Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/17835
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | On the growth (and suppression) of very short-scale disturbances in mixed forced-free convection boundary layers |
Author: | Denier, J. Duck, P. Li, J. |
Citation: | Journal of Fluid Mechanics, 2005; 526:147-170 |
Publisher: | Cambridge Univ Press |
Issue Date: | 2005 |
ISSN: | 0022-1120 1469-7645 |
Statement of Responsibility: | James P. Denier, Peter W. Duck and Jian Li |
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. |
Rights: | Copyright © 2005 Cambridge University Press |
DOI: | 10.1017/S0022112004002782 |
Published version: | http://www.journals.cambridge.org/action/displayAbstract?fromPage=online&aid=283930 |
Appears in Collections: | Applied Mathematics publications Aurora harvest 2 Environment Institute publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
hdl17835.pdf | Published version | 314.85 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.