arXiv subjects

Kirti Chandra Sahu

Publications and source records attributed to Kirti Chandra Sahu.

At least 19 recordsLinked to original sources

arXiv2026

Dynamics of liquid jet breakup and droplet size distribution in a crossflow airstream

The fragmentation of a liquid jet in a crossflowing airstream arises from a complex interplay between aerodynamic forcing and interfacial instabilities acting across a wide range of length scales. We examine the spatial evolution of droplet size distributions along the jet trajectory using a combination of high-speed shadowgraphy and digital in-line holography, allowing simultaneous characterization of jet morphology and volumetric droplet size distributions. The results demonstrate a clear progression of breakup mechanisms, from near-field bag rupture to downstream rim, ligament, and node disintegration, each associated with distinct characteristic length scales. This evolution is reflected in the droplet size distributions, which broaden and become increasingly polydisperse downstream relative to the near-field distributions. By systematically varying the liquid-jet and airstream Weber numbers, we identify distinct breakup modes, and construct a regime map that delineates the column-breakup, isolated-bag-breakup, and interacting-bag regimes. Furthermore, by incorporating the dominant instability mechanisms, including Rayleigh-Taylor and Rayleigh-Plateau instabilities associated with the observed column, bag, and multi-bag breakup modes, we develop a theoretical framework for jet atomization in crossflow. The framework relates instability wavelengths to characteristic droplet sizes, and reasonably captures the experimentally observed trends. We found that stronger aerodynamic forcing induces earlier breakup, decreases the characteristic instability length scales, and generates finer droplets dispersed over a wider spatial region. Overall, the study establishes a quantitative relationship between instability-driven fragmentation dynamics and droplet size distributions, thereby connecting interfacial instabilities with measurable spray characteristics.

physics.flu-dyn↗

arXiv2026

Compression-controlled dynamic buckling in thin soft sheets

We investigate experimentally the dynamic phase transition from compressed to buckled phases for thin sheets of rubber. We find that the rubber strips enter a highly compressed, metastable state when compression speed is high. During the compressed phase, higher modes grow, followed by mode coarsening. Mode growth is accompanied by an expansion of length while the system is still being compressed. We measure the forces and length of the sheet to confirm this, and we develop a mechanism for how modes grow and coarsen during dynamical buckling. The influence of crucial control parameters in the experiments, such as the material cross section and compression speed, on the buckling dynamics, are explained theoretically.

cond-mat.soft↗

arXiv2026

Asymmetric freezing of a sliding droplet on an inclined surface

We investigate the asymmetric freezing of a liquid droplet sliding on an inclined cold surface using numerical simulations based on the lubrication approximation. The combined effects of gravity, capillarity, and solidification kinetics on droplet motion, interfacial deformation, and the resulting frozen morphology are examined through systematic variations in substrate inclination, wettability, effective Bond number, and Stefan number. Our results show that sliding prior to and during the early stages of freezing plays a dominant role in governing the asymmetry of the frozen droplet. A tilted ice cusp forms at the droplet tip due to the competition between gravitational forces and capillary resistance, with its orientation and magnitude strongly dependent on substrate wettability and inclination. Greater inclination and increased wettability enhance asymmetry in droplet morphology. Further, highly wetting substrates favor capillary-driven retraction and induce transient liquid motion opposite to gravity during freezing. The evolution of contact-angle hysteresis at both the solid surface and the liquid-ice interface underscores the importance of early-time dynamics, when the unfrozen liquid remains mobile and gravitational effects are most pronounced. Decomposition of the liquid motion into capillary and gravity-driven contributions provides physical insight into contact-line pinning, receding-edge thinning, and the development of asymmetric liquid-ice contact angles. Increasing the Stefan number accelerates freezing, limits sliding-induced deformation, and reduces both the cusp angle and the post-freezing contact-angle contrast. Overall, this study establishes a physical framework for understanding the morphology of frozen droplets on inclined substrates.

physics.flu-dyn↗

arXiv2026

Evaporation of a freely floating droplet in an airstream: effects of temperature, humidity, and shape oscillations

We present a comprehensive experimental and theoretical investigation of the evaporation dynamics of freely levitated water droplets in an upward airstream under varying temperature and relative humidity conditions, using a custom-designed wind tunnel that replicates natural rainfall scenarios. A high-speed imaging system captures the temporal evolution of morphology, shape oscillations, and size reduction of the droplet undergoing evaporation. Our observations reveal that larger droplets exhibit persistent shape oscillations due to the interplay between inertia and surface tension in the presence of convective airflow, which significantly alters the evaporation rate compared to that of a stationary spherical droplet in quiescent air. To quantify the effects of air convection, complex morphology, and shape oscillations of the levitated droplet at different temperatures and humidity, we develop a modified evaporation model that extends the classical $d^2$-law. This model incorporates (i) a generalized Sherwood number that accounts for the variation in Reynolds number, Schmidt number, temperature, and relative humidity and (ii) a shape factor that captures the time-averaged surface area of oscillating droplets. The model is validated against experimental findings across a wide range of droplet sizes and environmental conditions, showing excellent agreement in predicting the temporal evolution of droplet diameter and total evaporation time. Furthermore, we construct a regime map showing the variation in the lifetime of the droplet in the temperature-humidity space. The present study establishes a framework that integrates convective transport and morphological deformation, offering new insights into the microphysics of raindrop evaporation.

physics.flu-dyn↗

arXiv2026

Effect of velocity, fluid properties and drop shape on coalescence and neck oscillation

We perform axisymmetric numerical simulations to investigate the coalescence dynamics of a liquid drop in a deep liquid pool. This study aims to generalize the mechanisms of partial coalescence across a range of drop shapes, elucidate the underlying mechanism of neck oscillations, and examine the roles of inertial, viscous and gravitational forces, quantified by the Weber, Ohnesorge, and Bond numbers, in governing the coalescence behavior. A phase diagram is constructed to delineate the boundaries between partial and complete coalescence regimes based on these dimensionless parameters. Our analysis of the height-to-neck ratio shows that, upon contact with the pool, the primary drop forms an upward liquid column that ultimately pinches off due to inwardly directed horizontal momentum. Additionally, the study suggests that as the dimensionless numbers increase, the effect of the vertical collapse rate plays a significant role in the outcome of the coalescence process. Notably, the Rayleigh-Plateau instability is found to be insignificant in driving partial coalescence within the explored parameter space. We identified a transition regime between partial and complete coalescence, characterized by multiple neck oscillations that delay the pinch-off of secondary droplets. The formation of secondary droplets is most prominent for prolate drops, followed by spherical and oblate drops of comparable volume. Furthermore, we observe that the tendency to form multiple droplets from elongated liquid columns diminishes with an increase in the impact velocity of the primary drop.

physics.flu-dyn↗

arXiv2026

Unveiling crown-finger instability of a non-spherical drop impacting a liquid surface

We present a three-dimensional numerical study of the splashing dynamics of non-spherical droplets impacting a quiescent liquid film, covering a wide range of aspect ratios (Ar) and Weber numbers (We). The simulations reveal distinct impact dynamics, such as spreading, splashing type-1, splashing type-2, and canopy formation, which are delineated in a regime map constructed in the Ar-We parameter space. Our results demonstrate that droplet morphology during the impact significantly influences crown evolution and splash initiation, with oblate drops promoting finger growth and fragmentation due to enhanced rim deceleration, while prolate drops tend to form canopies. We observe that the hole instability, which becomes more prominent at higher Weber numbers, arises from lamella rupture in the thinnest region of the film, located just beneath the crown rim. A linear stability analysis, supplemented by the temporal evolution of the crown obtained from the numerical simulations, adequately predicts the number of fingers formed along the crown rim by accounting for both Rayleigh-Plateau (RP) and Rayleigh-Taylor (RT) instabilities. The theoretical analysis demonstrates the dominant role of the Rayleigh-Plateau instability in determining the number and wavelength of early undulations, with the Rayleigh-Taylor instability serving to amplify the growth rate of the disturbances. Our findings highlight the critical role of the droplet shape in splash dynamics, which is relevant to a range of applications involving droplet impact.

physics.flu-dyn↗

arXiv2026

Instabilities in Drying Colloidal Films: Role of Surface Charge and Substrate Wettability

The drying of colloidal suspensions leads to complex deposition patterns, accompanied by instabilities such as cracking and delamination. In this study, we experimentally investigate the coupled influence of particle surface charge and substrate wettability on the evaporation dynamics, final deposition morphology, and crack patterns of sessile droplets containing silica nanoparticles. We examine the dynamics of two types of colloids, namely the negatively charged colloidal silica nanoparticles (Ludox TM50) and the positively charged silica nanoparticle (Ludox CL30), at concentrations ranging from 0.1 to 5.0 weight percentages, deposited on glass, polystyrene, and polytetrafluoroethylene (PTFE) substrates with distinct wettability. Side and top-view imaging techniques are employed to capture the evaporation process and analyze the resulting cracks. Our results reveal that the nature of the particle charge and substrate wettability significantly affect the evaporation mode, with transitions observed between constant contact radius (CCR), constant contact angle (CCA), and mixed modes. TM50-laden droplets consistently exhibit radial cracks, whereas CL30 droplets display more randomly oriented and irregular cracks. At higher particle concentrations, TM50 suspensions form thicker deposits that undergo delamination, particularly on highly wettable substrates like glass. Quantitative analysis reveals that crack spacing and length follow power-law relationships with particle concentration. Additionally, the delamination behavior is strongly influenced by both the particle concentration and the type of substrate. We propose a mechanistic framework to explain the role of particle-substrate interactions in governing the observed cracking and delamination behaviors.

cond-mat.soft↗

arXiv2025

A new instability driven by the combined effect of wind stress and rotation in a sheared liquid layer

We examine the linear stability of a shear flow driven by wind stress at the free surface and rotation at the lower boundary, mimicking oceanic flows influenced by surface winds and rotation of Earth. The linearised eigenvalue problem is solved using the Chebyshev spectral collocation method and a longwave asymptotic analysis. Our results reveal new longwave instability modes that emerge for non-zero rotational Reynolds numbers. It is observed that the most unstable mode, characterised by the lowest critical parameters, corresponds to longwave spanwise disturbances with vanishing streamwise wavenumber. The asymptotic analysis, which shows excellent agreement with numerical results, analytically confirms the existence of this instability. Thus, the present study demonstrates the hitherto unreported combined influence of wind stress and rotation of Earth on ocean dynamics.

physics.flu-dyn↗

arXiv2025

Evaporation Dynamics of Completely Pinned and Partially Pinned Sessile Droplets in Multi-Droplet Configurations

The evaporation of sessile droplets placed in close proximity is influenced by complex vapor-vapor interactions, producing a shielding effect that can significantly extend droplet lifetimes. This study presents a systematic experimental investigation of evaporation dynamics in multi-droplet configurations under ambient conditions, comparing completely pinned and partially pinned contact line modes. Completely pinned droplets are generated by introducing alumina nanoparticles, while partially pinned droplets consist of pure water. An isolated droplet is compared with arrays of two, three, and five droplets, each arranged at a fixed spacing ratio. High-speed shadowgraphy is used to measure droplet height, contact angle, volume, and lifetime. Results show that, although completely pinned droplets evaporate faster in absolute terms due to a constant contact radius, they experience a more pronounced relative lifetime increase from vapor shielding than partially pinned droplets. In five-droplet configurations, lifetimes increase by up to 89% and 124% compared to isolated droplets for partially pinned and completely pinned modes, respectively. A theoretical model incorporating evaporative cooling predicts central droplet lifetimes with good agreement. These findings underscore the coupled influence of contact line mobility and droplet proximity on evaporation rates.

physics.flu-dyn↗

arXiv2025

Evaporation of sessile drops on a heated superhydrophobic substrate

We experimentally investigate the evaporation dynamics of sessile water droplets on a micro-nano textured superhydrophobic aluminum substrate at various temperatures using shadowgraphy imaging. By comparing the evaporation behavior of two droplets placed side-by-side with that of an isolated droplet, we find that droplets in the two-drop system evaporate more slowly due to the vapor shielding effect, which increases vapor concentration between the droplets. This leads to asymmetric evaporation and longer lifetimes, particularly at room temperature compared to higher temperatures. At room temperature, the isolated droplet primarily follows a constant contact angle (CCA) mode, with occasional stick-slip events. The two-drop system predominantly exhibits CCA mode for most of its lifetime, with mixed-mode evaporation and some stick-slip behavior. At elevated temperatures, the isolated droplet maintains a nearly constant contact angle for the first half of its lifetime, transitioning to a mixed evaporation mode with occasional stick-slip events. In contrast, the two-drop system follows a mixed evaporation mode throughout, with occasional stick-slip behavior. Furthermore, a comprehensive theoretical model that accounts for diffusion, evaporative cooling, and convection accurately captures the evaporation dynamics of sessile droplets on a superhydrophobic substrate in both isolated and paired configurations at elevated substrate temperatures. In contrast, a diffusion-based model alone adequately describes the evaporation behaviour at room temperature.

physics.flu-dyn↗

arXiv2025

Exacerbation of viscoelastic instability due to viscous heating

The linear stability analysis of the pressure-driven flow of an Oldroyd-B fluid through a plane channel is performed to examine the effects of viscous heating-induced buoyancy on the ``purely elastic instability" predicted by \citet{khalid2021continuous} (Phys. Rev. Lett., 2021, 127, 134502). We do not impose any external heating; rather, the temperature increase in the system is solely due to the viscous heating generated by the flow of a highly viscous fluid, which induces buoyancy. This buoyancy effect adds an extra term to the momentum equation, proportional to the ratio of the Grashof and Reynolds numbers. Since the elastic instability manifests at very low Reynolds numbers, this buoyancy term is crucial for determining flow stability. Our analysis indicates a significant decrease in the critical Weissenberg number due to the viscous heating-induced buoyancy effect, implying that the elastic instability could potentially be observed experimentally at a significantly lower Weissenberg number than that predicted by Khalid et al. (2021b). The asymmetry in the streamwise velocity eigenfunctions, resulting from the presence of viscous heating, is found to be the mechanism behind the predicted destabilizing effect.

physics.flu-dyn↗

arXiv2025

Jet breakup dynamics of viscoelastic carboxymethyl cellulose solutions

We experimentally investigate the breakup dynamics of viscoelastic jets composed of carboxymethyl cellulose (CMC) solutions, focusing on the dripping and Rayleigh regimes at low flow rates. By varying the CMC concentration, needle diameter ($D_n$), and flow rate ($Q$), we analyze the effects of elasticity, viscosity, and flow conditions on jet stability and droplet formation. Our results show that increasing CMC concentration enhances viscoelastic effects, leading to prolonged jet lifetimes, extended liquid threads, and modified pinch-off behavior. At higher concentrations, elasticity suppresses capillary-driven instabilities, slowing thinning and facilitating the formation of beaded structures. We observe that the interplay between inertial, capillary, and elastic forces, influenced by CMC concentration, governs the jet length, droplet volume, and breakup time, with needle diameter and flow rate playing a crucial role in jet breakup phenomenon.

physics.flu-dyn↗

arXiv2025

Drop size distribution from laboratory experiments based on single-drop fragmentation and comparison with aerial in-situ measurements

Laboratory experiments and theoretical modelling are conducted to determine the raindrop size distribution (DSD) resulting from distinct fragmentation processes under various upward airstreams. Since weather radar echoes are proportional to the sixth power of the average droplet diameter, understanding the fragmentation mechanisms that lead to different breakup sizes is crucial for accurate rainfall predictions. We utilize a two-parameter gamma distribution for theoretical modelling and estimate the average droplet diameter from the theoretically obtained characteristic sizes, often treated as assumed input parameters for different rain conditions in rainfall modelling. Our experimental and theoretical findings demonstrate a close agreement with the DSD predicted by the Marshall and Palmer relationship for steady rain conditions. Additionally, in situ DSD measurements at different altitudes were obtained through research flights equipped with advanced sensors, further validating our rainfall model. This study underscores the effectiveness of laboratory-scale experiments and the critical importance of accurately characterizing DSD to enhance rainfall predictions.

physics.flu-dyn↗

arXiv2025

Droplet breakup morphologies and the resultant size distribution in an opposed-flow airstream at different Weber numbers

The present study investigates the morphology and breakup dynamics of a freely falling drop in a vertical airstream using shadowgraphy and in-line holography. The in-line holography provides the temporal evolution of the volumetric size distribution of child droplets formed during various fragmentation processes at different Weber numbers (We). The droplet undergoes different fragmentation processes at significantly lower Weber numbers in opposed-flow configurations compared to cross-flow configurations. Our findings reveal distinct fragmentation modes, namely bag, bag-stamen, and dual-bag breakup, observed at We=9.38, 16.9, and 18.9, respectively. At We = 9.38, the combined effects of bag rupture, rim breakup, and node fragmentation generate child droplets of varying sizes, driven by the interplay of the Rayleigh-Plateau and Rayleigh-Taylor instabilities. At We = 16.9, the interaction of aerodynamic and shear forces leads to bag-stamen fragmentation, characterized by forming a stamen-like structure along with the bag. Both bag and bag-stamen breakups result in tri-modal size distributions. However, at We = 16.9, fewer tiny droplets are produced compared to the bag breakup observed at lower Weber numbers. In contrast, at We = 18.9, a dual-bag breakup occurs, where both bags inflate and burst simultaneously. This process generates tiny child droplets in the early stages, while larger child droplets form later due to the fragmentation of the rim and nodes, resulting in a bi-modal size distribution. We have performed a theoretical analysis using a two-parameter gamma distribution, which satisfactorily predicts the size distributions observed experimentally at different Weber numbers.

physics.flu-dyn↗

arXiv2024

Evaporation-driven coalescence of two droplets undergoing freezing

We examine the evaporation-induced coalescence of two droplets undergoing freezing by conducting numerical simulations employing the lubrication approximation. When two sessile drops undergo freezing in close vicinity over a substrate, they interact with each other through the gaseous phase and the simultaneous presence of evaporation/condensation. In an unsaturated environment, the evaporation flux over the two volatile sessile drops is asymmetric, with lower evaporation in the region between the two drops. This asymmetry in the evaporation flux generates an asymmetric curvature in each drop, which results in a capillary flow that drives the drops closer to each other, eventually leading to their coalescence. This capillary flow, driven by evaporation, competes with the upward movement of the freezing front, depending on the relative humidity in the surrounding environment. We found that higher relative humidity reduces the evaporative flux, delaying capillary flow and impeding coalescence by restricting contact line motion. For a constant relative humidity, the substrate temperature governs the coalescence phenomenon, and resulting condensation can accelerate this process. Interestingly, lower substrate temperatures are observed to facilitate faster propagation of the freezing front, which, in turn, restricts coalescence.

physics.flu-dyn↗

arXiv2024

Three-dimensional simulation of film boiling on a horizontal surface with magnetic field

This study conducts a numerical investigation into the three-dimensional film boiling of liquid under the influence of external magnetic fields. The numerical method incorporates a sharp phase-change model based on the volume-of-fluid approach to track the liquid-vapor interface. Additionally, a consistent and conservative scheme is employed to calculate the induced current densities and electromagnetic forces. We investigate the magnetohydrodynamic effects on film boiling, particularly examining the pattern transition of the vapor bubble and the evolution of heat transfer characteristics, exposed to either a vertical or horizontal magnetic field. In single-mode scenarios, film boiling under a vertical magnetic field displays an isotropic flow structure, forming a columnar vapor jet at higher magnetic field intensities. In contrast, horizontal magnetic fields result in anisotropic flow, creating a two-dimensional vapor sheet as the magnetic strength increases. In multi-mode scenarios, the patterns observed in single-mode film boiling persist, with the interaction of vapor bubbles introducing additional complexity to the magnetohydrodynamic flow. More importantly, our comprehensive analysis reveals how and why distinct boiling effects are generated by various orientations of magnetic fields, which induce directional electromagnetic forces to suppress flow vortices within the cross-sectional plane.

physics.flu-dyn↗

arXiv2024

Dynamics of jet breakup and the resultant drop size distribution: effect of nozzle size and impingement velocity

We conduct systematic experiments to investigate the dynamics of liquid jet breakup and the resulting droplet size distribution, emphasizing the influence of liquid jet velocity and needle exit diameter. We precisely control jet formation using a pressurized water tank equipped with needles of different sizes. Our study quantifies breakup dynamics through dimensionless parameters such as the liquid Weber number and the needle exit area ratio. Our key findings identify three distinct breakup regimes, such as dripping, Rayleigh, and wind-induced, each dictated by the interplay of surface tension and aerodynamic forces for various combinations of liquid jet velocity and needle exit diameter. We construct a regime map to delineate different breakup behaviours in the We - Ar space. It is observed that lower jet velocities produce narrow probability density functions for jet breakup length due to stable jets, whereas higher velocities result in broader distributions. Increasing jet velocity extends breakup lengths for moderate flow rates due to enhanced stability in the Rayleigh regime, but higher velocities induce instability, leading to shorter breakup lengths. Additionally, we analyze the effects of the needle exit area ratio and liquid Weber number on droplet size distribution, highlighting the transition from mono-modal to bi-modal distribution under varying conditions.

physics.flu-dyn↗

arXiv2024

Intricate Evaporation Dynamics in Different Multi-Droplet Configurations

We experimentally investigate the evaporation dynamics of an array of sessile droplets arranged in different configurations. Utilizing a customized goniometer, we capture side and top view profiles to monitor the evolution of height, spread, contact angle, and volume of the droplets. Our results reveal that the lifetime of a droplet array surpasses that of an isolated droplet, attributed to the shielding effect induced by neighbouring droplets, which elevates the local vapour concentration, thereby reducing the evaporation rate. We found that lifetime increases as droplet separation distance decreases at a fixed configuration and substrate temperature. It is observed that the lifetimes increase with the number of droplets. We observe a decrease in lifetimes, following a power law trend with increasing substrate temperature, with the shielding effect diminishing at higher substrate temperatures due to natural convective effects. We also observe a generalised behavior for the centrally placed droplet across various separation distances and substrate temperatures. This arises from different droplet configurations and substrate temperatures, which modify the local vapour concentration around the droplets without significantly impacting the contact line dynamics. Additionally, the experimental results are compared with a diffusion-based theoretical model that incorporates the evaporative cooling effect to predict the lifetime of the central droplet within the array. We observe that the theoretical model satisfactorily predicts the lifetime of the droplet at room temperature. However, for high-temperature cases, the model slightly overpredicts the evaporative lifetimes.

physics.flu-dyn↗