Consider steady, incompressible, parallel, laminar flow of a viscous fluid falling between two infinite vertical walls (Fig.

Question:

Consider steady, incompressible, parallel, laminar flow of a viscous fluid falling between two infinite vertical walls (Fig. P9–91). The distance between the walls is h, and gravity acts in the negative z-direction (downward in the figure). There is no applied (forced) pressure driving the flow—the fluid falls by gravity alone. The pressure is constant everywhere in them flow field. Calculate the velocity field and sketch the velocity profile using appropriate nondimensionalized variables.

FIGURE P9–91