Effect of porous layer on the Faraday instability in viscous liquid

Samanta, Arghya

doi:10.1098/rspa.2020.0208

Cited by 6 publications

(3 citation statements)

References 30 publications

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“…Using the Chebyshev spectral collocation method (Schmid & Henningson 2001), the time-dependent OS BVP is first recast into a matrix differential equation with time-periodic coefficients (Or 1997; Or & Kelly 1998; Samanta 2017, 2019), where is a column matrix, and , , and are square matrices, being the number of Chebyshev modes. Next, the matrix equation (4.1) is solved based on Floquet theory (Or 1997; Samanta 2017, 2020 a ). Thereby, the time-dependent function is expanded in a truncated complex Fourier series from to as follows: where are constant-coefficient column vectors, is the complex Floquet exponent, and and are integers.…”

Section: Methodsmentioning

confidence: 99%

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

Samanta

2021

J. Fluid Mech.

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Section: Methodsmentioning

confidence: 99%

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

Samanta

2021

J. Fluid Mech.

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“…Mahr and Rehberg found that parametrically driven surface waves in ferrofluids can be excited by an external oscillating magnetic field, and the static magnetic field changes the restoring force and damping coefficients of various surface waves [48]. Samanta performed Faraday instability experiments on viscous liquids on the plane of the porous layer, and found that the critical amplitude for Faraday instability decreases with increasing permeability values, and the presence of the porous layer leads to a faster transition process from subharmonic instability to harmonic instability in the wavenumber regime [49]. In addition, the conditions under which Faraday instability of the surfactant-coated liquid layer occurs were investigated [50,51].…”

Section: Introductionmentioning

confidence: 99%

Faraday Instability in Viscous Fluids Covered with Elastic Polymer Films

Liu

Song

et al. 2022

Polymers

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Faraday instability has great application value in the fields of controlling polymer processing, micromolding colloidal lattices on structured suspensions, organizing particle layers, and conducting cell culture. To regulate Faraday instability, in this article, we attempt to introduce an elastic polymer film covering the surface of a viscous fluid layer and theoretically study the behaviors of the Faraday instability phenomenon and the effect of the elastic polymer film. Based on hydrodynamic theory, the Floquet theory is utilized to formulate its stability criterion, and the critical acceleration amplitude and critical wave number are calculated numerically. The results show that the critical acceleration amplitude for Faraday instability increases with three increasing bending stiffness of the elastic polymer film, and the critical wave number decreases with increasing bending stiffness. In addition, surface tension and viscosity also have important effects on the critical acceleration amplitude and critical wave number. The strategy of controlling Faraday instability by covering an elastic polymer film proposed in this paper has great application potential in new photonic devices, metamaterials, alternative energy, biology, and other fields.

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“….Next, we retrieve the solution of the three-dimensional linearized equations (3.2)-(3.11) in the normal mode form[27,28] …”

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Modal analysis of a viscous fluid falling over a compliantwall

Samanta

2021

Proc. R. Soc. A.

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We study the modal instability of a three-dimensional Newtonian viscous fluid falling over a compliant wall under the framework of coupled evolution equations for normal velocity and normal vorticity, respectively. The Chebyshev spectral collocation numerical technique is applied in exploring unstable modes for the three-dimensional disturbances. The unstable zones pertaining to surface mode, wall mode and shear mode reduce as long as the spanwise wavenumber amplifies and corroborates the stabilizing influence of spanwise wavenumber. However, the onset of instability for the wall mode decays as long as the capillary number amplifies and ensures the destabilizing influence of the capillary number. Furthermore, the critical Reynolds number corresponding to surface mode found in the long-wave zone shifts towards the finite wavelength zone with increasing spanwise wavenumber and confirms the extinction of long-wave instability. But the inertialess instability created due to the wall mode disappears with increasing spanwise wavenumber. Moreover, the shear mode emerges in the high Reynolds number zone and is stabilized in the presence of spanwise wavenumber. In addition, the analytical derivation of Squire’s theorem is provided in appendix B for the flow over a compliant wall.

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Effect of porous layer on the Faraday instability in viscous liquid

Cited by 6 publications

References 30 publications

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

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

Faraday Instability in Viscous Fluids Covered with Elastic Polymer Films

Modal analysis of a viscous fluid falling over a compliantwall

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