Repeat Prob. 9–106, but from a frame of reference rotating with the stirrer blades at angular velocity v.

Data from Problem 106

A stirrer mixes liquid chemicals in a large tank (Fig. P9–106). The free surface of the liquid is exposed to room air. Surface tension effects are negligible. Discuss the boundary conditions required to solve this problem. Specifically, what are the velocity boundary conditions in terms of cylindrical coordinates (r, θ, z) and velocity components (u_r, u_θ, u_z) at all surfaces, including the blades and the free surface? What pressure boundary conditions are appropriate for this flow field? Write mathematical equations for each boundary condition and discuss.

FIGURE P9–106

Transcribed Image Text:

Free surface P₂ μ D ZA P = Patm Rtank