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Hysteresis effects in a differentially heated rotating fluid annulus
Author(s) -
Cole R. J.
Publication year - 1971
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49709741410
Subject(s) - annulus (botany) , mechanics , rossby number , rossby wave , wavenumber , physics , stability (learning theory) , flow (mathematics) , hydrodynamic stability , series (stratigraphy) , fourier series , mathematics , classical mechanics , reynolds number , geology , mathematical analysis , materials science , turbulence , optics , atmospheric sciences , machine learning , paleontology , computer science , composite material
This paper is concerned with the motion of an annulus of fluid which is contained between two cylinders rotating about their common axis. The fluid is differentially heated in the horizontal. Examination of the stability of the wave régime flow is carried out by perturbing an averaged form of a non‐linear wave‐régime solution. This leads to a linear system describing the disturbance and is solved approximately using a truncated Fourier series. By this means theoretical stability criteria are obtained in terms of the Rossby number and the wave number. These results are compared with experimental wave change criteria and qualitative agreement is found.