largely remained inconclusive. This limitation has mainly been due to the fact that the generally applied electrostatic boundary condition of the equipotential surface may not be valid near conical ends that experience a singularly fast dynamics near the point of fission. Considering this, we address the problem by invoking the surface charge dynamics within the framework of an axisymmetric boundary element method (BEM), in the viscous limit. The abandonment of the equipotential assumption gives rise to weak tangential electric stresses which turn out to be key the contributors to the emergence of a jet followed by formation of a progeny droplet. The simulations further predict that the size of the progeny droplet follows an inverse power-law scaling relationship with the conductivity of the liquid drop and the smaller sized progenies carry a charge close to its Rayleigh limit.

physics.flu-dyn↗