Cnoidal Waves in a Toroidal Channel
Cnoidal Waves in a Toroidal Channel
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The object of the present paper is to extend the ideas of [1] so that we can con- sider Irrotatlonal cnoidal waves in a gravitating liquid con- fined to a toroidal channel: a channel whose wall is formed by the rotation of an arc around a fixed axis as shown in Fig. 1 in Section 2. We suppose that the liquid is subject to a body force directed toward this axis. One of the reasons for considering an analysis of cnoidal waves in such a fluid body is that it may give some insight with respect to n...onlinear waves in a liquid or gaseous ocean confined to a channel along a parallel of latitude on a sphere. It is not a priori clear that cnoidal or solitary waves exist in a toroidal ocean since their existence in straight channels Is strongly coupled with the fact that waves of very large wave length exist in such channels. The infinite length of the straight channel, in which it has been proved that cnoidal waves can exist, stands in contrast with the finite length of the liquid filled toroidal channel which is the subject of the problem treated here.
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You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The object of the present paper is to extend the ideas of [1] so that we can con- sider Irrotatlonal cnoidal waves in a gravitating liquid con- fined to a toroidal channel: a channel whose wall is formed by the rotation of an arc around a fixed axis as shown in Fig. 1 in Section 2. We suppose that the liquid is subject to a body force directed toward this axis. One of the reasons for considering an analysis of cnoidal waves in such a fluid body is that it may give some insight with respect to n...onlinear waves in a liquid or gaseous ocean confined to a channel along a parallel of latitude on a sphere. It is not a priori clear that cnoidal or solitary waves exist in a toroidal ocean since their existence in straight channels Is strongly coupled with the fact that waves of very large wave length exist in such channels. The infinite length of the straight channel, in which it has been proved that cnoidal waves can exist, stands in contrast with the finite length of the liquid filled toroidal channel which is the subject of the problem treated here.
What to read after Cnoidal Waves in a Toroidal Channel?
You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
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