A simple analytic approximation to the Rayleigh-B ?enard stability threshold

Simple item page
dc.contributor.authorProsperetti, Andrea
dc.date.accessioned2020-03-10T19:14:57Z
dc.date.available2020-03-10T19:14:57Z
dc.date.issued12/7/2011
dc.description.abstractThe Rayleigh-Bénard linear stability problem is solved by means of a Fourier series expansion. It is found that truncating the series to just the first term gives an excellent explicit approximation to the marginal stability relation between the Rayleigh number and the wave number of the perturbation. Where the error can be compared with published exact results, it is found not to exceed a few percent over the entire wave number range. Several cases with no-slip boundaries of equal or unequal thermal conductivities are considered explicitly.
dc.identifier.citationCopyright 2011 Physics of Fluids. Recommended citation: Prosperetti, Andrea. "A simple analytic approximation to the Rayleigh-Bénard stability threshold." Physics of fluids 23, no. 12 (2011): 124101. DOI: 10.1063/1.3662466 URL: https://aip.scitation.org/doi/abs/10.1063/1.3662466 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).
dc.identifier.urihttps://hdl.handle.net/10657/6140
dc.language.isoen_US
dc.publisherThe Physics of Fluids
dc.subjectControl theory
dc.subjectThermal diffusion
dc.subjectLinear stability analysis
dc.subjectFourier analysis
dc.subjectPorous media
dc.subjectMatrix calculus
dc.titleA simple analytic approximation to the Rayleigh-B ?enard stability threshold
dc.typearticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Prosperetti_2011_ASimpleAnalyticApproximation.pdf
Size:
404.31 KB
Format:
Adobe Portable Document Format
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
4.69 KB
Format:
Plain Text
Description:
Download

Collections

UH Faculty, Staff, and Student Works