4.68 D LEYO A layer of oil flows down a vertical plate as shown in Fig. P4.68 with a velocity of V = Vo(2h²x² – x)f and h are constants. (a) Show that the fluid sticks to the plate and that the shear stress at the edge of the layer (x = h) is zero. (b) De- termine the flowrate across surface AB. Assume the width of the plate is b. (Note: The velocity profile for laminar flow in a pipe has a similar shape. See Video V6.13.) where Ve Plate A - B Oil I Figure P4.68

Elements Of Electromagnetics
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Publisher:Sadiku, Matthew N. O.
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4.68 O re A layer of oil flows down a vertical plate as shown
in Fig. P4.68 with a velocity of V = V,(2h²x² – x)f`
and h are constants. (a) Show that the fluid sticks to the plate and
that the shear stress at the edge of the layer (x = h) is zero. (b) De-
termine the flowrate across surface AB. Assume the width of the
plate is b. (Note: The velocity profile for laminar flow in a pipe has
a similar shape. See Video V6.13.)
where Vo
Plate
Oil
I Figure P4.68
Transcribed Image Text:4.68 O re A layer of oil flows down a vertical plate as shown in Fig. P4.68 with a velocity of V = V,(2h²x² – x)f` and h are constants. (a) Show that the fluid sticks to the plate and that the shear stress at the edge of the layer (x = h) is zero. (b) De- termine the flowrate across surface AB. Assume the width of the plate is b. (Note: The velocity profile for laminar flow in a pipe has a similar shape. See Video V6.13.) where Vo Plate Oil I Figure P4.68
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