plälh A thin plate is separated from two fixed plates by viscous liquids u, and µz, respectively, as in Fig. P1.53. The plate spacings h and h2 are unequal, as shown. The contact area is A between the center plate and each fluid. (a) Assuming a linear velocity distribution in each fluid, derive the force F required to pull the plate at velocity V. (b) Is there a necessary relation between the two viscosi- ties, µ, and z?

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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plain water at
P1.53 A thin plate is separated from two fixed plates by very
boalviscous liquids u, and u2, respectively, as in Fig. P1.53.
The plate spacings hj and h2 are unequal, as shown. The
ab contact area is A between the center plate and each fluid.
(a) Assuming a linear velocity distribution in each fluid,
derive the force F required to pull the plate at velocity V.
(b) Is there a necessary relation between the two viscosi-
ties, u, and z?
Transcribed Image Text:plain water at P1.53 A thin plate is separated from two fixed plates by very boalviscous liquids u, and u2, respectively, as in Fig. P1.53. The plate spacings hj and h2 are unequal, as shown. The ab contact area is A between the center plate and each fluid. (a) Assuming a linear velocity distribution in each fluid, derive the force F required to pull the plate at velocity V. (b) Is there a necessary relation between the two viscosi- ties, u, and z?
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