154913 - patterned convection in inclined slots.pdf (3.71 MB)
Patterned convection in inclined slots
journal contribution
posted on 2023-05-21, 15:45 authored by Floryan, JM, Baayoun, A, Panday, S, Andrew BassomAndrew BassomAn analysis of laminar natural convection in inclined slots subjected to patterned heating has been performed. The imposed heating takes a simple form characterized by a single Fourier mode combined with uniform heating. It is shown that periodic heating applied at the lower plate produces no net flow when the slot is either horizontal or vertical, but a net upward flow is generated when the slot is tilted. Periodic heating applied at the upper plate produces net downward flow in the inclined situation. The addition of uniform heating promotes the upward flow while cooling has the opposite effect. There is a critical inclination angle at which the maximum net flow rate is greatest. Dynamic and thermal boundary layers are present when the wavenumber of the imposed heating is large. The use of heating at both plates, with the same wavenumber, leads to a flow dominated by the plate exposed to a more intense heating; when the two plates are heated equally no net flow is observed irrespective of the inclination angle. Changes of the relative positions of the two patterns can change the net flow rate by up to 50 %. The intensity of the flow increases with reduction of the Prandtl number. If the heating applied to the plates is of different wavelength, but of the same intensity, a wide range of behaviours of the flow system is possible. The details of this response are sensitive to the ratio of the two wavenumbers.
History
Publication title
Journal of Fluid MechanicsVolume
950Issue
11Pagination
1-29ISSN
1469-7645Department/School
School of Natural SciencesPublisher
Cambridge University PressPlace of publication
United KingdomRights statement
© The Author(s), 2022. Published by Cambridge University Press. This is an open access article under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) License, (https://creativecommons.org/licenses/by/4.0/) which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.Repository Status
- Open