  We address the issues of the scattering of massless planar scalar waves by an
acoustic black hole in neo-Newtonian hydrodynamics. We then compute the
differential cross section through the use of the partial wave approach in the
neo-Newtonian theory which is a modification of the usual Newtonian theory that
correctly incorporates the effects of pressure. We mainly show that the
scattering of planar waves leads to a modified analogue Aharonov-Bohm effect
due to a nontrivial response of the parameters defining the equation of state.
