Instability of a shear-imposed flow down a vibrating inclined plane

Samanta, Arghya

doi:10.1017/jfm.2021.116

Cited by 11 publications

(9 citation statements)

References 50 publications

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“…At the fluid surface, , transport of insoluble surfactant induces a Marangoni stress, which is balanced by the hydrodynamic stress of the mainstream fluid. This fact yields the following tangential and normal stresses dynamic boundary conditions for the shear-imposed surfactant-laden fluid flowing down a compliant inclined plane (Blyth & Pozrikidis 2004; Wei 2005; Samanta 2014 a , b ; Bhat & Samanta 2018, 2019; Samanta 2021) where is the ambient pressure, and is the surface tension of the mainstream fluid, which alters linearly with the surfactant concentration by the following relation: where is the constant base surface tension when surfactant concentration keeps its constant base value . It should be useful to mention here that surface elasticity, , is positive because the surface tension of the mainstream fluid reduces with an increasing value of surfactant concentration.…”

Section: Mathematical Formulationmentioning

confidence: 98%

“…A detailed study of linear stability analysis is carried out in the arbitrary wavenumber regime. The motivation is to understand the dynamics of interfacial wave for a liquid lining flow in a pulmonary airway occlusion process where airflow moves back and forth during breathing and exerts a shear stress on the air-liquid interface (Halpern & Grotberg 1993;Wei 2005;Samanta 2020b). In addition, the purpose is to investigate the interactions between flowing fluid and wall flexibility on the shear-induced Marangoni instability that generally occurs in pulmonary airways.…”

Section: Introductionmentioning

confidence: 99%

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Effect of surfactant on the linear stability of a shear-imposed fluid flowing down a compliant substrate

Samanta

2021

J. Fluid Mech.

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Section: Mathematical Formulationmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Effect of surfactant on the linear stability of a shear-imposed fluid flowing down a compliant substrate

Samanta

2021

J. Fluid Mech.

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“…To address this research gap, this paper introduces the slanting slit flow theory and divides the nonparallel channel into two parts: parallel plate and slanting plate [43,44]. Based on these two parts of the flow theory, an asymmetric theoretical model applicable to non-Newtonian fluids in non-parallel plates is developed using an analytical superposition method.…”

Section: Introductionmentioning

confidence: 99%

Theoretical switch model of novel asymmetric magnetorheological damper for shock and vibration application

Liang,

Fu,

et al. 2023

Smart Mater. Struct.

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This study proposed a novel asymmetric conical flow channel magnetorheological damper (CFC-MRD) for all-terrain vehicles (ATVs) to handle complex excitations with coexisting shocks and vibrations. CFC-MRD produces adjustable damping forces by utilizing magnetically controlled properties and achieves asymmetric force output (moderate compression force and strong extension force) with conical flow channels. This design could effectively absorb and dissipate energy. The paper first illustrates the structure and asymmetric principle of CFC-MRD. Then, the mechanism of asymmetric force generation in a non-parallel flat plate is derived, and utilizes the hydrodynamic theory to derive the pressure difference of Bingham fluid between the non-parallel plates. Considering the coexistence of vibration and shock, the study proposes a theoretical switch model that distinguishes between low and high velocity states based on the Reynolds number. Finally, the validity of the model is verified by experiments, and the results show that the CFC-MRD achieves the desired asymmetric force output. The asymmetric force ratio rises with higher excitation speed and drops with increased drive current. At a speed of 1 m s−1 without any applied current, the maximum asymmetric force reaches 1.21. The small peak error, averaging only 2.57%, between experimental and theoretical results affirms the accuracy of the proposed switch model.

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“…It is assumed that the time scale of the flow evolution is much larger than the period of substrate oscillation, and it is reported that all periodic and solitary-wave solutions are unstable, regardless of their parameters. For an inclined vibrating plane, the linear stability of a shear-imposed viscous flow is deciphered for disturbances of arbitrary wavenumbers to investigate the effect of imposed shear stress on Faraday instability (Samanta 2021).…”

Section: Introductionmentioning

confidence: 99%

Instability of a viscoelastic film with insoluble surfactants on an oscillating plane

Wang,

Du,

Xiao

et al. 2023

J. Fluid Mech.

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The linear instability of viscoelastic film with insoluble surfactants on an oscillating plane for disturbances with arbitrary wavenumbers is investigated. The combined effects of viscoelastic and insoluble surfactants on the instability are described using Floquet theory. For long-wavelength instability, the solution in the limit of long wave perturbations is obtained by the asymptotic expansion method. The results show that the presence of viscoelastic film shifts the stability boundaries to the low-frequency region in the absence of gravity when the imposed frequency is less than 6. The U-shaped neutral curves with separation bandwidth appear in the presence of gravity. The finite-wavelength instability is solved numerically based on the Chebyshev spectral collocation method. Different from the previous results, a new branch point with special structure of a neutral curve is detected for clean-surface film. Results show that the presence of the surfactants will decrease the unstable frequency bandwidth and increase the critical Reynolds number. Both the travelling-wave mode and standing-wave mode are found due to the existence of surface surfactants. For high-frequency oscillation, the viscoelastic parameter may significantly destabilize the flow and the instability is determined by the finite-wavelength mode over a relatively large frequency range.

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Instability of a shear-imposed flow down a vibrating inclined plane

Abstract: Abstract

Cited by 11 publications

References 50 publications

Effect of surfactant on the linear stability of a shear-imposed fluid flowing down a compliant substrate

Effect of surfactant on the linear stability of a shear-imposed fluid flowing down a compliant substrate

Theoretical switch model of novel asymmetric magnetorheological damper for shock and vibration application

Instability of a viscoelastic film with insoluble surfactants on an oscillating plane

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