Mov% 3 Inwt and Kajitani 



Similarly, the pressure condition 



» t^lte) 2 + te) 2 + fe) 2 



+ gz =0 



(28) 



= f 



is expressed by 



dx ° 2 dxdz 1 



3 *i 1 2 f 



(29) 



* ' z = 



Paying attention to order of e , we have following two 

 equations as to « and « z respectively. 



u2 a 2 *^ a^j 



— + ^ = 



g . 2 dz 



s dx 



(30) 



z = 



u 2 a *2 a* 2 u a | (h+tf /^a2 /^i\ 2 i 



ax 



az g ax 



I (Stf • (■£) • (4?) I 



u 3<*>i \ a /u 2 a i ^ 

 t + ar 



g ox 



5 a /u* d *i d *i\( 



(31) 



z = 



Equation (31), which is the second order term of the free' 

 surface condition, can be written as 



y2 d 2 <*> 2 ^*2 



= ■yi(x.y) 



(32) 



700 



