Hysteresis effects in a differentially heated rotating fluid annulus

✍ Scribed by R. J. Cole

• Book ID: 104574203
• Publisher: John Wiley and Sons
• Year: 1971
• Tongue: English
• Weight: 724 KB
• Volume: 97
• Category: Article
• ISSN: 0035-9009
• DOI: 10.1002/qj.49709741410

✦ Synopsis

Abstract

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.