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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 Triangular Pipes Consider a pipe as shown in Figure 8 whose cross section is an equilateral triangle. The equation of the section is given as
Assuming
Then
Figure 8. A triangular pipe subject to a constant pressure gradient. Thus,
Hence,
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