[P1] It is known that the velocity distribution for the two-dimensional flow of a viscous incompressible fluid between parallel plates is parabolic, that is, ·[¹ -(19)²]· U= Uc height. X U where U is the centreline velocity and h is the half-channel с A. Determine the stream function if it exists. B. Determine the velocity potential if it exists.

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[P1] It is known that the velocity distribution for the two-dimensional flow of a
viscous incompressible fluid between parallel plates is parabolic, that is,
[¹-(19)²]
where Ue is the centreline velocity and h is the half-channel
U =
U
height.
U
A. Determine the stream function if it exists.
B. Determine the velocity potential if it exists.
Transcribed Image Text:[P1] It is known that the velocity distribution for the two-dimensional flow of a viscous incompressible fluid between parallel plates is parabolic, that is, [¹-(19)²] where Ue is the centreline velocity and h is the half-channel U = U height. U A. Determine the stream function if it exists. B. Determine the velocity potential if it exists.
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