Post on 14-May-2017
Learning objectives for lecture
State the criterion for the transition from laminar to turbulent �
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2
[
τyx +∂τyx
∂y
(
dy
2
)]
dx dz
[
τyx +∂τyx
∂y
(
−
dy
2
)]
dx dz
[
p +∂p
∂x
(
−
dx
2
)]
dy dz
[
p +∂p
∂x
(
dx
2
)]
dy dz
p, τyx
(“shell balance”) using the macroscopic equationsh
x
y
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4
p2πr dr
(
p +∂p
∂xdx
)
2πr dr
τrx2πr dx
(
τrx +dτrx
drdr
)
2π(r + dr) dx
p, τrx
h xr
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2R
In xexcept surface force term FSx vanish
annulus