A very large plate, placed in a gap of fixed two infinite planes, is pulled up with a force F and with a constant speed V as shown in the figure. On the left and right sides of the plate there are two different fluids. The side area of the plate is A and thickness of the plate is 0.1t. Weight of the plate is W. Distance between the left plane and the plate is x. The gap between two infinite plates is h=1.1t. Ratio of viscosities of the fluids is 42 = 4. Determine minimum force that can pull up the plate with constant speed V in terms of V, A, , t and W? Neglect pressure changes and assume viscous flow. F Plate

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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O a. (9VAµ1 + Wt)/t
b. (4V²Aµ + Wt²)/t?
O c. (8VAH1 + Wt)/t
O d. (VA(4µ1+1) + Wt)/t
(8VAµ – Wt)/t
е.
Transcribed Image Text:O a. (9VAµ1 + Wt)/t b. (4V²Aµ + Wt²)/t? O c. (8VAH1 + Wt)/t O d. (VA(4µ1+1) + Wt)/t (8VAµ – Wt)/t е.
A very large plate, placed in a gap of fixed two infinite planes, is pulled up with a force F and with
a constant speed V as shown in the figure. On the left and right sides of the plate there are two
different fluids. The side area of the plate is A and thickness of the plate is 0.1t. Weight of the
plate is W. Distance between the left plane and the plate is x. The gap between two infinite plates
is h=1.1t. Ratio of viscosities of the fluids is 22 = 4. Determine minimum force that can pull
up the plate with constant speed V in terms of V, A, , t and W? Neglect pressure changes and
assume viscous flow.
F
Plate
fluid 1
fluid 2
= 4
h=1.1t
+0.1t
Transcribed Image Text:A very large plate, placed in a gap of fixed two infinite planes, is pulled up with a force F and with a constant speed V as shown in the figure. On the left and right sides of the plate there are two different fluids. The side area of the plate is A and thickness of the plate is 0.1t. Weight of the plate is W. Distance between the left plane and the plate is x. The gap between two infinite plates is h=1.1t. Ratio of viscosities of the fluids is 22 = 4. Determine minimum force that can pull up the plate with constant speed V in terms of V, A, , t and W? Neglect pressure changes and assume viscous flow. F Plate fluid 1 fluid 2 = 4 h=1.1t +0.1t
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