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| Viscous Flows | |
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| Navier-Stokes Equation, Vorticity, Stream Function | Exact Solutions | Drag on Spherical Particles | Creeping Flows | Nonspherical Particles | |
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Exact Solutions to the Navier-Stokes Equation Unsteady Parallel Flows (Plate Suddenly Set in Motion) Consider that special case of a viscous fluid near a wall that is set suddenly in motion as shown in Figure 1. The unsteady Navier-Stokes reduces to
Figure 1. Schematics of flow near a wall suddenly set in motion. The boundary conditions are:
The corresponding initial condition for the fluid that starts from rest is given as
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