A theoretical model is developed to study the deformation dynamics of a biconcave red blood cell (RBC) in a viscous fluid driven by an ultrasonic standing wave. The model considers the true physiological shape of RBCs with biconcave geometry, overcoming the challenges of modelling the nonlinear acoustomechanical coupling of complex biconcave curved shells. The hyperelastic shell theory is used to describe the cell membrane deformation. The acoustic perturbation method is employed to divide the Navier–Stokes equations for viscous flows into the acoustic wave propagation equation and the mean time-averaged dynamic equation. The time-average flow–membrane interaction is considered to capture the cell deformation in acoustic waves. Numerical simulations are performed using the finite element method by formulating the final governing equation in weak form. And a curvature-adaptive mesh refinement algorithm is specifically developed to solve the error problem caused by the nonlinear response of biconcave boundaries (such as curvature transitions) in fluid–structure coupling calculations. The results show that when the acoustic input is large enough, the shape of the cell at the acoustic pressure node changes from a biconcave shape to an oblate disk shape, thereby predicting and discovering for the first time the snap-through instability phenomenon in bioncave RBCs driven by ultrasound. The effects of fluid viscosity, surface shear modulus and membrane bending stiffness on the deformation of the cell are analysed. This numerical model has the ability to accurately predict the acoustic streaming fields and associated time-averaged fluid stress, thus providing insights into the acoustic deformation of complex-shaped particles. Given the important role of the mechanical properties of RBCs in disease diagnosis and biological research, this work will contribute to the development of acoustofluidic technology for the detection of RBC-related diseases.

We present a theoretical study, supported by simulations and experiments, on the spreading of a silicone oil drop under MHz-frequency surface acoustic wave (SAW) excitation in the underlying solid substrate. Our time-dependent theoretical model uses the long-wave approach and considers interactions between fluid dynamics and acoustic driving. While similar methods have analysed the micron-scale oil and water film dynamics under SAW excitation, acoustic forcing was linked to boundary layer flow, specifically Schlichting and Rayleigh streaming, and acoustic radiation pressure. For the macroscopic drops in this study, acoustic forcing arises from Reynolds stress variations in the liquid due to changes in the intensity of the acoustic field leaking from the SAW beneath the drop and the viscous dissipation of the leaked wave. Contributions from Schlichting and Rayleigh streaming are negligible in this case. Both experiments and simulations show that, after an initial phase where the oil drop deforms to accommodate acoustic stress, it accelerates, achieving nearly constant speed over time, leaving a thin wetting layer. Our model indicates that the steady speed of the drop results from the quasi-steady shape of its body. The drop speed depends on drop size and SAW intensity. Its steady shape and speed are further clarified by a simplified travelling-wave-type model that highlights various physical effects. Although the agreement between experiment and theory on drop speed is qualitative, the results’ trend regarding SAW amplitude variations suggests that the model realistically incorporates the primary physical effects driving drop dynamics.

Supersonic jets impinging on a ground plane produce a highly unsteady jet shear layer, often resulting in extremely high noise level. The widely accepted mechanism for this jet resonance involves a feedback loop consisting of downstream-travelling coherent structures and upstream-propagating acoustic waves. Despite the importance of coherent structures, often referred to as disturbances, that travel downstream, a comprehensive discussion on the disturbance convection velocity has been limited due to the challenges posed by non-intrusive measurement requirements. To determine the convection velocity of disturbances in the jet shear layer, a high-speed schlieren flow visualisation is carried out, and phase-averaged wave diagrams are constructed from the image sets. The experiments are conducted using a Mach 1.5 jet under various nozzle pressure ratios and across a range of impingement distances. A parametric analysis is performed to examine the influence of nozzle pressure ratio on the convection velocity and phase lead/lag at specific impingement distances. The results reveal that impingement tonal frequency is nearly independent of the disturbance convection velocity, except in cases of staging behaviour. They also demonstrated that slower downstream convection velocity of the disturbance corresponds to larger coherent structures, resulting in increased noise levels. Based on the observation of acoustic standing waves, an acoustic speed-based frequency model has been proposed. With the help of the allowable frequency range calculated from the vortex-sheet model, this model can provide a good approximation for the majority of axisymmetric impingement tonal frequencies.

We present a mathematical solution for the two-dimensional linear problem involving acoustic-gravity waves interacting with rectangular barriers at the bottom of a channel containing a slightly compressible fluid. Our analysis reveals that, below a certain cutoff frequency, the presence of a barrier inhibits the propagation of acoustic-gravity modes. However, through the coupling with evanescent modes existing in the barrier region, we demonstrate the phenomenon of ‘tunnelling’ where the incident acoustic-gravity wave energy can leak to the other side of the barrier, creating a propagating acoustic-gravity mode of the same frequency. Notably, the amplitude of the tunnelling waves exponentially decays with the width of the barrier, analogous to the behaviour observed in quantum tunnelling phenomena. Moreover, a more general solution for multi-barrier and multi-modes is discussed. It is found that tunnelling energy tends to transform from an incident mode to the lowest neighbouring modes. Resonance due to barrier length results in more efficient energy transfer between modes.

This paper presents a theoretical investigation of vortex modes in acoustofluidic cylindrical resonators with rigid boundaries and viscous fluids. By solving the Helmholtz equation for linear pressure, incorporating boundary conditions that account for no-slip surfaces and vortex and non-vortex excitation at the base, we analyse both single- and dual-eigenfunction modes near system resonance. The results demonstrate that single-vortex modes generate spin angular momentum exclusively along the axial direction, while dual modes introduce a transverse spin component due to the nonlinear interaction between axial and transverse ultrasonic waves, even in the absence of vortex excitation. We find that nonlinear acoustic fields, including energy density, radiation force potential and spin, scale with the square of the shear wave number, defined as the ratio of the cavity radius to the thickness of the viscous boundary layer. Theoretical predictions align closely with finite element simulations based on a model for an acoustofluidic cavity with adiabatic and rigid walls. These findings hold particular significance for acoustofluidic systems, offering potential applications in the precise control of cells and microparticles.

Homophonous morphs have been reported to show differences in acoustic duration in languages such as English and German. How common these differences are across languages, and what factors influence the extent of temporal differences, is still an open question, however. This paper investigates the role of morphological disambiguation in predicting the acoustic duration of homophones using data from a diverse sample of 37 languages. Results indicate a low overall contribution of morphological affiliation compared to other well-studied effects on duration such as speech rate and Final Lengthening. It is proposed that two factors increase the importance of homophony avoidance for the acoustic shape of morphs: crowdedness (i.e. the number of competing homophones) and segmental make-up, in particular the presence of an alveolar fricative. These findings offer an empirically broad perspective on the interplay between morphology and phonetics and align with the view of language as an adaptive and efficient system.

The current study characterized voice onset time (VOT) and vowel onset fundamental frequency (F0) in the production of three Vietnamese alveolar stops (i.e. /t̪ʰ/, /t/, and /d/) by monolingual Vietnamese children and adults. Eighty Vietnamese children aged 3–7 years and 16 adults aged 22–44 years participated in this study. Unlike speakers of other languages with a three-way voicing contrast, Vietnamese children were able to produce distinct categories for the three Vietnamese stop categories by 3 years of age. However, differences in vowel onset F0 among the three voicing categories were not significant in any age group. These findings enhance our understanding of how Vietnamese children acquire three-way voicing contrast in stop production and offer broader insights into stop consonant acquisition across languages.

Discourse on the existence of Ghanaian English (GhE) has provided several works leading to the descriptions of GhE pronunciations, especially vowels. However, the major challenge is that most of these studies, impressionistically, have provided different numbers of the English monophthongal vowels used in the Ghanaian context and often discount the existence of certain vowels used in GhE. Consequently, the present study employed the acoustic approach to investigate the English monophthongs produced by 40 educated Ghanaian speakers of English. The purposive sampling was used to select those with first degree to study. The descriptive research design was used to study the formant one and two of the vowels. The vowels were studied within three different contextual realisations: in citation, in sentences and in spontaneous speech. The results revealed that the Ghanaian speakers of English employed in this study realised the English vowels /iː, ɪ, e, a, ɑː, ɒ, ɔː, ʊ, uː ʌ, ə/. The /ɜː/ vowel was shortened while the /æ/ was replaced with the /a/ vowel. This suggests that most of the Ghanaian speakers of English in this study could produce more RP vowels, contrary to earlier studies.

We examined theoretically, experimentally and numerically the origin of the acoustothermal effect using a standing surface acoustic wave-actuated sessile water droplet system. Despite a wealth of experimental studies and a few recent theoretical explorations, a profound understanding of the acoustothermal mechanism remains elusive. This study bridges the existing knowledge gap by pinpointing the fundamental causes of acoustothermal heating. Theory broadly applicable to any acoustofluidic system at arbitrary Reynolds numbers, going beyond the regular perturbation analysis, is presented. Relevant parameters responsible for the phenomenon are identified and an exact closed-form expression delineating the underlining mechanism is presented. We also examined the impact of viscosity on acoustothermal phenomena by modelling temperature profiles in sessile glycerol–water droplets, underscoring its crucial role in modulating the acoustic field and shaping the resulting acoustothermal profile. Furthermore, an analogy between the acoustothermal effect and the electromagnetic heating is drawn, thereby deepening the understanding of the acoustothermal process.

The interaction between acoustic and surface gravity waves is generally neglected in classical water-wave theory due to their distinct propagation speeds. However, nonlinear dynamics can facilitate energy exchange through resonant triad interactions. This study focuses on the resonant triad interaction involving two acoustic modes and a single gravity wave in water of finite and deep depths. Using the method of multiple scales, amplitude equations are derived to describe the spatio-temporal behaviour of the system. Energy transfer efficiency is shown to depend on water depth, with reduced transfer in deeper water and enhanced interaction in shallower regimes. Numerical simulations identify parameter ranges, including resonant gravity wavenumber, initial acoustic amplitude and wave packet width, where the gravity-wave amplitude is either amplified or reduced. These results provide insights into applications such as tsunami mitigation and energy harnessing.

Combustion instability analysis in annular systems often relies on reduced-order models that represent the complexity of combustion dynamics in a framework in which the flame is represented by a ‘flame describing function’ (FDF), portraying its heat release rate response to acoustic disturbances. However, in most cases, FDFs are only available for a limited range of disturbance amplitudes, complicating the description of the saturation process at high oscillation levels leading to the establishment of a limit cycle. This article shows that this difficulty may be overcome using a novel experimental scheme, relying on injector staging and in which the oscillation amplitude at limit cycle can be controlled, enabling us to measure FDFs from simultaneous pressure and heat release rate recordings. These data are then exploited to replace the standard modelling, in which the heat release rate is expressed as a third-order polynomial of pressure fluctuations, by a function of the modulation amplitude, allowing an easier adaptation to experimental data. The FDF is then used in a dynamical framework to analyse a set of staging configurations in an annular combustor, where two families of injectors are mixed and form different patterns. The limit-cycle amplitudes and the coupling modes observed experimentally are suitably retrieved. Finally, an expression for the growth rate is derived from the slow-flow variable equations defining the modal amplitudes and phase functions, which is shown to exactly agree with that obtained previously by using acoustic energy principles, providing a theoretical link between growth rates and limit-cycle amplitudes.

This exploratory study investigates sibilants in Mixean Low Navarrese, an endangered variety of Basque. This variety has been described with ten different contrastive sibilants: /s̻, s̺, ʃ, t͡s̻, t͡s̺, t͡ʃ, z̻, z̺, ʒ, d͡z̺/. The objective of the paper is to (a) provide a detailed description of the acoustics of Mixean sibilants, and (b) elucidate whether ten categories can be proposed based only on acoustical data, or whether fewer categories should be considered. The study is based on free-conversation data of ten subjects (three females, seven males) aged between 80 and 85 years. We analyze metrics reflecting the place of articulation (spectral moments, and especially the center of gravity (CoG)), including also the temporal dynamics of CoG (using the discrete cosine transform of CoG measurements of nine intervals of each phone). We also explore the acoustic correlates of the contrasts between (a) voiced and voiceless sounds and (b) fricative and affricate sounds. The results show that only seven categories can be proposed based on acoustic measurements. The lamino-alveolar series reliably contrasts with the rest, but the distinction does not hold between the apico-alveolar and the postalveolar series. We found minimal differences in the analysis of dynamic data, and none in the static analysis.

Combustion instabilities in annular systems raise fundamental issues that are also of practical importance to aircraft engines and ground-based gas turbine combustors. Recent studies indicate that the injector plays a significant role in the stability of combustors by defining the flame dynamical response and setting the inlet impedance of the system. The present investigation examines the effects of combinations of injectors of two different types ($U$ and $S$) on thermoacoustic instabilities in a laboratory-scale annular combustor and compares different circumferential staging strategies. The combustor operates in a stable fashion when all injection units belong to the $S$-family, but exhibits large amplitude pressure oscillations when all these units are of the $U$-type. When the system comprises a mix of $U$- and $S$-injectors, it is possible to determine the number of $S$-injectors leading to stable operation. For a fixed proportion of $U$- and $S$-injectors, some arrangements give rise to stable operation while others do not. Results also show that introducing symmetry-breaking elements affects the system's modal dynamics. These experimental observations are interpreted in an acoustic energy balance framework used to derive an expression for the growth rate as a function of the describing functions of the flames formed by the different injectors and their respective azimuthal locations. Growth rates are determined for the different configurations and used to explain the various observations, estimate the system damping rate and predict the location of the nodal line when the standing mode prevails.

Recently, significant advances have been made in the theory and application of acoustic and electroacoustic spectroscopies for measuring the particle-size distribution (PSD) and zeta potential (ζ potential) of colloidal suspensions, respectively. These techniques extend or replace other techniques, such as light-scattering methods, particularly in concentrated suspensions. In this review, we summarize acoustic and electroacoustic theory and published results on clay mineral suspensions, detail theoretical constraints, and indicate potential applications for the study of environmentally significant clay mineral suspensions. Using commercially available instrumentation and suspension concentrations up to 45 vol.%, acoustic spectroscopy can characterize particle sizes from 10 nm to 10 µm, or greater. Electroacoustic spectroscopy can determine the ζ potential of a suspension with a precision and accuracy in the mV range. Despite the clear potential for their use in environmental settings, to date, acoustic methods have been used mainly on clay mineral colloids with industrial application, typically combined with similar measurements such as isoelectric point (IEP) determined from shear yield stress or ζ potential from electrophoretic mobility measurements. Potential applications in environmentally relevant suspension concentrations are significant, as PSD and ζ potential are important factors influencing the transport of mineral colloids and associated contaminants through porous media. Applications include determining the effects of suspension concentration, surfactants, electrolyte strength, pH and solution composition on soil clay properties and colloidal interactions, and determining changes in PSD, aggregation and ζ potential due to adsorption or variations in the clay mineralogy.

In this paper, we examine the acoustics of vowels in the Imilike [ìmìlìkè] dialect of Igbo (Igboid, Niger-Congo), which has not previously been done. While Standard Igbo has eight vowels, previous auditorily-based research has identified eleven vowels in Imilike. Like Standard Igbo, Imilike contrasts vowels in Advanced/Retracted Tongue Root (ATR vs. RTR). We find that there are eleven vowels, distinguished most reliably by F1, B1, energy (dB) of voiced sound below 500Hz and duration. The results of this study also suggest that RTR vowels in Imilike might involve the laryngeal constriction and movement that accompany pharyngealization. The ATR and RTR schwas have similar phonological distribution and acoustic patterns as the other ATR and RTR vowels in the language.