It is well known that highly elastic liquids can exhibit flow characteristics which are markedly different from those found in Newtonian liquids. Nowhere is this better seen than in the case of Contraction Flows, whether axisymmetric or planar. Figure 1 shows the phenomenon of ‘vortex enhancement’, where the corner vortex (which is present in Newtonian liquids) is increased in size, often in an...

We derive the evolution equations for the electric and magnetic parts of the Weyl tensor for cold dust from both general relativity and Newtonian gravity. In a locally inertial frame at rest in the fluid frame, the Newtonian equations agree with those of general relativity. We give explicit expressions for the electric and magnetic parts of the Weyl tensor in the Newtonian limit. In general, th...

The basic concepts and equations of Newtonian Cosmology are presented in the form necessary for the derivation and analysis of the averaged Navier-Stokes-Poisson equations. A particular attention is paid to the physical and cosmological hypotheses about the structure of Newtonian universes. The system of the Navier-StokesPoisson equations governing the cosmological dynamics of Newtonian univers...