4.63 A layer of oil flows down a vertical plate as shown in Fig. P4.63 with a velocity of V= (Vo/h²) (2hx - x) where V, 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) Determine 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.) INI X

Elements Of Electromagnetics
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4.63 A layer of oil flows down a vertical plate as shown in Fig.
P4.63 with a velocity of V = (Vo/h²) (2hx − ²) where V, 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) Determine
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.)
QUE
Plate
y
Figure P4.63
Oil
h
v(x)
---B
X
tu
5.
it
UL
of
ap
Wi
anc
Transcribed Image Text:4.63 A layer of oil flows down a vertical plate as shown in Fig. P4.63 with a velocity of V = (Vo/h²) (2hx − ²) where V, 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) Determine 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.) QUE Plate y Figure P4.63 Oil h v(x) ---B X tu 5. it UL of ap Wi anc
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