Through a very narrow gap of height h, a thin plate of large extent is pulled at a velocity V. On one side of the plate is oil of viscosity u, and on the other side oil of viscosity H,. Calculate the position of the plate so that (i) the shear force on the two sides of the plate is equal; (ii) the pull required to drag the plate is minimum. Assume linear velocity distribution in transverse direction.

Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter14: Sheet-pile Walls
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Through a very narrow gap of height h, a thin plate of large extent is pulled
at a velocity V. On one side of the plate is oil of viscosity u, and on the other side oil of viscosity H,.
Calculate the position of the plate so that (1) the shear force on the two sides of the plate is equal;
(ii) the pull required to drag the plate is minimum. Assume linear velocity distribution in transverse direction.
Transcribed Image Text:Through a very narrow gap of height h, a thin plate of large extent is pulled at a velocity V. On one side of the plate is oil of viscosity u, and on the other side oil of viscosity H,. Calculate the position of the plate so that (1) the shear force on the two sides of the plate is equal; (ii) the pull required to drag the plate is minimum. Assume linear velocity distribution in transverse direction.
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