Meanders 



(17) 

 (18) 



(19) 



(20) 



The first approximation of A may be obtained from equation (10) by direct 

 integration: 



'■Fr['(-*a)*»]'"'- 



■)■ 



(21) 



= hAl-e-'^^- 



ZctM 



The value of x for which h vanishes is given approximately by 



2 



■ 3a^ 



(22) 



Because the shape of the interface is not strikingly different in troughs and 

 crests, it is not hkely that it would be very easy to test the hypotheses 

 entering into the theory by hydrographic sections across crests and troughs 

 of meanders. A more plausible test is to compare the velocity in a crest and 

 a trough at the same value of h. For purposes of illustration we construct a 



TABLE 8 

 Numerical Example of Velocity Profile in Meanders 



a Probable error, ± 0-002. 



•» For hjha values of 0-7 and higher, the values of vjc (cyclonic) and vjc (anticyclonic) are 

 essentially equal, within graphical error. 



