Laminar Flow in a Channel

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Two flat plates of infinite width are placed in parallel to form a channel. Laminar flows in such channels are also known as the Plane Poiseuille flow.  When flow fully develops, the velocity profile across the channel would be parabolic and the pressure drops linearly along the length of the channel. Analytic solution for laminar flow in such channels can be readily derived and available in several thermo-fluid textbooks. An infinitely wide channel is formed by two flat plates of length 0.5 m. The plates are placed in parallel, 2h = 0.2 m apart. The Reynolds number based on the channel height is kept at 1000. A parabolic velocity profile corresponding to the analytic expression is specified at the inlet. The correct solution would then be an unchanging velocity distribution in the axial direction with a pressure drop equal to that given by the analytical solution.

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