A large horizontal plate with finite thickness is located between two infinite walls, with two different fluids on each side. The viscosity of the fluid on the top of the plate is twice that of the fluid on the bottom of the plate. If the plate is pulled through the gap at a velocity (V) of 0.5 m/s, the resultant force on 1 m² of the plate due to the viscous shear on both sides is 30 N. The distance between the two infinite walls (h) is 0.10 m. Neglect all end effects, assume viscous flow and a linear velocity profile for the fluids. < h Top Wall Top Fluid Bottom Fluid Bottom Wall (a) Calculate the dynamic viscosities of the two fluids, assuming they are Newtonian. (b) If the fluids were heated, would you expect the shear stress to go up or down? Why? V
A large horizontal plate with finite thickness is located between two infinite walls, with two different fluids on each side. The viscosity of the fluid on the top of the plate is twice that of the fluid on the bottom of the plate. If the plate is pulled through the gap at a velocity (V) of 0.5 m/s, the resultant force on 1 m² of the plate due to the viscous shear on both sides is 30 N. The distance between the two infinite walls (h) is 0.10 m. Neglect all end effects, assume viscous flow and a linear velocity profile for the fluids. < h Top Wall Top Fluid Bottom Fluid Bottom Wall (a) Calculate the dynamic viscosities of the two fluids, assuming they are Newtonian. (b) If the fluids were heated, would you expect the shear stress to go up or down? Why? V
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A large horizontal plate with finite thickness is located
between two infinite walls, with two different fluids on
each side. The viscosity of the fluid on the top of the
plate is twice that of the fluid on the bottom of the
plate. If the plate is pulled through the gap at a velocity
(V) of 0.5 m/s, the resultant force on 1 m² of the plate
due to the viscous shear on both sides is 30 N. The
distance between the two infinite walls (h) is 0.10 m.
Neglect all end effects, assume viscous flow and a
linear velocity profile for the fluids.
<
Top Wall
Top Fluid
Bottom Fluid
Bottom Wall
(a) Calculate the dynamic viscosities of the two fluids, assuming they are Newtonian.
(b) If the fluids were heated, would you expect the shear stress to go up or down? Why?
V
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