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.
Interfacial instability of two rotating viscous immiscible fluids in a cylinder
Rent:
Rent this article for
USD
10.1063/1.3599507
/content/aip/journal/pof2/23/6/10.1063/1.3599507
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/6/10.1063/1.3599507
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Geometric configuration: inner surface of radius R 1 is the base flow interface, outer surface of radius R 2 is the rigid boundary.

Image of FIG. 2.
FIG. 2.

(Color online) Growth rate vs wavenumber for the rotating annulus at different values of the Hocking number L2 and of the radius ratio b. (a): b = 1.2, L2 = 1.5, (b): b = 1.2, L2 = 10, (c): b = 12, L2 = 1.5, and (d): b = 12, L2 = 10. Dashed lines correspond to the inviscid solution of Weidman et al. (Ref. 8).

Image of FIG. 3.
FIG. 3.

(Color online) Variation with the Reynolds number Re2 of the maximum growth rate and wavenumber of maximum growth rate for the rotating annulus at different values of the radius ratio b and at L2 = 1.5. Dashed line corresponds to the prediction of the theory of de Hoog and Lekkerkerker (Ref. 10).

Image of FIG. 4.
FIG. 4.

(Color online) Variation with the Reynolds number Re2 of the maximum growth rate and wavenumber of maximum growth rate for the rotating annulus at different values of the radius ratio b and at L2 = 10. Dashed line corresponds to the prediction of the theory of de Hoog and Lekkerkerker (Ref. 10).

Image of FIG. 5.
FIG. 5.

Variation with the Reynolds number Re2 of the maximum growth rate and wavenumber of maximum growth rate for the rotating annulus at different values of the radius ratio b for L2 = 2. Lines denoted with + symbols are relative to computations in which Coriolis terms are artificially suppressed.

Image of FIG. 6.
FIG. 6.

(Color online) Variation with the Reynolds number Re2 of the maximum growth rate and wavenumber of maximum growth rate for the rotating annulus at different values of the Ohnesorge number Oh2 and for b = 20. Continuous line is the prediction of Tomotika (Ref. 4) theory. Dashed lines are the predictions of de Hoog and Lekkerkerker theory (Ref. 10) for the first three values of Oh2.

Image of FIG. 7.
FIG. 7.

(Color online) Variation with the Hocking number L2 of the maximum growth rate and wavenumber of maximum growth rate for the rotating annulus at different values of the Reynolds number Re2. (a) and (b): b = 20, (c) and (d): b = 1.2. Dashed lines are the predictions of de Hoog and Lekkerkerker theory (Ref. 10) for the first three values of Re2. Dash-dotted line is the prediction of Rayleigh (Ref. 2) theory.

Image of FIG. 8.
FIG. 8.

(Color online) Variation with the radius ratio b of the maximum growth rate and wavenumber of maximum growth rate for the rotating annulus at different values of the Reynolds number Re2. (a) and (b): L2 = 1.5, (c) and (d): L2 = 10. Dashed lines are the inviscid solutions of Weidman et al. (Ref. 8).

Image of FIG. 9.
FIG. 9.

(Color online) Maximum growth rate and critical wavenumber as functions of Re2 for the two-fluid rotating system. λ = χ = 1, b = 12. Continuous lines are the predictions of Ashmore and Stone’s (Ref. 11) large-Taylor number asymptotic theory. Thick lines are the predictions of Tomotika (Ref. 4) theory.

Image of FIG. 10.
FIG. 10.

(Color online) Maximum growth rate and critical wavenumber as functions of Re2 for the two-fluid rotating system. λ = 0.5, χ = 1, b = 12. Continuous lines are the predictions of Ashmore and Stone’s (Ref. 11) large-Taylor number asymptotic theory, thick line are the predictions of Tomotika (Ref. 4) theory, and dashed lines are the prediction of de Hoog and Lekkerkerker theory (Ref. 10) for the first three values of Oh2.

Image of FIG. 11.
FIG. 11.

Maximum growth rate and critical wavenumber as functions of Re2 for the two-fluid rotating system for χ = 0.5, b = 5 and various λ. (a) and (b): L2 = 1, (c) and (d): L2 = 5.

Image of FIG. 12.
FIG. 12.

(Color online) Maximum growth rate and critical wavenumber as functions of λ for the two-fluid rotating system for χ = 0.5, L2 = 5, b = 5 and various Re2. Dashed lines are the inviscid solution of Weidman et al. (Ref. 8).

Image of FIG. 13.
FIG. 13.

(Color online) Maximum growth rate and critical wavenumber as functions of L2 for the two-fluid rotating system for χ = 0.5, b = 2 and various λ. Continuous lines are computed for Re2 = 10, dashed lines are the inviscid solution of Weidman et al. (Ref. 8).

Image of FIG. 14.
FIG. 14.

(Color online) Variation of L2c (a) and σ Mc (b) as functions of Re2. Symbol legends are: Δ: b = 1.2, ○: b = 5. Continuous lines are for χ = 1, dashed lines are for χ = 0.5, and dash-dotted lines are for χ = 0.1.

Image of FIG. 15.
FIG. 15.

Maximum growth rate and critical wavenumber as functions of χ for the two-fluid rotating system for Re2 = 1, L2 = 5, b = 5 and various λ.

Loading

Article metrics loading...

/content/aip/journal/pof2/23/6/10.1063/1.3599507
2011-06-22
2014-04-19
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Interfacial instability of two rotating viscous immiscible fluids in a cylinder
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/6/10.1063/1.3599507
10.1063/1.3599507
SEARCH_EXPAND_ITEM