The present article contributes detailed experimental results on the linear stability of gravity-driven viscous films flowing down periodically corrugated inclines. We asymptotically left the well-known Nusselt flow by gradually increasing the topography’s amplitude. Systematic variations of the channel’s inclination and the fluid’s viscosity followed. That way, we revealed non-trivial stability charts and phenomena far beyond the limits of the Nusselt regime. For the sake of understanding these phenomena, we thoroughly measured the steady-state free surfaces and velocity fields of the respective flows. This comprehensive approach provided us with the exceptional opportunity to unveil that the complex shape, which stability charts of film flows over strongly corrugated inclines exhibit, can be attributed to the simultaneous presence of stabilizing as well as destabilizing effects provoked by the topography. We proved that the stabilization of the flow due to an increased film thickness and the destabilization of the flow due to resonant standing waves are competing effects. Which one dominates in this competition depends on the amplitude and inclination of the substrate and on the viscosity of the fluid.
Skip Nav Destination
Article navigation
February 2016
Research Article|
February 02 2016
Stability phenomena far beyond the Nusselt flow – Revealed by experimental asymptotics
Mario Schörner
;
Mario Schörner
Department of Applied Mechanics and Fluid Dynamics,
University of Bayreuth
, D-95440 Bayreuth, Germany
Search for other works by this author on:
Daniel Reck;
Daniel Reck
Department of Applied Mechanics and Fluid Dynamics,
University of Bayreuth
, D-95440 Bayreuth, Germany
Search for other works by this author on:
Nuri Aksel
Nuri Aksel
Department of Applied Mechanics and Fluid Dynamics,
University of Bayreuth
, D-95440 Bayreuth, Germany
Search for other works by this author on:
Physics of Fluids 28, 022102 (2016)
Article history
Received:
November 13 2015
Accepted:
January 18 2016
Citation
Mario Schörner, Daniel Reck, Nuri Aksel; Stability phenomena far beyond the Nusselt flow – Revealed by experimental asymptotics. Physics of Fluids 1 February 2016; 28 (2): 022102. https://doi.org/10.1063/1.4941000
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
On Oreology, the fracture and flow of “milk's favorite cookie®”
Crystal E. Owens, Max R. Fan (范瑞), et al.
Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations
Hamidreza Eivazi, Mojtaba Tahani, et al.
Chinese Academy of Science Journal Ranking System (2015–2023)
Cruz Y. Li (李雨桐), 李雨桐, et al.
Related Content
Crucial flow stabilization and multiple instability branches of gravity-driven films over topography
Physics of Fluids (February 2013)
Does the topography’s specific shape matter in general for the stability of film flows?
Physics of Fluids (April 2015)
Experimental study on the evolution of traveling waves over an undulated incline
Physics of Fluids (October 2013)
Massive stabilization of gravity-driven film flows with corrugated side walls
Physics of Fluids (November 2018)
Relationship between Nusselt number and the thermoviscous (Rott) functions
J. Acoust. Soc. Am. (March 2006)