Appendix D: Green’s Function for Periodic Pipe Flow
The Navier–Stokes equations governing the flow of a single incompressible fluid contain the pressure gradient as the local effect of the surface force per unit area. It is straightforward to derive the Poisson pde for the pressure and the associated boundary conditions. The Green’s function is one of the methods to solve the Poisson pde for the pressure and thus eliminate the pressure from the Navier–Stokes equations.
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