Interfacial wave dynamics of a drop with an embedded bubble

Bhattacharya, S.

doi:10.1103/physreve.93.023119

Cited by 8 publications

(5 citation statements)

References 30 publications

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“…The present study delves into the cavitation phenomenon induced by stretching (negative pressure) rather than boiling. When a cavity ruptures, it generates a series of shock waves (Wu, Xiang & Wang 2018), potentially influencing subsequent droplet deformation and breakup (Bhattacharya 2016), thereby possibly hastening equipment damage (Philipp & Lauterborn 1998;Kodama & Tomita 2000;Brujan et al 2002). According to classical nucleation theory (Debenedetti 1996), pure liquid water should withstand pressures exceeding −100 MPa (Caupin 2005;Azouzi et al 2013).…”

Section: Introductionmentioning

confidence: 99%

Exploration of shock–droplet interaction based on high-fidelity simulation and improved theoretical model

Xiong,

Shao,

Luo

2024

J. Fluid Mech.

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Shock–droplet interaction in the early stage involves intricate wave structures. Investigating this phenomenon is inherently challenging due to the fine spatial and temporal scales involved. Past research has suggested that the occurrence of cavitation, marked by a negative peak pressure, is linked to the focus of the reflected expansion wave. In this study, a high-fidelity compressible numerical approach is utilized to replicate the initial phase of shock–droplet interactions. The location of the negative peak pressure is meticulously documented and compared with experimental measurement and numerical results. Results indicate a strong alignment between the negative peak pressure positions identified through numerical simulations and the focal points identified in theoretical models for low gas–liquid wave velocity ratios. However, this alignment is notably disrupted when dealing with higher gas–liquid wave velocity ratios. Further enhancements are made to the theoretical model, enabling a more precise depiction of internal wave structures and focus points, particularly under conditions of high gas–liquid wave velocity ratios. The study delves into the various factors influencing internal pressure fluctuations within the liquid droplet, categorizing them into four phases: the shock wave effect, relaxation effect, fluctuation effect, and expansion wave effect. Analysing the pressure decrease portion reveals that while the converging of the reflected expansion wave leads to a substantial pressure drop, it accounts for only a fraction of the total pressure variation. Consequently, any model predicting negative peak pressure positions must comprehensively consider all contributing factors.

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Section: Introductionmentioning

confidence: 99%

Exploration of shock–droplet interaction based on high-fidelity simulation and improved theoretical model

Xiong,

Shao,

Luo

2024

J. Fluid Mech.

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“…Partially wetting drops on a plane are typical examples of stability analysis of capillary surfaces and have continued to receive special attention in recent years (Bostwick & Steen 2014, 2016Chang et al 2015;Steen, Chang & Bostwick 2019;Montanero & Ponce-Torres 2020;Ding & Bostwick 2022a,b;McCraney et al 2022). Prior to performing static and dynamic stability analysis, in addition to the base state (i.e.…”

Section: Introductionmentioning

confidence: 99%

“…This spectral degeneracy can be broken by the external flow (Feng 1992), the drop rotation (Busse 1984) and the external fields (Feng & Beard 1991; Shi & Apfel 1995). The inclusion of an eccentric bubble in drops also eliminates the degeneracy (Sumanasekara & Bhattacharya 2017), while the concentric geometry ensures this degeneracy (Bhattacharya 2016). Interestingly, finite-amplitude oscillations and viscosity do not break the spectral degeneracy of spherical drops (Trinh, Zwern & Wang 1982; Tsamopoulos & Brown 1983; Wang, Anilkumar & Lee 1996).…”

Section: Introductionmentioning

confidence: 99%

Static and dynamic stability of pendant drops

Zhang

Zhou

2023

J. Fluid Mech.

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Despite the widespread occurrence of pendant drops in nature, there is still a lack of combined studies on their dynamic and static stability. This study focuses on the dynamic and static stability of elongated drops with either a free or pinned contact line on a plane. We first examine static stability for both axisymmetric and non-axisymmetric perturbations subject to volume or pressure constraints. The stability limits for volume and pressure disturbances (axisymmetric) correspond to the maximum volume and pressure of the drops, respectively. Drops with free contact lines are marginally stable to non-axisymmetric perturbations because of their horizontal translational invariance, whereas pinned drops are stable. The linear dynamic stability is then investigated numerically through a boundary element model, restricted to volume disturbances. Results show that when the stability limit is reached, the first zonal mode has a zero frequency, suggesting that the thresholds for static and dynamic stability are essentially equivalent. Furthermore, natural frequencies experience sharp changes as the stability limit is approached. Another zero frequency mode associated with the horizontal motion of the centre of mass is also revealed by the numerical results, reflecting the horizontal translational invariance of drops with free contact lines. Finally, the frequency spectrum modified by gravity is explored, resulting in the identification of five gravity-induced frequency shift patterns. The frequency shifts break the spectral degeneracy for hemispherical drops with free contact lines, leading to various spectral orderings according to polar and azimuthal wavenumbers.

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“…Another example is related to the fuel droplet in scramjet engines. Because cavity collapse in liquid leads to cavitation erosion and surface damage (Philipp & Lauterborn 1998;Kodama & Tomita 2000;Brujan et al 2002), it is believed that the evolution of the shocked gas cavity inside a droplet influences droplet deformation (Bhattacharya 2016). Recently, Xiang & Wang (2017) numerically investigated the interaction of a planar shock and a water column embedded with an air cavity.…”

Section: Introductionmentioning

confidence: 99%