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Two options: 1) no pressure gradient; 2) pressure gradient. 1) no pressure gradient . 2) pressure gradient . . z. H. COUETTE FLOW. Constant Shear. Same for horizontally sheared flow. Also applies to the horizontal plane:. Other form for Poiseuille Flow. - PowerPoint PPT Presentation
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2
210zu
xp
Two options:
1) no pressure gradient;
2) pressure gradient
upgDtuD
2
Uzzu
Constant Shear
COUETTE FLOW
1) no pressure gradient
zH
Same for horizontally sheared flow
2) pressure gradient
zHzxpu
2
21
0xp
2
210yu
xp
21
2
21 cycyxpu
Also applies to the horizontal plane:
00@ uy 02 c
0@ uBy BcBxp
1
2
210
21
1B
xpc
yByxpu
2
21
yByxpu
2
21 0
xp
2
210zu
xp
21
2
21 czczxpu
00@ uz 02 c
0@
zuHz
110 cHxp
Other form for Poiseuille Flow
11 czxp
zu
HzzxpzH
xpz
xpu
211
21 2
Hzzxpu
21
0xp
COUETTE & POISEUILLE FLOW
zHzxpzu
2
21
0xp
COUETTE & POISEUILLE FLOW
zHzxpzu
21 2
0xp
COUETTE & POISEUILLE FLOW
zHzxpzu
2
21
0xp
Flow down a plane
2
2
sin0zug
00@ uz 02 c
0@
zuHz Hgc
sin1
z
x
H 212sin
2czczgu
Hzgzgu
sinsin2
2 zHzg 2sin
2