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Combined diffusion-driven and convective flow in a tilted square container
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10.1063/1.3582853
/content/aip/journal/pof2/23/5/10.1063/1.3582853
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/5/10.1063/1.3582853
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The configuration in Sec. III, where , showing the flow structure for . The insulating boundaries on which Tn  = 0 are shaded and the internal arrows show the flow direction.

Image of FIG. 2.
FIG. 2.

(a) Streamlines for the R 1/4-layer solution when at R = 10–4 and ; (b) numerical solution for from the full equations (2) at the same parameters; (c) the corresponding perturbation temperature ; (d) numerical solution for the temperature difference [TT 0].

Image of FIG. 3.
FIG. 3.

Streamlines for R 1/3-layer flows based on the solutions in Sec. III of Page10 for (a) unit mass sources at both ends with equal expulsion from both sides, as in Sec. III E; (b) a single unit mass source with expulsion on one side only, as in Sec. ???.

Image of FIG. 4.
FIG. 4.

(a) The flow structure for , using the same labeling as in Fig. 1; (b) streamlines for the numerical solution of the full equations when at R = 10–4 and ; (c) surface plot of the R 1/4-layer solution at the same parameters; (d) corresponding plot of the numerical solution , where .

Image of FIG. 5.
FIG. 5.

(a) The flow structure for , using the same labeling as in Fig. 1; (b) streamlines for the numerical solution of the full equations when at R = 10–4 and ; (c) surface plot of the R 1/4-layer solution ( ) at the same parameters; (d) corresponding plot of the numerical solution , where .

Image of FIG. 6.
FIG. 6.

(a) Plots as a function of of (dotted) and the mean value of over the container, based on numerical solutions of the full equations for R = 10–4 and , along with estimates of the latter (dashed line); (b) the scaled maximum velocity and “mid-sectional” maximum velocity with estimated values of the latter (dashed line); (c) numerical solutions for [Tz – 1]/R 1/2 along a cross-section from the bottom to the top corner compared with the analytical solution (dotted lines) for ; (d) the same quantities for .

Image of FIG. 7.
FIG. 7.

(a) Percentage differences in between numerical solutions of the linearized and nonlinear equations for R = 10–4 and at ; (b) percentage differences in between numerical solutions of the nonlinear equations for and for , when R = 10–4 and .

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/content/aip/journal/pof2/23/5/10.1063/1.3582853
2011-05-31
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Combined diffusion-driven and convective flow in a tilted square container
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/5/10.1063/1.3582853
10.1063/1.3582853
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