Motion of a Perforated Solid in Liquid. 343 



-SW'^M^-'S)}*** 



[y { («-yi- + ^)^ + (two similar)] || 

 — - J ] ("— J"' + ~'i)^- +(two similar) | ^|rf.rrf</rf« 



+ 

 1 ^dl 



p dfdp 



+ 



— (v-zp + vr) ^ + {w-xq + i/p) ^~jdxdydz. 



Remembering that in this expression one factor of the 

 surface integral is zero at every point of S, we have, by 

 again applying Green's transformation to the volume integral, 



T _dVZ 



1_ dfdp 



+ w{p$m<j)d$ ^-Sac/oJJ mda} — v{p < \\ j 7i$d$—%K pander} 



+ r{p§(h - nx) <f>d$ - Z/cp$(lz - nx)da } 



-q{p§tmx-ly)$d&-^Kp§(mx-ly)d<T} . . (10) 

 Now, just as before, 



p W(lz-mx)$d$ = p {ft^tlcjidS 



JJJ W B* By By B* B« / 

 ^ 9 , BS 

 B^ B? 



"MI 



