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Effect of a finite external heat transfer coefficient on the Darcy-Bénard instability in a vertical porous cylinder
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10.1063/1.4799253
/content/aip/journal/pof2/25/4/10.1063/1.4799253
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4799253

Figures

Image of FIG. 1.
FIG. 1.

A sketch of the fluid saturated porous cylinder.

Image of FIG. 2.
FIG. 2.

Neutral stability: plots of versus for the most unstable modes, each frame is for a different value of . The horizontal dotted line is for = ; the vertical dotted lines bound the regions where each specified (, )-mode is preferred.

Image of FIG. 3.
FIG. 3.

Neutral stability: plots of versus for the most unstable modes, each frame is for a different value of . The horizontal dotted line is for ; the vertical dotted lines bound the regions where each specified (, )-mode is preferred.

Image of FIG. 4.
FIG. 4.

Selected modes, (, ), at onset of convection in the plane (, ); the solid lines bound the regions where each specified mode is preferred.

Image of FIG. 5.
FIG. 5.

Qualitative plots of the time-independent normal modes Θ(, θ, ), given by Eq. (13) , as functions of (, θ) at a fixed plane = constant, with 0 < < 1, for the pairs (, ) ordered according to Table I .

Tables

Generic image for table
Table I.

Roots of Eq. (14) , ζ ≡ λ , in increasing order.

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/content/aip/journal/pof2/25/4/10.1063/1.4799253
2013-04-09
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effect of a finite external heat transfer coefficient on the Darcy-Bénard instability in a vertical porous cylinder
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4799253
10.1063/1.4799253
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