Page 436 - Introduction to Continuum Mechanics

420 Newtonian Viscous Fluid

Fig.P6.5 Fig.P6.6

6.5. A glass of water moves vertically upward with a constant acceleration a. Find the pressure
at a point whose depth from the surface of the water is h.
6.6. A glass of water moves with a constant acceleration a in the direction shown in Fig.P6.5.
Find the pressure at the point A Take the atmospheric pressure to bep fl.

6.7. The slender U-tube shown in Fig.P6.6 is moving horizontally to the right with an accelera-
tion a. Determine the relation between a, / and h.
6.8. A liquid in a container rotates with a constant angular velocity a) about a vertical axis. Find
the shape of the liquid surface.
6.9. The slender U-tube rotates with an angular velocity co about the vertical axis shown in
Fig.P6.7. Find the relation between dh( = hi - HI ),o>, r^ and r^.

FJg.P6.7