APPENDIX I 



DERIVATION OF A FORMULA FOR THE SENSIBLE HEAT LOSS Qr(h) ASSOCIATED 

 WITH CONVECTION TO h AS A RESULT OF ICE FORMATION 



Since lj^h) is in general small in comparison with h, Qr(h) is 

 very nearly 



Qr(h)=/ o C w (2)f w (Z){T(E)-T f (S 0! h+AS 0| h)}dZ 



where ^(z) and w (z) are respectively the. specific heat and density 

 of the sea water at the depth z. 



Now the product c w (z)£) w (z) is relatively constant for all sea 

 waters and AS Q h , as a result of the initial assumption, must be 

 small in comparison with S 0) h. Hence, one hat; 



Or(h)«CwPwh[T 07h -T f (So,h)]. 



