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.
Pressure-driven miscible two-fluid channel flow with density gradients
Rent:
Rent this article for
USD
10.1063/1.3122779
/content/aip/journal/pof2/21/4/10.1063/1.3122779
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/4/10.1063/1.3122779
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic showing the initial flow configuration: fluid 1 occupies the entire channel, inclined at an angle to the horizontal, and is about to be displaced by fluid 2.

Image of FIG. 2.
FIG. 2.

Mass fraction of the displaced fluid (a) and temporal evolution of the position of the leading front separating the two fluids, , (b) obtained using different mesh densities for , , , , , and : The dotted lines in panels (a) and (b) represent the limiting case given by and , respectively. This corresponds to the case wherein fluid 1 is displaced by fluid 2 in plug flow and prior to the sharp, vertical interface separating the two fluids exiting the channel.

Image of FIG. 3.
FIG. 3.

Spatiotemporal evolution of the concentration contours for the same parameters as those used to generate Fig. 2.

Image of FIG. 4.
FIG. 4.

Evolution of the vorticity (top panel) and velocity vectors (bottom panel) for the same parameter values as those used to generate Fig. 3. The inset at the bottom, at , represents an enlarged view of the velocity vectors for .

Image of FIG. 5.
FIG. 5.

Effect of channel inclination, , on the mass fraction of the displaced fluid 1 (a), the temporal evolution of the position of the leading front separating the two fluids (b) for two different viscosity contrasts (solid lines: , dashed lines: ); variation of the velocity of the leading front in a moving reference frame with , (c), for : The rest of the parameter values are , , , and . The dotted lines in panels (a) and (b) are the analogs of those shown in Figs. 2(a) and 2(b), respectively. The dashed line in panel (c) is a best fit: .

Image of FIG. 6.
FIG. 6.

The effect of inclination angle, , on the concentration contours at , for : The rest of the parameter values remain unchanged from those used to generate Fig. 5.

Image of FIG. 7.
FIG. 7.

Streamwise variation of the depth-averaged concentration, , for the same parameters as those used to generate Fig. 6. Here, the -coordinate has been rescaled to .

Image of FIG. 8.
FIG. 8.

Transverse variation of the axial-averaged concentration, , for the same parameters as those used to generate Fig. 6.

Image of FIG. 9.
FIG. 9.

Effect of density ratio, , and Froude number, Fr, on the mass fraction of the displaced fluid 1 [(a) and (c)], the temporal evolution of the position of the leading front separating the two fluids [(b) and (d)]: The rest of the parameter values remain unchanged from those used to generate Fig. 2. The dotted lines in (a) and (c) are analogs of those shown in Figs. 2(a) and 5(a), and the dotted lines in (b) and (d) are analogs of those shown in Figs. 2(b) and 5(b). The lines associated with the “no gravity” legend correspond to the case wherein the gravitational terms in the governing equations have been neglected.

Image of FIG. 10.
FIG. 10.

Effect of channel inclination, , on the mass fraction of the displaced fluid 1 (a), the temporal evolution of the position of the leading front separating the two fluids (b) for two different density contrasts (solid lines: , dashed lines: ), variation of the velocity of the leading front, in a moving reference frame with (c) for : The rest of the parameter values remain unchanged from those used to generate Fig. 6. The dotted line in (a) is the analog of those shown in Figs. 2(a), 5(a), 9(a), and 9(c); and the dotted line in (b) is the analog of those shown in Figs. 2(b), 5(b), 9(b), and 9(d). The dashed line in panel (c) is a best fit: .

Image of FIG. 11.
FIG. 11.

The effect of inclination angle, , on the concentration contours at , for : The rest of the parameter values remain unchanged from those used to generate Fig. 10.

Loading

Article metrics loading...

/content/aip/journal/pof2/21/4/10.1063/1.3122779
2009-04-24
2014-04-24
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Pressure-driven miscible two-fluid channel flow with density gradients
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/4/10.1063/1.3122779
10.1063/1.3122779
SEARCH_EXPAND_ITEM