Froblem III. Two flat plates are oriented parallel to and above a fixed lower-plate, as shown in Figure III. The top thick-plate, located at a distance b above the fixed plate, is pulled along with constant speed V2. The lower thin-plate is located at a distance cb above the fixed-plate, where 0

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Froblem III. Two flat plates are oriented parallel to and above a fixed lower-plate, as shown
im Figure III. The top thick-plate, located at a distance b above the fixed plate, is pulled along
with constant speed V2. The lower thin-plate is located at a distance cb above the fixed-plate,
where 0 <c <1. This plate moves with constant speed V1, which is determined by the viscous
shear forces imposed upon it. Fluid 2 above the thin-plate is twice as viscous as Fluid 1 below
it, which itself has a viscosity (u).
6,
thick-plate
V2
2 µ
Fluid 2
b
V1
thin-plate –
Fluid 1
cb
fixed-plate
Figure III
Question 11:
What equation relates the force (F) to the cross-sectional area (A) and shear stress (T) of the
top plate?
(a) F= T A?
(b) F = t | A
(C) F=Α/τ
(d F= t A
(e) none of the above
the
Question 12:4
What equation relates the shear stress on the upper surface of the thin plate (T top) to that on its
lower surface (T bottom )?
(а) Т ор
=2t bottom
(b) T top
=0.5T
%3D
bottom
T top
= T bottom
(d) T top = 2uT bottom
%3D
(e) none of the above
Transcribed Image Text:Froblem III. Two flat plates are oriented parallel to and above a fixed lower-plate, as shown im Figure III. The top thick-plate, located at a distance b above the fixed plate, is pulled along with constant speed V2. The lower thin-plate is located at a distance cb above the fixed-plate, where 0 <c <1. This plate moves with constant speed V1, which is determined by the viscous shear forces imposed upon it. Fluid 2 above the thin-plate is twice as viscous as Fluid 1 below it, which itself has a viscosity (u). 6, thick-plate V2 2 µ Fluid 2 b V1 thin-plate – Fluid 1 cb fixed-plate Figure III Question 11: What equation relates the force (F) to the cross-sectional area (A) and shear stress (T) of the top plate? (a) F= T A? (b) F = t | A (C) F=Α/τ (d F= t A (e) none of the above the Question 12:4 What equation relates the shear stress on the upper surface of the thin plate (T top) to that on its lower surface (T bottom )? (а) Т ор =2t bottom (b) T top =0.5T %3D bottom T top = T bottom (d) T top = 2uT bottom %3D (e) none of the above
For the bottom fluid 1, what equation relates the velocity gradient (du/dy) to the speed Vi of
Question 13:
the e bottom fluid 1, what equation relates the velocity gradient (du/dy) to the speed Vi of
the thin plate?
(a) du/dy = Vilcb
(b) du/dy = u V1*cb
(а)
(c) du/dy = u Vilcb
(d) du/dy
V1*cb
(е) попе оf the above
Question 14:
For Fluid 2, what equation relates the velocity gradient (du/dy) to the speed V2 of the top plate?
(a) du/dy = V2 lb
(b) du/dy = (V2- V1) / (b-cb)
(c) du/dy = u V2/ (b-cb)
(d) du/dy
%3D
%3D
V2*(b-cb)
(е) попе оf the above
Question 15: [
What equation relates the velocity on the top plate (V2) to the velocity on the lower thin plate
(V1)?
(a) (V1/V2)=c/ (c+1)
(b) (V1/V2)=3c / (c+1)
(c) (Vi/V2)=2c / (c-1)
(V1/V2)=2c / (c+1)
er ()
(e) none of the above
Transcribed Image Text:For the bottom fluid 1, what equation relates the velocity gradient (du/dy) to the speed Vi of Question 13: the e bottom fluid 1, what equation relates the velocity gradient (du/dy) to the speed Vi of the thin plate? (a) du/dy = Vilcb (b) du/dy = u V1*cb (а) (c) du/dy = u Vilcb (d) du/dy V1*cb (е) попе оf the above Question 14: For Fluid 2, what equation relates the velocity gradient (du/dy) to the speed V2 of the top plate? (a) du/dy = V2 lb (b) du/dy = (V2- V1) / (b-cb) (c) du/dy = u V2/ (b-cb) (d) du/dy %3D %3D V2*(b-cb) (е) попе оf the above Question 15: [ What equation relates the velocity on the top plate (V2) to the velocity on the lower thin plate (V1)? (a) (V1/V2)=c/ (c+1) (b) (V1/V2)=3c / (c+1) (c) (Vi/V2)=2c / (c-1) (V1/V2)=2c / (c+1) er () (e) none of the above
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