A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generation

One of the key aspects of studying Rayleigh-Plateau instability and laminar jet breakup is identifying the optimal disturbance wavelength. By inducing artificial disturbances with an optimal frequency or wavelength in a laminar jet, uniformly sized droplets can be produced. Most existing methods for...

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Main Authors: Sepehr Mousavi, Majid Siavashi
Format: Article
Language:English
Published: Elsevier 2025-07-01
Series:Results in Physics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2211379725001998
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author Sepehr Mousavi
Majid Siavashi
author_facet Sepehr Mousavi
Majid Siavashi
author_sort Sepehr Mousavi
collection DOAJ
description One of the key aspects of studying Rayleigh-Plateau instability and laminar jet breakup is identifying the optimal disturbance wavelength. By inducing artificial disturbances with an optimal frequency or wavelength in a laminar jet, uniformly sized droplets can be produced. Most existing methods for calculating the optimal wavelength in Rayleigh-Plateau instability rely on analytical approaches with significant simplifications, leading to various limitations. The main goal of this study is to develop an effective numerical method to identify the optimal frequency in Rayleigh-Plateau instability. First, the numerical results are validated with experimental data. Then, a systematic method for calculating the optimal frequency using simulated data and the discrete Fourier transform (DFT) is proposed. This method serves as an alternative to common trial-and-error methods and inaccurate analytical approaches, providing a low-cost and highly accurate prediction of the optimal frequency. This method is applied to determine the optimal frequency for different flow conditions (WeberWe=6;0.013≤Ohnesorge(Oh)<0.219). Finally, the impact of two parameters, including the inner to outer diameter ratio (b=DI/DO) and the contact angle, on the optimal frequency is examined. The results show that increasing b can increase the optimal frequency by up to 70 %. Additionally, increasing the contact angle from 30° to 120° raises the optimal frequency from 160Hz to 192Hz while Oh=0.013 and b=0.56.
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spelling doaj-art-a4e0ff0bcb3f4e33a41e09cdb49690ee2025-08-20T02:29:42ZengElsevierResults in Physics2211-37972025-07-017410830510.1016/j.rinp.2025.108305A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generationSepehr Mousavi0Majid Siavashi1Applied Multi-Phase Fluid Dynamics Laboratory, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, IranCorresponding author at: School of Mechanical Engineering, Iran University of Science and Technology, Heydarkhani St., Narmak, Tehran 1684613114, Iran.; Applied Multi-Phase Fluid Dynamics Laboratory, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, IranOne of the key aspects of studying Rayleigh-Plateau instability and laminar jet breakup is identifying the optimal disturbance wavelength. By inducing artificial disturbances with an optimal frequency or wavelength in a laminar jet, uniformly sized droplets can be produced. Most existing methods for calculating the optimal wavelength in Rayleigh-Plateau instability rely on analytical approaches with significant simplifications, leading to various limitations. The main goal of this study is to develop an effective numerical method to identify the optimal frequency in Rayleigh-Plateau instability. First, the numerical results are validated with experimental data. Then, a systematic method for calculating the optimal frequency using simulated data and the discrete Fourier transform (DFT) is proposed. This method serves as an alternative to common trial-and-error methods and inaccurate analytical approaches, providing a low-cost and highly accurate prediction of the optimal frequency. This method is applied to determine the optimal frequency for different flow conditions (WeberWe=6;0.013≤Ohnesorge(Oh)<0.219). Finally, the impact of two parameters, including the inner to outer diameter ratio (b=DI/DO) and the contact angle, on the optimal frequency is examined. The results show that increasing b can increase the optimal frequency by up to 70 %. Additionally, increasing the contact angle from 30° to 120° raises the optimal frequency from 160Hz to 192Hz while Oh=0.013 and b=0.56.http://www.sciencedirect.com/science/article/pii/S2211379725001998Rayleigh-Plateau instabilityDropletCapillary breakupDiscrete Fourier Transform (DFT)Contact angle
spellingShingle Sepehr Mousavi
Majid Siavashi
A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generation
Results in Physics
Rayleigh-Plateau instability
Droplet
Capillary breakup
Discrete Fourier Transform (DFT)
Contact angle
title A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generation
title_full A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generation
title_fullStr A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generation
title_full_unstemmed A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generation
title_short A novel numerical approach to find the optimal frequency of Rayleigh–Plateau instability in laminar jet breakup for uniform droplet generation
title_sort novel numerical approach to find the optimal frequency of rayleigh plateau instability in laminar jet breakup for uniform droplet generation
topic Rayleigh-Plateau instability
Droplet
Capillary breakup
Discrete Fourier Transform (DFT)
Contact angle
url http://www.sciencedirect.com/science/article/pii/S2211379725001998
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