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By John C. Slattery (auth.)

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Sample text

The lower fluid and the dyed fluid are glycerol; the upper fluid is silicone oil (Dussan V. and Davis 1974, Figure 11). The arrows indicate the direction of motion of the common line. 9-13 ~. '" ~ § o ..... S ~. ~ (n '" ::l o (') 8.

The are lengths along these curves in the reference configuration will be denoted as Sx (1) and s" (2)' We should be able to leam about the local rate of defonnation of the surface by examining ~(dP(cr) dp(cr) ) - - . - - d s 1 ds 2 dS(l) dS(2) () () dt dv(cr) dp(cr) dp(cr) dv(cr) - - - · - - d s ds + - - · - - d s ds -dS(l) dS(2) (1) (2) dS(l) dS(2) (1) (2) (8-1) This can be simplified by noting that dv(cr). dp(cr) _ (av(cr) dyCl ) dS(l) dS(2) ayCl ds( 1 ) = (V (cr) • dp(cr) dS(2) v(cr). dp(cr) ) .

Finally, in Figure 9-8 (c), it made contact with the Plexiglas and in Figure 9-8 (d) appeared to be in contact with the Plexiglas. Although Figure 9-8 (e) showed no dye mark, it could be seen from above still in contact with the Plexiglas. ii) Two drops of glycerol, one transparent and the other dyed with food coloring, were placed side by side on asolid beers wax surface. 2 47 Motion of multiphase bodies (h) (a) . 9·9: (a) Two drops ot gtycerol on a oees wax surfaee. (b) After merging, there is only one drop, part of which is dyed.

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