Some Problems in Geophysics

Cover Some Problems in Geophysics
Some Problems in Geophysics
J J Stoker
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Report of the Krakatoa Committee of the Royal Society of London (1888). +5 107 14-1 Lecture l4 Turbulence Spectra and Vortex Formation Alexandre Joel Chorin Introduction . It is well knovm that the energy spectnim E(k, t) of a turbulent flow has, for large wave number k, a universal form, i. E. A form common to a variety of flows whose larger scale features have little in common. This fact is often explained by the universal equilibrium hypothesis, well summarized in Batchelor : The range of wa...ve numbers k which contain most of the energy ("the energy containing eddies") can be regarded as a ""? 1/2 definite group, with characteristic velocity u = (u ) ' and Characteristic length 2 » k^^, where u is the velocity vector, the bar under u denotes a vector, the bar above (u ) denotes an appropriate average, and k is a typical wave number in the group. The characteristic time of these eddies is l/n, and the time scale of their decay is u/|3H|; these times are experimentally found to be comparable, and thus this range of k's has no feature resembling an equilibrium.

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