We report measurements of effective viscosities in a near-critical pha
se separating binary mixture in the presence of a how field. Our exper
imental results suggest that the viscosity associated with a Bow-induc
ed quasi-stationary, two-phase structure obeys Onuki's formula, in whi
ch a delicate balance between shear and growing domains should be achi
eved, resulting in significantly extended domain structures in the flo
w direction. It is observed that the domains break up into spherical o
nes smaller in size than those in a quiescent mixture when the shear i
s turned off. This implies that the undulation associated with a tube-
like concentration domain could be suppressed by shear. (C) 1998 Publi
shed by Elsevier Science B.V.