Unformatted text preview: 1. (Viscous stress — 25 pts) A thin plate of large area is placed midway in a small gap of height, h, ﬁlled with oil
having a viscosity #0. If the plate is pulled with a force, F, a constant velocity, V, results. Now a lighter oil of
viscosity ,Lt, is placed in the gap and it is found that the same force, F, will pull the plate at the same velocity, V,
ifthe plate is unsymmetrically placed in the gap but still parallel to the walls. Assume a linear velocity
distribution in the ﬂuid. Find the viscosity ,u, in terms of ,u,J , h and the distance to the nearer wall, a. Condition #1 Condition #2
} if h h/2 #0 h— a #1
F V
, a F, V
z+:0 ‘Ft'Fu‘ +‘thjLH ‘F: Fvg—yF—JL :ZFJI ,._, \/ V' 352734 T: PodLL d3 [1] ...
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 Spring '09
 Delplanque

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