Onset of Multicellular Convection in a Shallow Laterally Heated Cavity
Shallow cavity flows, driven by horizontal thermal gradients, are analysed over a range of Rayleigh numbers R and Prandtl numbers σ. Emphasis is placed on the limit in which R is comparable in size to the cavity aspect ratio L. Departures from two-dimensional steady Hadley cells, defined by the limi...
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| Veröffentlicht in: | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1987-06, Vol.411 (1841), p.327-350 |
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| container_end_page | 350 |
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| container_issue | 1841 |
| container_start_page | 327 |
| container_title | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences |
| container_volume | 411 |
| creator | Daniels, P. G. Blythe, P. A. Simpkins, P. G. |
| description | Shallow cavity flows, driven by horizontal thermal gradients, are analysed over a range of Rayleigh numbers R and Prandtl numbers σ. Emphasis is placed on the limit in which R is comparable in size to the cavity aspect ratio L. Departures from two-dimensional steady Hadley cells, defined by the limit L→ ∞ at fixed R and σ, are shown to be associated with nonlinear end effects. Eigenvalue calculations indicate the existence of a critical Prandtl number σc, below which the core structure is not necessarily parallel with the horizontal boundaries. For σ < σc the parallel flow core is destroyed at Rayleigh numbers R > Rc(σ). Results for the stability boundary Rc(σ) are presented. |
| doi_str_mv | 10.1098/rspa.1987.0070 |
| format | Article |
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Results for the stability boundary Rc(σ) are presented.</description><identifier>ISSN: 1364-5021</identifier><identifier>ISSN: 0080-4630</identifier><identifier>EISSN: 1471-2946</identifier><identifier>EISSN: 2053-9169</identifier><identifier>DOI: 10.1098/rspa.1987.0070</identifier><language>eng</language><publisher>London: The Royal Society</publisher><subject>Aspect ratio ; Boundary conditions ; Complex roots ; Convection ; Eigenfunctions ; Eigenvalues ; Free convection ; Heat transfer ; Prandtl number ; Rayleigh number</subject><ispartof>Proceedings of the Royal Society of London. 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For σ < σc the parallel flow core is destroyed at Rayleigh numbers R > Rc(σ). Results for the stability boundary Rc(σ) are presented.</description><subject>Aspect ratio</subject><subject>Boundary conditions</subject><subject>Complex roots</subject><subject>Convection</subject><subject>Eigenfunctions</subject><subject>Eigenvalues</subject><subject>Free convection</subject><subject>Heat transfer</subject><subject>Prandtl number</subject><subject>Rayleigh number</subject><issn>1364-5021</issn><issn>0080-4630</issn><issn>1471-2946</issn><issn>2053-9169</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1987</creationdate><recordtype>article</recordtype><recordid>eNp9kE9v1DAQxSMEEqVw5cTBXyBbO3YS-4SqFe0iLbSi_DmOXK_NejFxZDtb0k9fZ4MqrRA9eax5v5k3ryjeErwgWPCzEHu5IIK3C4xb_Kw4IawlZSVY8zzXtGFljSvysngV4w5jLGrenhQXV13UCXmDPg0uWaWdG5wMaOm7vVbJ-g7ZDkl0s5XO-Tu0lkmHXI5opXO5QUu5t2l8Xbww0kX95u97Wny7-PB1uSrXV5cfl-frUtWsSeVGaSbMhpOa0FtaaWmMMNqIqhGVZPyWKZolvNFaKllTyoyuG4oNrxinWGJ6WizmuSr4GIM20Af7W4YRCIYpBZhSgCkFmFLIAJ2B4MdszCur0wg7P4Quf_9PxaeoLzfX50Q0Ys8IsYQzAphTglvGcQX3tj-MmwSQBWBjHDQcZMdr_t36bt66i8mHx8sqKjimLLfLuW1j0n8e2zL8gqalbQ3fOQP8mVyuRHsNP7KezPqt_bm9s0HD0TX504coDxYP5mjVZub9k8xkWPku6S4dgWAG56DfGPoAJGXITg</recordid><startdate>19870608</startdate><enddate>19870608</enddate><creator>Daniels, P. 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G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c546t-dce49fd81513b32eaff9fef92692a48b4c3dce86eeaca5334fe5630f824830a03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1987</creationdate><topic>Aspect ratio</topic><topic>Boundary conditions</topic><topic>Complex roots</topic><topic>Convection</topic><topic>Eigenfunctions</topic><topic>Eigenvalues</topic><topic>Free convection</topic><topic>Heat transfer</topic><topic>Prandtl number</topic><topic>Rayleigh number</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Daniels, P. G.</creatorcontrib><creatorcontrib>Blythe, P. A.</creatorcontrib><creatorcontrib>Simpkins, P. G.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Proceedings of the Royal Society of London. 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Emphasis is placed on the limit in which R is comparable in size to the cavity aspect ratio L. Departures from two-dimensional steady Hadley cells, defined by the limit L→ ∞ at fixed R and σ, are shown to be associated with nonlinear end effects. Eigenvalue calculations indicate the existence of a critical Prandtl number σc, below which the core structure is not necessarily parallel with the horizontal boundaries. For σ < σc the parallel flow core is destroyed at Rayleigh numbers R > Rc(σ). Results for the stability boundary Rc(σ) are presented.</abstract><cop>London</cop><pub>The Royal Society</pub><doi>10.1098/rspa.1987.0070</doi><tpages>24</tpages></addata></record> |
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| ispartof | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 1987-06, Vol.411 (1841), p.327-350 |
| issn | 1364-5021 0080-4630 1471-2946 2053-9169 |
| language | eng |
| recordid | cdi_royalsociety_journals_10_1098_rspa_1987_0070 |
| source | JSTOR Mathematics & Statistics; JSTOR |
| subjects | Aspect ratio Boundary conditions Complex roots Convection Eigenfunctions Eigenvalues Free convection Heat transfer Prandtl number Rayleigh number |
| title | Onset of Multicellular Convection in a Shallow Laterally Heated Cavity |
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