APPENDIX III 

 EXACT SOLUTION OF THE ICE POTENTIAL EQUATION 



Defant and Zubov have both shown that for the fonnation of li 

 centimeters of ice, when convection has reached a depth of h centi- 

 meters, the change in the mean salinity of the column of water (o,h), 

 must be f Pi \ 



c AtwL 



o,h " / P\\ i * °o,h 



Ac" - \i_ r ' k "q (3.1) 



where k is the proportional part of the salt released from the sea 

 water that is frozen. If lj Is small in comparison with h, a first 

 approximation to lj, 1q» is 



[fo* 



Denote 



1 = h \£lL 2A (3.2) 



k S 



■(«m- 



Then r is an index of the percentage error in the first approximation 

 to lj . If r 5 .05, then 1 °^ lj I s in error by more than 5$ and the 

 exact solution 



Irlo 



i + r 



(3.4) 



should be used. 



13 



