Page 369 - Introduction to Continuum Mechanics

Newtonian Viscous Fluid 353

Example 6.3.3

A tank containing a homogeneous fluid moves horizontally to the right with a constant
acceleration a (Fig. 6.3), (a) find the angle 6 of the inclination of the free surface and (b) find
the pressure at any point P inside the fluid.

Fig. 6.3

Solution, (a) Withaj = a, a 2 = #3 = 0, BI = B 2 = 0 and #3 = g, the equations of motion,
Eqs. (6.3.6) become