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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 Noncircular Pipe Flows Consider steady state viscous flows in a pipe with arbitrary cross-section under a constant pressure gradient as shown in Figure 6. The Navier-Stokes equation is given as
The corresponding boundary condition is
Figure 6. An arbitrary cross-section pipe subject to a constant pressure gradient. |
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