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Crucial flow stabilization and multiple instability branches of gravity-driven films over topography
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10.1063/1.4790434
/content/aip/journal/pof2/25/2/10.1063/1.4790434
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4790434

Figures

Image of FIG. 1.
FIG. 1.

Geometry of the undulated inlay.

Image of FIG. 2.
FIG. 2.

Measurement setup for the detection of the steady streamline patterns in the bulk of the liquid.

Image of FIG. 3.
FIG. 3.

Recorded streamline patterns for Elbesil 145 oil at different Reynolds numbers. The Reynolds number has been increased from the image in the top left corner to the image in the lower right corner, as indicated in each subfigure.

Image of FIG. 4.
FIG. 4.

Measured cross-sectional areas of the eddies, which form in the troughs of the topography for three different liquids or viscosities, respectively.

Image of FIG. 5.
FIG. 5.

Experimental setup for the measurement of the instability.

Image of FIG. 6.
FIG. 6.

Typical amplitudes of a Fourier decomposed measurement signal. The example shows the measurement signal, which corresponds to the Elbesil 145 oil at an excitation frequency of = 5.4 Hz and a Reynolds number of Re = 27.16.

Image of FIG. 7.
FIG. 7.

Amplitude differences plotted over the Reynolds number. Red line indicates a linear fit of the data to interpolate for the neutral point. Example shows the measurement signal, which corresponds to the Elbesil 145 oil at an excitation frequency of = 5.4 Hz.

Image of FIG. 8.
FIG. 8.

Stability map of the Elbesil 65 oil including the neutral curve of the flat incline (solid red line) and the measured sizes of the eddies. Ka = 3.745.

Image of FIG. 9.
FIG. 9.

Stability map of the Elbesil 100 oil including the neutral curve of the flat incline (solid red line) and the measured sizes of the eddies. Ka = 2.086.

Image of FIG. 10.
FIG. 10.

Stability map of the Elbesil 145 oil including the neutral curve of the flat incline (solid red line) and the measured sizes of the eddies. Ka = 1.279.

Image of FIG. 11.
FIG. 11.

Sketch of the substituting substrate corresponding to the flow configuration Ka = 1.279 and Re = 13.

Image of FIG. 12.
FIG. 12.

Recorded streamline pattern for Elbesil 145 oil flowing over modified substrate geometry. Re = 13. Ka = 1.279.

Tables

Generic image for table
Table I.

Material properties at = 24° C.

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/content/aip/journal/pof2/25/2/10.1063/1.4790434
2013-02-21
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Crucial flow stabilization and multiple instability branches of gravity-driven films over topography
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4790434
10.1063/1.4790434
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