scholarly journals A Review on Hydrodynamical Stability of Thin Film Flowing Along an Inclined Plane

2019 ◽  
Vol 2 (2) ◽  
pp. 133-142
Author(s):  
Souradip Chattopadhyay ◽  
Anandamoy Mukhopadhyay ◽  
Amlan Barua
Keyword(s):  
Thin Film ◽  
Inclined Plane ◽  
Hydrodynamical Stability

scholarly journals Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane

2016 ◽  
Vol 325 ◽  
pp. 86-97 ◽  
Author(s):  
M. Sivapuratharasu ◽  
S. Hibberd ◽  
M.E. Hubbard ◽  
H. Power
Keyword(s):  
Thin Film ◽  
Inertial Effects ◽  
Inclined Plane ◽  
Surface Shear

scholarly journals Experimental study of gravitation effects in the flow of a particle-laden thin film on an inclined plane

2009 ◽  
Vol 21 (8) ◽  
pp. 083305 ◽  
Author(s):  
Thomas Ward ◽  
Chi Wey ◽  
Robert Glidden ◽  
A. E. Hosoi ◽  
A. L. Bertozzi
Keyword(s):  
Thin Film ◽  
Experimental Study ◽  
Inclined Plane

Nonlinear instability of a contact line driven by gravity

2000 ◽  
Vol 413 ◽  
pp. 355-378 ◽  
Author(s):  
SERAFIM KALLIADASIS
Keyword(s):  
Thin Film ◽  
Differential Equation ◽  
Partial Differential Equation ◽  
Dynamical Systems ◽  
Contact Line ◽  
Nonlinear Instability ◽  
Inclined Plane ◽  
Translational Invariance ◽  
Weakly Nonlinear ◽  
Fingering Instability

A thin liquid mass of fixed volume spreading under the action of gravity on an inclined plane develops a fingering instability at the front. In this study we consider the motion of a viscous sheet down a pre-wetted plane with a large inclination angle. We demonstrate that the instability is a phase instability associated with the translational invariance of the system in the direction of flow and we analyse the weakly nonlinear regime of the instability by utilizing methods from dynamical systems theory. It is shown that the evolution of the fingers is governed by a Kuramoto–Sivashinsky-type partial differential equation with solution a saw-tooth pattern when the inclined plane is pre-wetted with a thin film, while the presence of a thick film suppresses fingering.

Three-dimensional thin film flow over and around an obstacle on an inclined plane

2009 ◽  
Vol 21 (3) ◽  
pp. 032102 ◽  
Author(s):  
S. J. Baxter ◽  
H. Power ◽  
K. A. Cliffe ◽  
S. Hibberd
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Three Dimensional ◽  
Thin Film Flow ◽  
Inclined Plane
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