Question: A viscous fluid flows steadily (no time dependence) in the z direction, with the flow confined between two plates that are parallel to the x-z

A viscous fluid flows steadily (no time dependence) in the z direction, with the flow confined between two plates that are parallel to the x-z plane and are separated by a distance 2a. Show that the flow’s velocity field is

Vz= N || dP a dz 2n [-9)]. a (13.82a)

and the mass flow rate (the discharge) per unit width of the plates is

Here dP/dz (which is negative) is the pressure gradient along the direction of flow.

Vz= N || dP a dz 2n [-9)]. a (13.82a)

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