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| Titel |
The global characteristics of the three-dimensional thermal convection inside a spherical shell |
| VerfasserIn |
J. Arkani-Hamed |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 4, no. 1 ; Nr. 4, no. 1, S.19-27 |
| Datensatznummer |
250001458
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| Publikation (Nr.) |
 copernicus.org/npg-4-19-1997.pdf |
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| Zusammenfassung |
| The Rayleigh number-Nusselt number,
and the Rayleigh
number-thermal boundary layer thickness
relationships are
determined for the three-dimensional convection in a
spherical
shell of constant physical parameters. Several
models are
considered with Rayleigh numbers ranging from 1.1 x
102 to 2.1
x 105 times the critical Rayleigh
number. At lower Rayleigh
numbers the Nusselt number of the three-dimensional
convection
is greater than that predicted from the boundary layer
theory
of a horizontal layer but agrees well with the
results of an
axisymmetric convection in a spherical shell. At high
Rayleigh
numbers of about 105 times the critical
value, which are the
characteristics of the mantle convection in
terrestrial
planets, the Nusselt number of the
three-dimensional
convection is in good agreement with that of the
boundary
layer theory. At even higher Rayleigh numbers, the
Nusselt
number of the three-dimensional convection becomes
less than
those obtained from the boundary layer theory. The
thicknesses
of the thermal boundary layers of the spherical shell
are not
identical, unlike those of the horizontal layer. The
inner
thermal boundary is thinner than the outer one, by
about 30-
40%. Also, the temperature drop across the inner
boundary
layer is greater than that across the outer boundary
layer. |
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