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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 Flow in a Tube Consider flow in a circular tube subject to a step change in pressure as shown in Figure 4. The Navier-Stokes equation reduces to
Introducing dimensionless variables,
we find
Figure 4. Schematics of flow in a tube subject to step change in pressure. |
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