Wilczynski, F and Hughes, DW orcid.org/0000-0002-8004-8631 (2019) Stability of two-layer miscible convection. Physical Review Fluids, 4 (10). 103502. ISSN 2469-990X
Abstract
The dynamics at the edge of fusion confinement devices involves the motion of plasma across two regions—the core and the scrape-off layer—that may have very different properties. Motivated by this problem, and exploiting the analogy between the equations governing plasma interchange dynamics and those of classical Rayleigh-Bénard convection, we consider the linear stability of two-dimensional, two-layer miscible convection. We focus specifically on the influence of three particular parameters: the ratio of the viscosities in the two layers, the ratio of the thermal diffusivities, and the ratio of the depths of the two layers. The key result is that, depending on the parameters of the problem, the most unstable mode can take one of three quite distinct forms: whole layer solutions, in which the eigenfunctions of the stream function and temperature extend over both layers of fluid; localized solutions, with the velocity cells or the temperature perturbation (or both) confined to just one of the layers; and segregated solutions, in which the fluid motion and temperature perturbation are confined to different fluid layers.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 American Physical Society. This is an author produced version of a paper published in Physical Review Fluids. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 23 Oct 2019 13:52 |
Last Modified: | 12 Nov 2019 22:37 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevFluids.4.103502 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:152384 |