[ 377 ] 



XLIII. On Stationary Liquid Waves. 



By Frederick Guthrie. 



[Concluded from p. 302.] 



§ 20. IkM ONONODAL undulations in rectangular troughs. — 

 In rectangular troughs the mononodal wave-system 

 can be established by tilting or by the use of a wide stirrer. 

 The wave-length is twice that of the trough. As the shallowness 

 influences longer waves more than shorter ones, we must look 

 for greater discrepancies here than in §§ 15, 16, 17. .Taking 

 the same troughs, namely Z, Y, X, W, the first experiments were 

 to determine the influence of depth. 



Influence of Depth on Mononodal Waves in 

 Rectangular Troughs. 



Depth. 



Z. 



y. 



X. 



W. 



millims. 











120 









92 



140 









93 



160 









94 



180 









94 



200 



49 







94 



220 



51-5 







94 



240 



53 



61 



746 



94 



260 



54 



622 



75-2 



94 



280 



55 



63 



7Q 



94 



300 



55 



63 



76 



94 



Experiments with Z (depth =290 millims.). 

 In 2' there were 110 waves. 

 m 3 „ 165 j, 



Mean rate for Z per 1' ... 55 



Experiments with Y. 



In 3' there were 189 waves. 

 „ 2> „ 126 „ 



Mean rate for Y per 1' . . . 63 



Experiments with X. 



In 3' there were 228 waves. 



)> % „ 152 „ 



Mean rate for X per 1' ... 76 

 Experiments with W. 



In 1' there were 94 waves. 



„ V » 94 „ 



Mean rate for W per 1' . 



94 



94 



