(0, 1, 0) is Consider a two-dimensional incompressible flow in the az plane: u = -ey x Vo, where e the unit vector perpendicular to the xz plane. Denote the two velocity components in the xz plane as u and w in the x, z directions, respectively. Write down the expressions for them in terms of p. If the function of o assumes = x2² calculate the values of u and w at the coordinate 2, z = 1. Ou= Ou= 86 əz > Ou=- Ou=- 86 əx 36 dz 86 315 W= - 7 W= W= 86 მე ap əz " Əø d' u = 4, w = -1 u = -1, w = 4 u = -4, w=1 მი W=- u= -1, w = -4 3 dz = -

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Consider a two-dimensional incompressible flow in the xz plane: u = - ey x Vo, where e
the unit vector perpendicular to the xz plane. Denote the two velocity components in the xz plane as u and
w in the x, z directions, respectively. Write down the expressions for them in terms of o. If the function of o
assumes = x2² calculate the values of u and w at the coordinate x = = 2, z = 1.
Ou=
Ou=
86
əz >
Ou=-
-
86
əx
W=
ap
dz
7
W=
W=
8p
Əz
ap
əz
"
ap
"
əI
u = 4, w = -1
u = -1, w = 4
u = −4, w = 1
86
0₂7
86
Ou=- W=- u= -1, w = -4
5
dr
=
Transcribed Image Text:(0, 1, 0) is Consider a two-dimensional incompressible flow in the xz plane: u = - ey x Vo, where e the unit vector perpendicular to the xz plane. Denote the two velocity components in the xz plane as u and w in the x, z directions, respectively. Write down the expressions for them in terms of o. If the function of o assumes = x2² calculate the values of u and w at the coordinate x = = 2, z = 1. Ou= Ou= 86 əz > Ou=- - 86 əx W= ap dz 7 W= W= 8p Əz ap əz " ap " əI u = 4, w = -1 u = -1, w = 4 u = −4, w = 1 86 0₂7 86 Ou=- W=- u= -1, w = -4 5 dr =
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