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The velocity field for a plane source located distance h = 1m above an infinite wall aligned along the x axis is given by
where q = 2 m3/s/m. The fluid density is 1000 kg/m3 and body forces are negligible. Derive expressions for the velocity and acceleration of a fluid particle that moves along the wall, and plot from x = 0 to x = + 10h. Verify that the velocity and acceleration normal to the wall are zero. Plot the pressure gradient ∂p/∂x along the wall. Is the pressure gradient along the wall adverse (does it oppose fluid motion) or not?
P6.6
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Fox and McDonald's Introduction to Fluid Mechanics
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