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.
Onset of convection in two liquid layers with phase change
Rent:
Rent this article for
USD
10.1063/1.2800339
/content/aip/journal/pof2/19/10/10.1063/1.2800339
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/10/10.1063/1.2800339

Figures

Image of FIG. 1.
FIG. 1.

Phase diagram for the water-steam system near its critical point. The solid curve is the coexistence curve for the two-phase system, representing the locus of equilibrium temperatures and pressures and terminating at the critical point where the properties of the liquid and gas phases become identical. The two dashed curves represent schematic profiles of and , respectively, in the gas layer. If the dashed curve has a small enough slope, it lies within the liquid region of the phase diagram and represents a supercooled gas state. A similar diagram applies for the profile in the liquid layer, where a superheated liquid state is possible if the corresponding slope is sufficiently small.

Image of FIG. 2.
FIG. 2.

Marginal stability curves for the water-steam system heated from below. Solid curves represent stationary modes, and the dotted curves represent oscillatory modes.

Image of FIG. 3.
FIG. 3.

Marginal stability curves for the water-steam system heated from below. Here, the effects of buoyancy are neglected by setting . The solid curves represent numerical results, and the symbols correspond to a small wavenumber expansion. The dashed curve represents a large-wavenumber expansion.

Image of FIG. 4.
FIG. 4.

Marginal stability curves for the water-steam system heated from above for various values of the entropy jump , keeping the ratio fixed. Here, the effects of buoyancy are neglected by setting , and we have plotted vs the wavenumber . From bottom to top, the curves correspond to , , , and , respectively.

Image of FIG. 5.
FIG. 5.

Marginal stability curves for the water-steam system heated from below for various values of the entropy jump , keeping the ratio fixed. Here, the effects of buoyancy are neglected by setting . The solid curves represent stationary modes, and dashed curves correspond to oscillatory modes that connect to stationary modes with the same values of . From top to bottom on either the extreme left or extreme right sides of the plot, the stationary curves correspond to , and , respectively.

Image of FIG. 6.
FIG. 6.

Marginal stability curves for the water-steam system that is unstably stratified with respect to gravity. The dashed curve corresponds to the classical Rayleigh-Taylor instability in the absence of buoyancy, given by . The solid curve represents numerical results that include the effects of buoyancy, with and .

Image of FIG. 7.
FIG. 7.

Streamfunction contours (light lines) and temperature contours for the large-wavenumber solution with and equal material properties in both phases. The magnitude of the perturbation is exaggerated to emphasize the deformation of the temperature contours.

Tables

Generic image for table
Table I.

Thermophysical properties of the steam ( phase) water ( phase) system at the equilibrium state with and used in the numerical calculations.

Generic image for table
Table II.

Dimensionless variables for the steam ( phase) water ( phase) system at and .

Loading

Article metrics loading...

/content/aip/journal/pof2/19/10/10.1063/1.2800339
2007-10-31
2014-04-25
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Onset of convection in two liquid layers with phase change
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/10/10.1063/1.2800339
10.1063/1.2800339
SEARCH_EXPAND_ITEM