Hydrodynamic stability theory by Georgescu A.

By Georgescu A.

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Depending from the method of investigation, two classes of coherent structures were found 1. Longitudinal vortices in flow direction, slightly raised and connected at the forward end by a weak lateral vortex bow. 2. A series of ordered vortices, which due to their form are called Λ- or hairpin-vortices organized in turbulent spots. They first were visualized and documented by Head and Bandyopadhyay (1981). Since both forms exist, they must be related by a mechanism. Several models were postulated, but none of them was able to satisfy completely.

Depending from the method of investigation, two classes of coherent structures were found 1. Longitudinal vortices in flow direction, slightly raised and connected at the forward end by a weak lateral vortex bow. 2. A series of ordered vortices, which due to their form are called Λ- or hairpin-vortices organized in turbulent spots. They first were visualized and documented by Head and Bandyopadhyay (1981). Since both forms exist, they must be related by a mechanism. Several models were postulated, but none of them was able to satisfy completely.

However, all have to be calibrated by laboratory or field measurements. All these formulas are empirical ones and very useful when a prediction has to be made for a river with similar conditions as the one used to calibrate the formula. Since many of such formulas exist, one can choose the most appropriate one for the case under investigation. With this remark, we already made clear that for many practical cases one could find the proper classical formula. However, doing so, one uses a recipe, which tells little about what is really going on physically.

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