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## Homework Statement

Problem is as shown in the picture.

The answer is meant to be a 4.59mm.

## Homework Equations

Tau=mu(du/dy)

## The Attempt at a Solution

Force (tau) acting on plate from both fluids is equal, as is velocity (du).

mu1 (du/dy1) = mu2 (du/dy2)

mu1/dy1 = mu2/dy2

(mu2/mu1) *y1 = y2

y1 + y2 + plate thickness = width

y1 + y2 + 0.7937 = 12.7 mm

By substituting in mu2/mu1 *y1 = y2 I obtain the answer y1 = 3.31 mm.

Any help is much appreciated