ABSTRACT

Particle in a Quiescent Fluid . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.8.3 Drag on a Particle in a Reservoir . . . . . . . . . . . . . . . . . . . . . . . 20

When the Reynolds and Stokes numbers are small (Re 1 and St 1), the inertia terms can be neglected in the Navier-Stokes equations. We then obtain the Stokes equations which are linear. This linearity has some important consequences regarding the dynamics of the flow as shown in this chapter.