Weakly viscoelastic film on a slippery slope

S Chattopadhyay, AS Desai, AK Gaonkar, AK Barua… - Physics of …, 2021 - pubs.aip.org
We study the stability of weakly viscoelastic film (Walter's B ″) flowing down under gravity
along a slippery inclined plane. The focus is to investigate the interaction of the bottom slip …

Wave dynamics of a viscoelastic liquid

A Samanta - International Journal of Engineering Science, 2023 - Elsevier
A falling film of a weakly viscoelastic liquid (Walters' liquid B′′) is studied in detail for low
to moderate values of the Reynolds number. A linear stability analysis within the framework …

Effect of imposed shear on the stability of a viscoelastic liquid flowing down a slippery plane

S Pal, A Samanta - Journal of Non-Newtonian Fluid Mechanics, 2022 - Elsevier
We investigate a linear stability analysis for the Oldroyd-B liquid draining down a slippery
inclined plane where a constant shear stress is applied at the liquid surface in the …

Stability of a thin viscoelastic film falling down an inclined plane

T Hu, Q Fu, Y Xing, L Yang, L Xie - Physical Review Fluids, 2021 - APS
The stability of a thin viscoelastic film of Oldroyd-B fluid falling down an incline is
investigated. In the weak viscoelasticity limit, a reduced model is derived using the weighted …

A new model for shallow viscoelastic fluids

F Bouchut, S Boyaval - … Models and Methods in Applied Sciences, 2013 - World Scientific
We propose a new reduced model for gravity-driven free-surface flows of shallow
viscoelastic fluids. It is obtained by an asymptotic expansion of the upper-convected Maxwell …

Viscoelastic film flows over an inclined substrate with sinusoidal topography. II. Linear stability analysis

D Pettas, G Karapetsas, Y Dimakopoulos… - Physical Review …, 2019 - APS
The linear hydrodynamic stability of a film of viscoelastic fluid flowing down an inclined wavy
surface is studied. We investigate the stability of the flow with respect to infinitesimal two-and …

Weakly viscoelastic film flowing down a rotating inclined plane

S Chattopadhyay, A Mukhopadhyay - Physics of Fluids, 2022 - pubs.aip.org
We investigate the nonlinear stability of a thin viscoelastic film flowing under the effects of
gravity and Coriolis and centrifugal forces. We assume that the viscoelastic liquid satisfies …

Linear instability in a thin viscoelastic liquid film on an inclined, non-uniformly heated wall

IMR Sadiq, R Usha - International journal of engineering science, 2005 - Elsevier
Linear instability analysis of a thin layer of viscoelastic fluid flowing down a non-uniformly
heated inclined plane is considered. The study is based on the assumption of constant …

Stability of thin viscoelastic films falling down wavy walls

LA Davalos-Orozco - Interfacial Phenomena and Heat Transfer, 2013 - dl.begellhouse.com
In this paper the nonlinear stability of viscoelastic thin films falling down a smoothly
deformed wall is investigated. The viscoelastic fluid satisfies the Oldroyd's nonlinear …

[HTML][HTML] Thermocapillary stability of a viscoelastic liquid film falling down above or below an inclined thick wall with slip

LA Dávalos-Orozco - Journal of the Taiwan Institute of Chemical Engineers, 2024 - Elsevier
Background: Thin viscoelastic liquid films falling down walls have been investigated
theoretically since many years ago due to their applications in coating and cooling of …