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

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

Some exact solutions for the thin film flow of a PTT fluid

2006 ◽  
Vol 356 (4-5) ◽  
pp. 353-356 ◽  
Author(s):  
A.M. Siddiqui ◽  
R. Mahmood ◽  
Q.K. Ghori
Keyword(s):  
Thin Film ◽  
Exact Solutions ◽  
Film Flow ◽  
Thin Film Flow ◽  
Ptt Fluid

BEM solution of thin film flows on an inclined plane with a bottom outlet

2009 ◽  
Vol 33 (3) ◽  
pp. 388-398 ◽  
Author(s):  
N.H. Shuaib ◽  
H. Power ◽  
S. Hibberd
Keyword(s):  
Thin Film ◽  
Inclined Plane ◽  
Film Flows ◽  
Bottom Outlet

scholarly journals Secondary instability in thin film flows under an inclined plane: growth of lenses on spatially developing rivulets

2021 ◽  
Vol 477 (2251) ◽  
pp. 20210291
Author(s):  
Pier Giuseppe Ledda ◽  
François Gallaire
Keyword(s):  
Thin Film ◽  
Large Range ◽  
Invariant State ◽  
Inclined Plane ◽  
Thickness Profile ◽  
Lubrication Equation ◽  
Time Harmonic ◽  
Nonlinear Simulations ◽  
Film Flows ◽  
Time Periodic

The response of a thin film flowing under an inclined plane, modelled using the lubrication equation, is studied. The flow at the inlet is perturbed by the superimposition of a spanwise-periodic steady modulation and a decoupled temporally periodic but spatially homogeneous perturbation. As the consequence of the spanwise inlet forcing, the so-called rivulets grow downstream and eventually reach a streamwise-invariant state, modulated along the direction perpendicular to the flow. The linearized dynamics in the presence of a time-harmonic inlet forcing shows the emergence of a time-periodic flow characterized by drop-like structures (so-called lenses) that travel on the rivulet. The spatial evolution is rationalized by a weakly non-parallel stability analysis. The occurrence of the lenses, their spacing and thickness profile, is controlled by the inclination angle, flow rate, and the frequency and amplitude of the time-harmonic inlet forcing. The faithfulness of the linear analyses is verified by nonlinear simulations. The results of the linear simulations with inlet forcing are combined with the computations of nonlinear travelling lenses solutions in a double-periodic domain to obtain an estimate of the dripping length, for a large range of conditions.

Exact solutions of thin film flows

2007 ◽  
Vol 50 (1-2) ◽  
pp. 229-233 ◽  
Author(s):  
S. Asghar ◽  
T. Hayat ◽  
A. H. Kara
Keyword(s):  
Thin Film ◽  
Exact Solutions ◽  
Film Flows

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

Inertia dominated thin-film flows over microdecorated surfaces

2010 ◽  
Vol 22 (7) ◽  
pp. 073602 ◽  
Author(s):  
Emilie Dressaire ◽  
Laurent Courbin ◽  
Jérome Crest ◽  
Howard A. Stone
Keyword(s):  
Thin Film ◽  
Film Flows

Beating capillarity in thin film flows

2009 ◽  
pp. n/a-n/a ◽  
Author(s):  
Mathieu Sellier ◽  
Satyananda Panda
Keyword(s):  
Thin Film ◽  
Film Flows
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