A Viscous öf Viscosity Pa-s and nsity 884 kg/m3 is dragged by a rigid flat surface that moves ward with speed V, as shown. The velocity profile in the fluid layer of the form, x)= ! pg (x² – 2hx) + V nd the minimum speed V for which the entire fluid layer moves

Elements Of Electromagnetics
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A viscous fluid of viscosity 2.48 Pa-s and
density 884 kg/m³ is dragged by a rigid flat surface that moves
upward with speed V, as shown. The velocity profile in the fluid layer
is of the form,
pg
v(x) = (x? – 2hx) + V
Find the minimum speed V for which the entire fluid layer moves
upward. What are the minimum and maximum values of the shear
stress in the layer? Assume the flow to be incompressible and fully
developed.
5 mm
Transcribed Image Text:A viscous fluid of viscosity 2.48 Pa-s and density 884 kg/m³ is dragged by a rigid flat surface that moves upward with speed V, as shown. The velocity profile in the fluid layer is of the form, pg v(x) = (x? – 2hx) + V Find the minimum speed V for which the entire fluid layer moves upward. What are the minimum and maximum values of the shear stress in the layer? Assume the flow to be incompressible and fully developed. 5 mm
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