☆ 4.6 Article

Thermocapillary thin film flows on a slippery substrate with odd viscosity effects

PHYSICA D-NONLINEAR PHENOMENA (2023)

Related references

Note: Only part of the references are listed.

Review Physics, Condensed Matter

Odd Viscosity and Odd Elasticity

Michel Fruchart et al.

Summary: Elasticity refers to a material's ability to store energy, while viscosity refers to its tendency to dissipate energy. However, there are fluids and solids that display additional linear response coefficients known as odd viscosity and odd elasticity. This review discusses the continuum perspective of odd viscosity and odd elasticity, their rich phenomenology, and various systems that exhibit them. Additionally, it comments on the microscopic mechanisms underlying their emergence.

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS (2023)

Add to Collection

Article Physics, Fluids & Plasmas

Role of odd viscosity on falling films over compliant substrates

Souradip Chattopadhyay et al.

Summary: We investigate the behavior of a thin liquid film flowing over a thin compliant substrate. Breaking the time-reversal symmetry introduces significant effects of the odd component of the Cauchy stress tensor, which have not been explored before. By employing the long-wave theory, we derive equations that couple the film's thickness and the compliant substrate, including considerations of inertia, damping effects, wall tension, and odd viscosity. Our linear stability analysis reveals that the compliant substrate destabilizes the system, while the odd viscosity significantly stabilizes it. Additionally, we employ a weakly nonlinear approach and derive the Kuramoto-Sivashinsky equation from the coupled long-wave equations. Remarkably, incorporating the odd viscosity tensor component can prevent chaotic behavior in compliant substrates under the weakly nonlinear limit. Numerical simulations demonstrate remarkable effects of odd viscosity on substrate deflection, and our numerical investigation of the coupled long-wave equations confirms the consistency of the linear and weakly nonlinear theories with the numerical results.

PHYSICAL REVIEW FLUIDS (2023)

Add to Collection

Article Mechanics

Shear imposed falling film with odd viscosity effects

Akshay S. Desai et al.

Summary: This study investigates the behavior of a thin liquid film flowing on an inclined plane under imposed shear stress. The breaking of the liquid's time-reversal symmetry is considered, and the odd part of the viscosity is used to describe the Navier-Stokes equation. A weighted residual model (WRM) is developed to study the interaction between the imposed shear and odd viscosity on flow dynamics. Through linear stability analysis, the critical Reynolds number (Rec) of the model is determined. The findings show that uphill shear stabilizes the flow, while downhill shear increases the instability, although mitigated by the presence of odd viscosity. An Orr-Sommerfeld (OS) type eigenvalue problem is also constructed for normal mode analysis, leading to the discovery of ReWRM = ReOS c in the longwave regime. The numerical simulations of the model align well with the linear stability analysis.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2023)

Add to Collection

Article Mechanics

Effect of odd-viscosity on the dynamics and stability of a thin liquid film flowing down on a vertical moving plate

Souradip Chattopadhyay et al.

Summary: This study focuses on the hydrodynamic instability of a thin liquid film with odd viscosity flowing down along a vertical moving plate. The results show that odd viscosity has an effect on the stability of the film flow.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2022)

Add to Collection

Article Mechanics

Role of odd viscosity in falling viscous fluid

Arghya Samanta

Summary: The aim of this study was to investigate the linear and nonlinear wave dynamics of a falling incompressible viscous fluid with the effect of odd viscosity. The study found that the odd viscosity coefficient can weaken surface and shear instabilities, as well as reduce the growth rate of the linear spatio-temporal response. Additionally, a nonlinear travelling wave solution of a two-equation model showed the attenuation of maximum amplitude and speed in the presence of an odd viscosity coefficient. This delayed the transition from a primary parallel flow with a flat surface to secondary flow generated through nonlinear wave interactions.

JOURNAL OF FLUID MECHANICS (2022)

Add to Collection

Article Mechanics

Long-wave instabilities of evaporating/condensing viscous film flowing down a wavy inclined wall: Interfacial phase change effect of uniform layers

Sanghasri Mukhopadhyay et al.

Summary: The interfacial phase change effect on a thin film flowing down an undulated wall has been investigated. The study reveals that the bottom steepness has a dual role in the stability of the film, increasing destabilizes in the downhill region, while increasing the bottom steepness stabilizes in the uphill region. It is also found that one subcritical region exists for evaporating film, while two subcritical unstable regions are found for condensate film. The rupture dynamics of the film are minimally affected by the bottom steepness, while the Kutateladze number significantly impacts the stability characteristic of the film flow.

PHYSICS OF FLUIDS (2022)

Add to Collection

Article Mechanics

Falling liquid films on a slippery substrate with variable fluid properties

Souradip Chattopadhyay et al.

Summary: We investigated the stability of a thin Newtonian liquid flowing on a heated slippery inclined plane. By constructing a mathematical model and conducting linear and nonlinear analyses, we concluded that the slippery substrate destabilizes the flow. Our numerical simulation results supported the analytical predictions and further examined the influence of small Biot numbers considering slip length and variable fluid properties.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2022)

Add to Collection

Article Physics, Fluids & Plasmas

Dynamics and stability of weakly viscoelastic film flowing down a uniformly heated slippery incline

Souradip Chattopadhya et al.

Summary: This study investigates the stability of a thin viscoelastic fluid draining down a uniformly heated slippery inclined plane. The effects of different factors on flow stability are analyzed using a theoretical model, linear stability analysis, and numerical simulations.

PHYSICAL REVIEW FLUIDS (2022)

Add to Collection

Article Physics, Fluids & Plasmas

Linear stability of a falling film over a heated slippery plane

Arnab Choudhury et al.

Summary: This study conducts a detailed parametric study on the linear stability analysis of a three-dimensional thin liquid film flowing down a uniformly heated slippery inclined plane. The study reveals the characteristics of different modes of instability and identifies the factors that affect the occurrence and development of instability, such as wall slip and Marangoni number.

PHYSICAL REVIEW E (2022)

Add to Collection

Article Mechanics

Effect of odd viscosity on the stability of a falling thin film in presence of electromagnetic field

Juanxia Zhao et al.

Summary: In the presence of an electromagnetic field, the stability of a conductive thin liquid film flowing on a non-conductive inclined plate was studied, considering the effect of odd viscosity. The study revealed that odd viscosity and magnetic field stabilize the flow, while the electric field destabilizes it. Additionally, higher odd viscosity leads to a higher critical Reynolds number, and the stable region decreases while the unstable region remains almost unchanged as odd viscosity increases.

FLUID DYNAMICS RESEARCH (2021)

Add to Collection

Article Engineering, Multidisciplinary

Thermocapillary instability in the presence of uniform normal electric field: effect of odd viscosity

Souradip Chattopadhyay

Summary: The study examines the stability and dynamics of a gravity-driven, viscous, Newtonian, thin liquid film with broken time-reversal symmetry draining down a nonuniformly heated inclined plane in the presence of a uniform normal electric field within the finite-amplitude regime. It is found that odd viscosity and electric field have different effects on flow dynamics, with odd viscosity providing stability while the electric field has a destabilizing tendency. Additionally, it is observed that thermocapillarity promotes instability in the flow.

JOURNAL OF ENGINEERING MATHEMATICS (2021)

Add to Collection

Article Mechanics

Weakly viscoelastic film on a slippery slope

Souradip Chattopadhyay et al.

Summary: The study focuses on the stability of weakly viscoelastic film flowing down a slippery inclined plane, examining the interaction of bottom slip with viscoelastic parameters and other flow parameters. Two different methods were used to analyze the critical Reynolds numbers of the system, with the result indicating that in some cases, for small slip lengths, the first-order weighted residual method is more accurate in predicting instability thresholds than the first-order Benney equation model.

PHYSICS OF FLUIDS (2021)

Add to Collection

Article Mechanics

Hydrodynamic instability and wave formation of a viscous film flowing down a slippery inclined substrate: Effect of odd-viscosity

Sanghasri Mukhopadhyay et al.

Summary: This study discusses the hydrodynamic instability and wave formation of a thin viscous film flowing down a slippery inclined substrate with broken time-reversal-symmetry. Numerical calculations reveal that odd-viscosity stabilizes the film flow, while slip on the substrate has a destabilizing effect.

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS (2021)

Add to Collection

Article Mechanics

Thermocapillary instability on a film falling down a non-uniformly heated slippery incline

Souradip Chattopadhyay et al.

Summary: The study investigates the behavior of gravity-driven thin liquid films on a non-uniformly heated and slippery inclined plane, finding that the slip length and Marangoni number have significant effects on the flow instability, especially causing instability at critical conditions. The study also reveals the phenomenon of Hopf bifurcation of fixed points, determining that the nonlinear wave speed changes with the increase of slip length and the decrease of Marangoni number at transcritical points.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2021)

Add to Collection

Article Mechanics

Odd-viscosity-induced instability of a thin film with variable density

Souradip Chattopadhyay

Summary: This study discusses the stability of a two-dimensional Newtonian fluid flowing down an inclined plane under heating, as well as the coupled effects of odd viscosity, variable density, and surface tension. Critical conditions and detailed results are obtained through different methods, providing insights into the behavior of the fluid flow and the effects of various parameters.

PHYSICS OF FLUIDS (2021)

Add to Collection

Article Physics, Fluids & Plasmas

Odd-viscosity-induced instability of a falling thin film with an external electric field

Gaowa Bao et al.

Summary: This study investigates the influence of odd viscosity and external electric field on the instability of thin film flowing along an inclined plane under a normal electric field. It provides an analytical expression for the critical Reynolds number and reveals different stability zones for the film based on parameters like electric field strength, odd viscosity, and Reynolds number. The results have implications for further experimental development in this area.

PHYSICAL REVIEW E (2021)

Add to Collection

Article Engineering, Mechanical

Stability of thin film flowing down the outer surface of a rotating non-uniformly heated vertical cylinder

Anandamoy Mukhopadhyay et al.

NONLINEAR DYNAMICS (2020)

Add to Collection

Article Mechanics

Dynamics of thin liquid films on vertical cylindrical fibres

H. Ji et al.

JOURNAL OF FLUID MECHANICS (2019)

Add to Collection

Article Mechanics

Stability of thin liquid film flowing down a rotating horizontal or inclined plane by momentum-integral method

Anandamoy Mukhopadhyay et al.

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS (2019)

Add to Collection

Article Multidisciplinary Sciences

Water vapor capturing using an array of traveling liquid beads for desalination and water treatment

A. Sadeghpour et al.

SCIENCE ADVANCES (2019)

Add to Collection

Article Mechanics

Relative periodic solutions in conducting liquid films flowing down vertical fibres

Zijing Ding et al.

JOURNAL OF FLUID MECHANICS (2019)

Add to Collection

Article Mechanics

Odd-viscosity-induced stabilization of viscous thin liquid films

E. Kirkinis et al.

JOURNAL OF FLUID MECHANICS (2019)

Add to Collection

Article Mechanics

Dynamics and stability of a power-law film flowing down a slippery slope

Symphony Chakraborty et al.

PHYSICS OF FLUIDS (2019)

Add to Collection

Article Mechanics

Long wave instability of thin film flowing down an inclined plane with linear variation of thermophysical properties for very small Biot number

Anandamoy Mukhopadhyay et al.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2018)

Add to Collection

Article Multidisciplinary Sciences

Odd viscosity in chiral active fluids

Debarghya Banerjee et al.

NATURE COMMUNICATIONS (2017)

Add to Collection

Article Physics, Fluids & Plasmas

Odd viscosity in two-dimensional incompressible fluids

Sriram Ganeshan et al.

PHYSICAL REVIEW FLUIDS (2017)

Add to Collection

Article Thermodynamics

Falling liquid films on a slippery substrate with Marangoni effects

Zijing Ding et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2015)

Add to Collection

Article Physics, Fluids & Plasmas

Swimming at low Reynolds number in fluids with odd, or Hall, viscosity

Matthew F. Lapa et al.

PHYSICAL REVIEW E (2014)

Add to Collection

Article Mechanics

The effects of variable fluid properties on thin film stability

S. J. D. D'Alessio et al.

PHYSICS OF FLUIDS (2014)

Add to Collection

Article Mechanics

A falling film down a slippery inclined plane

A. Samanta et al.

JOURNAL OF FLUID MECHANICS (2011)

Add to Collection

Review Mechanics

Slip on Superhydrophobic Surfaces

Jonathan P. Rothstein

ANNUAL REVIEW OF FLUID MECHANICS (2010)

Add to Collection

Article Engineering, Chemical

Instabilities in a liquid film flow over an inclined heated porous substrate

I. Mohammed Rizwan Sadiq et al.

CHEMICAL ENGINEERING SCIENCE (2010)

Add to Collection

Article Materials Science, Multidisciplinary

Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p(x)+ip(y) paired superfluids

N. Read

PHYSICAL REVIEW B (2009)

Add to Collection

Review Physics, Multidisciplinary

Dynamics and stability of thin liquid films

R. V. Craster et al.

REVIEWS OF MODERN PHYSICS (2009)

Add to Collection

Review Physics, Multidisciplinary

Wetting and spreading

Daniel Bonn et al.

REVIEWS OF MODERN PHYSICS (2009)

Add to Collection

Review Engineering, Chemical

Review of fluid slip over superhydrophobic surfaces and its dependence on the contact angle

Roman S. Voronov et al.

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH (2008)

Add to Collection

Article Mechanics

Thin Newtonian film flow down a porous inclined plane: Stability analysis

I. Mohammed Rizwan Sadiq et al.

PHYSICS OF FLUIDS (2008)

Add to Collection

Article Mechanics

Heated falling films

P. M. J. Trevelyan et al.

JOURNAL OF FLUID MECHANICS (2007)

Add to Collection

Article Physics, Fluids & Plasmas

Falling films on flexible inclines

O. K. Matar et al.

PHYSICAL REVIEW E (2007)

Add to Collection

Article Physics, Multidisciplinary

Absolute and convective instabilities of a viscous film flowing down a vertical fiber

C. Duprat et al.

PHYSICAL REVIEW LETTERS (2007)

Add to Collection

Review Physics, Multidisciplinary

Boundary slip in Newtonian liquids: a review of experimental studies

C Neto et al.

REPORTS ON PROGRESS IN PHYSICS (2005)

Add to Collection

Article Engineering, Multidisciplinary

Lubrication models with small to large slip lengths

A Münch et al.

JOURNAL OF ENGINEERING MATHEMATICS (2005)

Add to Collection

Article Mechanics

Thermocapillary long waves in a liquid film flow. Part 1. Low-dimensional formulation

C Ruyer-Quil et al.

JOURNAL OF FLUID MECHANICS (2005)

Add to Collection

Article Mechanics

Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves

B Scheid et al.

JOURNAL OF FLUID MECHANICS (2005)

Add to Collection

Article Engineering, Multidisciplinary

Wave dynamics on a thin-liquid film falling down a heated wall

PMJ Trevelyan et al.

JOURNAL OF ENGINEERING MATHEMATICS (2004)

Add to Collection

Article Engineering, Multidisciplinary

Subcritical and supercritical bifurcations of the first- and second-order Benney equations

A Oron et al.

JOURNAL OF ENGINEERING MATHEMATICS (2004)

Add to Collection

Article Mechanics

Thermocapillary instability and wave formation on a film falling down a uniformly heated plane

S Kalliadasis et al.

JOURNAL OF FLUID MECHANICS (2003)

Add to Collection

Article Mechanics

Marangoni instability of a thin liquid film heated from below by a local heat source

S Kalliadasis et al.

JOURNAL OF FLUID MECHANICS (2003)

Add to Collection

Article Mechanics

Further accuracy and convergence results on the modeling of flows down inclined planes by weighted-residual approximations

C Ruyer-Quil et al.

PHYSICS OF FLUIDS (2002)

Add to Collection

Article Physics, Condensed Matter

Improved modeling of flows down inclined planes

C Ruyer-Quil et al.

EUROPEAN PHYSICAL JOURNAL B (2000)

Add to Collection

© Peeref 2019-2024. All rights reserved.