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3 - Instability and transition to turbulence in stratified shear flows

Published online by Cambridge University Press:  05 June 2012

S. A. Thorpe
Affiliation:
University of Wales, Bangor
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Summary

Introduction

How turbulence develops from the instability of a smooth, laminar, stably stratified, shear flow is described in this chapter. It commences with an account of the early history of the study of the instability and how it was eventually observed in the ocean. The story nicely illustrates how the study of fundamental processes in fluid dynamics aids the investigation of naturally occurring fluids, in this case first the atmosphere and later the ocean and lakes. The shear flow instability involves several features characteristic of turbulent flow: the formation of eddies, the stretching of fluid between neighbouring eddies – intensifying gradients of fluid properties, notably density – their pairing or amalgamation and the transfer of vorticity to larger scales, and their break-down to form an energetic field of smaller eddies. Shear instability is by no means the only form of instability to occur in the stratified ocean, as is revealed in later chapters.

The temperature measurements that were to form the basis of Watson's discovery of internal seiches in Loch Ness, described in Section 2.1, and which underpinned Wedderburn's later investigations, began in April 1903, using reversing thermometers. Measurements were made at about ten depths on a roughly daily basis. Wedderburn (1907) reports the following, using the Germanic ‘Sprungschicht’ to mean a layer of changing temperature or density.

The behaviour of water in the neighbourhood of a Sprungschicht is very similar to the behaviour of water near the surface. Before this was understood, the observers were often puzzled when working with mercury thermometers by obtaining readings which seemed to show the presence of very marked inverse stratification, which always disappeared in a very illusory fashion when any attempt was made to follow it up.

Type
Chapter
Information
The Turbulent Ocean , pp. 80 - 114
Publisher: Cambridge University Press
Print publication year: 2005

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