On the growth (and suppression) of very short-scale disturbances in mixed forced-free convection boundary layers
| dc.contributor.author | Denier, J. | en |
| dc.contributor.author | Duck, P. | en |
| dc.contributor.author | Li, J. | en |
| dc.date.issued | 2005 | en |
| dc.description.abstract | The two-dimensional boundary-layer flow over a cooled/heated flat plate is investigated. A cooled plate (with a free-stream flow and wall temperature distribution which admit similarity solutions) is shown to support non-modal disturbances, which grow algebraically with distance downstream from the leading edge of the plate. In a number of flow regimes, these modes have diminishingly small wavelength, which may be studied in detail using asymptotic analysis. Corresponding non-self-similar solutions are also investigated. It is found that there are important regimes in which if the temperature of the plate varies (in such a way as to break self-similarity), then standard numerical schemes exhibit a breakdown at a finite distance downstream. This breakdown is analysed, and shown to be related to very short-scale disturbance modes, which manifest themselves in the spontaneous formation of an essential singularity at a finite downstream location. We show how these difficulties can be overcome by treating the problem in a quasi-elliptic manner, in particular by prescribing suitable downstream (in addition to upstream) boundary conditions. | en |
| dc.description.statementofresponsibility | James P. Denier, Peter W. Duck and Jian Li | en |
| dc.identifier.citation | Journal of Fluid Mechanics, 2005; 526:147-170 | en |
| dc.identifier.doi | 10.1017/S0022112004002782 | en |
| dc.identifier.issn | 0022-1120 | en |
| dc.identifier.issn | 1469-7645 | en |
| dc.identifier.uri | http://hdl.handle.net/2440/17835 | |
| dc.language.iso | en | en |
| dc.publisher | Cambridge Univ Press | en |
| dc.rights | Copyright © 2005 Cambridge University Press | en |
| dc.source.uri | http://www.journals.cambridge.org/action/displayAbstract?fromPage=online&aid=283930 | en |
| dc.title | On the growth (and suppression) of very short-scale disturbances in mixed forced-free convection boundary layers | en |
| dc.type | Journal article | en |
| pubs.publication-status | Published | en |
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