1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Bottom reconstruction in thin-film flow over topography: Steady solution and linear stability
Rent:
Rent this article for
USD
10.1063/1.3211289
/content/aip/journal/pof2/21/8/10.1063/1.3211289
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/8/10.1063/1.3211289
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Thin liquid film with mean film thickness , driven by gravity , flowing down an incline with inclination angle . The flow geometry is given by the bottom topography , the position of the free surface , and the film thickness .

Image of FIG. 2.
FIG. 2.

Bottom amplitude for a given free surface vs Reynolds number at different inverse Bond numbers. The other parameters are and .

Image of FIG. 3.
FIG. 3.

Bottom amplitude for a given free surface vs Reynolds number at different film thickness parameters. The other parameters are and .

Image of FIG. 4.
FIG. 4.

Phase shift of the bottom for a given free surface vs Reynolds number at different inverse Bond numbers. The other parameters are and .

Image of FIG. 5.
FIG. 5.

Minimum bottom amplitude and Reynolds number at minimum vs pressure number for different film thickness parameters.

Image of FIG. 6.
FIG. 6.

Comparison of the analytical solution of Sellier (Ref. 24 ) and the numerical solution within the WRIBL framework. The parameters for the WRIBL approach are , , , and .

Image of FIG. 7.
FIG. 7.

Comparison of the bottom amplitude derived from the analytical perturbation approximation and the numerical solution. The solid line denotes the analytical solution for . Lines with symbols indicate numerical solutions. The other parameters are , , and .

Image of FIG. 8.
FIG. 8.

Free surface and bottom contour. The parameters are , , , , and .

Image of FIG. 9.
FIG. 9.

Amplitude of the Fourier modes of the bottom topography vs free surface amplitude. The parameters are , , , and .

Image of FIG. 10.
FIG. 10.

Bottom profiles for different free surface amplitudes . The parameters are , , , and .

Image of FIG. 11.
FIG. 11.

Comparison of the Fourier modes of the WRIBL model and the IBL model for the case , , , and .

Image of FIG. 12.
FIG. 12.

Absolute value of the largest eigenvalue vs frequency . Values larger than 1 indicates instability. The parameters are , , and .

Image of FIG. 13.
FIG. 13.

Critical Reynolds number vs free surface amplitude at different inverse Bond numbers for the case and . The shaded area indicates the stable domain for the flat bottom below .

Loading

Article metrics loading...

/content/aip/journal/pof2/21/8/10.1063/1.3211289
2009-08-31
2014-04-17
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Bottom reconstruction in thin-film flow over topography: Steady solution and linear stability
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/8/10.1063/1.3211289
10.1063/1.3211289
SEARCH_EXPAND_ITEM