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DISCUSSION 



Prof. Hajime Maruo 



Yokohama National University 

 Yokohama^ Japan 



In the present analysis , the problem of the shallow water 

 effect is discussed on the basis of a self-consistent linearized 

 theory. According to the investigations into the same problem both 

 theoretical and experimental, which were carried out at the University 

 of Tokyo several years ago, nonlinear phenomena appeared remark- 

 ably in the trans-critical speed range. This problem can be analyzed 

 by a similar way to the nonlinear theory of the transonic flow of a 

 compressible fluid. At that time, however, the theory of the tran- 

 sonic gas flow had not been well developed, and the former investi- 

 gations were obliged to confine themselves in the analysis by the 

 analogy with the simple one-dimensional duct flow. Nowadays the 

 theory of the transonic flow around a body has been developed to a 

 great extent. The mathematical technique used in it may be available 

 to the problem of the nonlinear shallow water effect. 



658 



