Thin-film evolution and fingering instability of self-rewetting films flowing down an inclined plane

2021 ◽  
Vol 33 (2) ◽  
pp. 022101
Author(s):  
Chicheng Ma ◽  
Jianlin Liu
Keyword(s):  
Thin Film ◽  
Inclined Plane ◽  
Fingering Instability

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.

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

NUMERICAL ANALYSIS OF HYDROMAGNETIC GRAVITY-DRIVEN THIN FILM MICROPOLAR FLOW ALONG AN INCLINED PLANE

2010 ◽  
Vol 198 (3) ◽  
pp. 312-331 ◽  
Author(s):  
O. Anwar Bég ◽  
J. Zueco ◽  
T. B. Chang
Keyword(s):  
Thin Film ◽  
Numerical Analysis ◽  
Inclined Plane ◽  
Gravity Driven

Exact solutions for thin film flows of a PTT fluid down an inclined plane and on a vertically moving belt

2013 ◽  
Vol 7 ◽  
pp. 65-87 ◽  
Author(s):  
A. M. Siddiqui ◽  
A. Ashraf ◽  
Q. A. Azim ◽  
B. S. Babcock
Keyword(s):  
Thin Film ◽  
Exact Solutions ◽  
Inclined Plane ◽  
Film Flows ◽  
Ptt Fluid

scholarly journals A mathematical justification of a thin film approximation for the flow down an inclined plane

2016 ◽  
Vol 444 (1) ◽  
pp. 804-824 ◽  
Author(s):  
Hiroki Ueno ◽  
Tatsuo Iguchi
Keyword(s):  
Thin Film ◽  
Inclined Plane ◽  
Mathematical Justification

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

Instability of a thin film flowing on a rotating horizontal or inclined plane

2002 ◽  
Vol 65 (2) ◽  
Author(s):  
L. A. Dávalos-Orozco ◽  
F. H. Busse
Keyword(s):  
Thin Film ◽  
Inclined Plane

Exact solutions for thin film flow of a third grade fluid down an inclined plane

2008 ◽  
Vol 38 (5) ◽  
pp. 1336-1341 ◽  
Author(s):  
T. Hayat ◽  
R. Ellahi ◽  
F.M. Mahomed
Keyword(s):  
Thin Film ◽  
Exact Solutions ◽  
Film Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Inclined Plane ◽  
Grade Fluid
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