[ \mu \nabla^2 \mathbfu = \nabla p, \quad \nabla \cdot \mathbfu = 0 ]
Find the velocity profile and pressure gradient as a function of time. advanced fluid mechanics problems and solutions
The term (p_\infty(t)) might be far-field pressure varying with time (e.g., acoustic wave). The solution exhibits a singular collapse. [ \mu \nabla^2 \mathbfu = \nabla p, \quad
Conformal mapping + Theodorsen’s theory. else (\dot\gamma = 0).
For a Bingham plastic, (\tau = \tau_0 + \mu_p \dot\gamma) when (\tau > \tau_0), else (\dot\gamma = 0).