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
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(60)
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The corresponding boundary condition is
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(61)
| Figure 6. An arbitrary cross-section pipe subject to a
constant pressure gradient.
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