Jörn Sesterhenn

Explosive volcanic eruptions produce vast amounts of acoustic energy, generally in the infrasound range. For sustained eruptions, infrasound is often dominated by jet noise, a form of noise similar to the sound from human‐made jet engines. Jet noise largely results from the combination of two sound‐producing components: fine‐scale turbulence (FST) and large‐scale turbulence (LST), with distinctive frequency spectra. FST and LST spectra successfully reproduce single‐phase jet noise data (gas‐only), but little research has been directed toward multi‐phase jets, like volcanic jets (gas with solid particles). Here, we report novel experiments investigating the noise produced by particle‐laden jets. We produced both pure‐air and particle‐laden jets (nozzle diameters: 3.5–8 mm) and recorded the resulting sound at observation angles 42–159° (where 180° is the jet's propagation direction). Fitting FST and LST spectra to the particle‐laden noise spectra was less accurate than in the pure‐air case. The most prominent difference is the absence of LST‐dominated noise at high observation angles. We hypothesize that the particles break down large‐scale structures in the jet, thus favoring FST noise generation. Slower jet exit velocities due to the presence of particles may also explain some of the discrepancies observed and will require careful constraining in the future. The effect of particles on jet noise was most easily measured at high observation angles, which are also the most challenging to monitor at active volcanoes. The experiments presented here mark a first step toward integrating experimental, numerical, and observational approaches, to unravel the acoustic signatures of volcanic eruptions.

We investigate the influence of side-walls wetting effects on the linear stability of falling liquid films confined in the spanwise direction. Building upon our previous stability framework, which was developed to analyze the effect of spanwise confinement on the stability, we now incorporate wetting phenomena to develop a more comprehensive theoretical model. This extended model captures the interplay of gravity, inertia, surface tension, viscous dissipation, static meniscus, and moving contact lines. The base state exhibits two key features: a curved meniscus and a velocity overshoot near the side walls. A biglobal linear stability analysis is conducted based on the linearized Navier-Stokes equations. Unlike classical stability theory, our results reveal that surface tension, when strong, suppresses the long-wave instability ($k \rightarrow 0$), significantly increasing the critical Reynolds number as it increases. Notably, this effect is more pronounced for smaller contact angles. Moreover, stabilization is present across all wavenumbers at small Reynolds numbers, however, at large Reynolds numbers, the stabilization effect weakens, even for small contact angles. Furthermore, this stabilization is governed by the ratio of the capillary length to channel width, where complete stabilization occurs when this ratio exceeds a critical value dependent on the contact angle. We attribute this behavior to a capillary attenuation mechanism that dominates at smaller contact angles. No destabilization due to velocity overshoot was observed in the linear regime. Additionally, the introduction of wetting effects results in vortical structures in the vicinity of the side walls. These vortices dissipate the perturbation energy, thereby stabilizing the flow.

Three-dimensional schools of hydrodynamically axisymmetric swimmers self-propelling at a constant velocity are studied. We introduce a low-order model for the induced velocity based on the far-field approximation. We inquire if, by holding suitable relative positions in the three-dimensional space, the swimmers can reduce the overall energy consumption of the school in comparison with the same number of isolated individuals at the same velocity. We find a considerable (several per cent) energy saving achievable by chain formations. The benefit increases asymptotically with the number of individuals, towards a finite limit that is a function of the minimum allowed spacing between each pair of neighbours.

We study the influence of side walls on the stability of falling liquid films. We combine a temporal biglobal stability analysis based on the linearised Navier–Stokes equations with experiments measuring the spatial growth rate of sinusoidal waves flowing downstream an inclined channel. Very good agreement was found when comparing the theoretical and experimental results. Strong lateral confinement of the channel stabilises the flow. In the wavenumber-Reynolds number space, the instability region experiences a fragmentation due to selective damping of moderate wavenumbers. For this range of parameters, the three-dimensional confined problem shows several prominent stability modes which are classified into two categories, the well-known Kapitza hydrodynamic instability mode (H-mode) and a new unstable mode, we refer to it as wall-mode (W-mode). The two mode types are stabilised differently, where the H-modes are stabilised at small wavenumbers, while the W-modes experience stabilisation at high wavenumbers, and at sufficiently small channel widths, only the W-mode is observed. The reason behind the unique H-modes stabilisation is that they become analogous to waveguide modes, which can not propagate below a certain cut-off wavenumber. The spatial structure of the eigenmodes experiences significant restructuring at wavenumbers smaller than the most damped wavenumber. The mode switching preserves the spatial symmetry of the unstable mode.

Coherent structures in two-dimensional Navier–Stokes turbulence are ubiquitously observed in nature, experiments and numerical simulations. The present study conducts a comparison between several structure detection schemes based on the Okubo–Weiss criterion, the vorticity magnitude and Lagrangian coherent structures (LCSs), focusing on the inverse cascade in two-dimensional hydrodynamic turbulence. A recently introduced vortex scaling phenomenology (Burgess & Scott, J. Fluid Mech., vol. 811, 2017, pp. 742–756) allows the quantification of the respective thresholds required by these methods based on physical properties of the flow. The resulting improved comparability allows us to identify characteristic relative differences in the detection sensitivity between the employed structure detection techniques. With respect to the inverse cascade of energy, coherent structures contribute, as expected, substantially less to the cross-scale flux than the residual incoherent parts of the flow although the energetically dominant coherent structures lead to an important large-scale deformation of the energy spectrum. This cascade inactivity can be understood by an increased misalignment of strain-rate and subgrid stress tensors within coherent structures. At the same time, the structures exhibit strong and localised nonlinear cross-scale interactions that appear to stabilise them. We quantify and interpret the resulting shape preservation of coherent structures in terms of a multi-scale gradient approach (Eyink, J. Fluid Mech., vol. 549, 2006, pp. 191–214) as the depletion of strain rotation and vorticity gradient stretching whereas the dynamics of the residual fluctuations are consistent with the vortex thinning picture.

We study the influence of side walls on the stability of falling liquid films. We combine a temporal biglobal stability analysis based on the linearized Navier-Stokes equations with experiments measuring the spatial growth rate of sinusoidal waves flowing downstream an inclined channel. Very good agreement was found when comparing the theoretical and experimental results. Strong lateral confinement of the channel stabilises the flow. In the wavenumber-Reynolds number space, the instability region experiences a fragmentation due to selective damping of moderate wavenumbers. For this range of parameters, the three dimensional confined problem shows several prominent stability modes which are classified into two categories, the well known Kapitza hydrodynamic instability mode (H-mode), and a new unstable mode, we refer to it as wall-mode (W-mode). The two mode types are stabilised differently, where the H-modes are stabilized at small wavenumbers, while the W-modes experience stabilization at high wavenumbers, and at sufficiently small channel widths, only the W-mode is observed. The reason behind the unique H-modes stabilisation is that they become analogous to waveguide modes, which can not propagate below a certain cut-off wavenumber. The spatial structure of the eigenmodes experiences significant restructuring at wavenumbers smaller than the most damped wavenumber. The mode switching preserves the spatial symmetry of the unstable mode.

Explosive volcanic eruptions eject a mixture of gas and pyroclasts into the atmosphere at a range of velocities. Directly above the vent, in the gas-thrust region, a supersonic jet may be generated that strongly controls the eruptive dynamics. To improve our quantitative understanding of volcanic supersonic jets, the effect on particles within them, and their acoustic emission, we have performed small-scale explosive eruptions in the laboratory using a shock-tube. The shock-tube is composed of 3 parts, a bottom (5.6 m long, elevated pressure) and a top (48mm long, ambient pressure) plexiglass cylinder (5 mm inner diameter), separated by an electrovalve.We have run experiments using ambient air as gas and sand, with diameter between 0.1 and 0.3 mm, as particles. The gas volume was fixed while the pressure ratio (the shock-tube reservoir to ambient pressure ratio) was varied from about 4 to 8.4 to obtain supersonic flows. During the experiments, the jet was recorded with a high-speed camera operating at 34660 fps, and the resulting noise acoustic emission with microphones (6 Hz-140 kHz; 1000 kfps) positioned at 90° from the jet axis.Among the acoustic signals produced by a supersonic jet (jet noise) we have particularly focussed on the broad-band shock noise (BBSN) that is emitted by the interaction between shock cells and the turbulence in the jet. We estimated the jet velocity using an acoustic model based on the identification of the peak frequency of the BBSN. We also identified the BBSN frequency and its variation over time by applying the complex Morlet wavelet transformation. As expected, the BBSN frequency is inversely proportional to the gas velocity. Concerning the video recording, we analysed the shock cells behaviour and their temporal oscillation due to the presence of particles. Finally, the particle ejection rate was calculated in every video frame.We found that the acoustic signal and shock cells are influenced by the presence of particles. In fact, fluctuations in particle concentration are well visible and decelerate the flowing gas. As a consequence, there is a temporary decrease of the stand-off-distance between the vent and the first shock-cell and concurrent rise of the BBSN frequency. We noticed, in some cases, that the shock-cells disappear during a short time interval. The BBSN frequency and the stand-off-distance behaviour over time follow the oscillation of the particle ejection rate confirming their sensitivity to particle load variation.The future prospectives of this embryonal study could lead to new instruments for determining either the amount of pyroclasts inside the volcanic jets and their exit velocity on the basis of the recorded acoustic signals.