Derivation of Newton's Law of Gravitation Based on a Fluid Mechanical Singularity Model of Particles

The motive of this paper is to seek a mechanism of gravitational phenomena. It is shown that the forces between sources or sinks immersed in ideal fluids are coincide with the inverse-square-law of gravitation. Based on the hypothesis that the space is filled with a kind of ideal fluid which may be called aether, tao or apeiron and introducing the concept of monad, a sink flow model of particles is set up. Thus, the inverse-square-law of gravitation is derived by methods of hydrodynamics. Further, the equations of gravitational field of continuously distributed particles and the equivalence of inertial mass and gravitational mass are also derived. As a byproduct, it is shown that there exists a universal damping force exerted on each particle