Question: The flow inside a channel, which is formed by two infinite flat parallel plates, displays a parabolic profile and is called plane Poiseulle flow. The

The flow inside a channel, which is formed by two infinite flat parallel plates, displays a parabolic profile and is called plane Poiseulle flow. The cross

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section of such a channel is shown in Fig.

1

(

)

Determine the equation of the velocity vector in this flow

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field, assuming that the flow is two

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dimensional. Hint: Try to fit a parabola to the velocity profile drawn in the image.

(

)

Compute the vorticity in the flow

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field. According to your result, does the vorticity increase as we move closer to the walls or farther away from them? Does this make sense intuitively?

1

(

)

At what locations is the vorticity zero? Why?

The flow inside a channel, which is formed by two

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