Two plates are 10 cm apart, as shown in Figure. Initially, both plates and the fluid are still. At t = 0, the top plate is moved at a constant velocity of 8 cm/s. The equations governing the motions of the fluids are

And the following relationships hold true at the oil-water interface:

What is the velocity of the two fluid layers at t = 0.5, 1, and 1.5 s at distances x = 2, 4, 6, and 8 cm from the bottom plate? Note that μwater and μoil = 1 and 3 cp,respectively.

Transcribed Image Text:

a water a voil Hoil avoil = l water ax and