(a) Consider steady flow of an ideal fluid. The Bernoulli function (13.51) is conserved along streamlines. Show that the variation of B across streamlines is given by Crocco’s theorem:

(b) As an example, consider the air in a tornado. In the tornado’s core, the velocity vanishes; it also vanishes beyond the tornado’s outer edge. Use Crocco’s theorem to show that the pressure in the core is substantially different from that at the outer edge. Is it lower, or is it higher? How does this explain the ability of a tornado to make the walls of a house explode? For more detail.

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