Green’s Function for Axially Periodic Pipe Flow

Spatial Domain of definition; Scalar function spaces; Poisson pde for the disturbance pressure; Fourier transform of the Poisson pde and parity conditions for the modal form of scalar fields; Representation of the pressure; Solution of the BVP for the Complementary pressure \(p_h\) ; Green’s theorem and its applications; Solution of the Poisson pde for the disturbance pressure; Leray version of the Navier-Stokes pdes.