In this paper we critically discuss the recent paper gr-qc/0412001 by Ciufolini about the impact of the secular variations J̇l of the even zonal harmonic coefficients of the Newtonian multipolar expansion of the terrestrial gravitational field on the performed tests aimed at the detection of the post-Newtonian gravitomagnetic Lense-Thirring effect in the gravitational field of the Earth with the...

Biological microorganisms swim with flagella and cilia that execute nonreciprocal motions for low Reynolds number (Re) propulsion in viscous fluids. This symmetry requirement is a consequence of Purcell's scallop theorem, which complicates the actuation scheme needed by microswimmers. However, most biomedically important fluids are non-Newtonian where the scallop theorem no longer holds. It sho...

We investigate the flow patterns of Newtonian and viscoelastic fluids in microchannels containing bifurcations. The Newtonian fluid used as a reference is de-ionized water, while the non-Newtonian fluid used in the experiments has a shear rheology similar to that of human blood. The geometrical shape of the channels used reproduce bifurcating vessels, typically encountered in microcirculation n...

In this essay, I examine the curved spacetime formulation of Newtonian gravity known as Newton–Cartan gravity and compare it with flat spacetime formulations. Two versions of Newton–Cartan gravity can be identified in the physics literature—a ‘‘weak’’ version and a ‘‘strong’’ version. The strong version has a constrained Hamiltonian formulation and consequently a well-defined gauge structure, w...

We compare the performances of the templates defined by three different types of approaches: traditional post-Newtonian templates (Taylor-approximants), “resummed” post-Newtonian templates assuming the adiabatic approximation and stopping before the plunge (P-approximants), and further “resummed” post-Newtonian templates going beyond the adiabatic approximation and incorporating the plunge with...

Mixing is a common process in food industry, and in particular it is interesting to develop optimal mixers in order maximize fluid mixing and minimize energy consumption by reducing the viscous dissipation effects. Although many studies and results had been presented in literature for both batch and static mixers (Rauline et al. 2000 and Mutsakis et al. 1986 for a review) the lack of a develope...

We continue our investigations of the magnetorotational collapse of stellar cores discussing simulations performed with a modified Newtonian gravitational potential that mimics general relativistic effects. The approximate TOV gravitational potential used in our simulations catches several basic features of fully relativistic simulations quite well. In particular, it is able to correctly reprod...

The growth rate of fingers of a Newtonian fluid can be modeled by a power law dependence on time. In this experiment, we examine whether the model can be adapted to describe a fluid with changing viscosity. We provide two possible interpretations. For PVA and a PVA/glycerol solution, we show that by assuming a constant exponent, the changing behavior of the fluid can be captured by a coefficien...

Given a Newtonian coalgebra we associate to it a chain complex. The homology groups of this Newtonian chain complex are computed for two important Newtonian coalgebras arising in the study of flag vectors of polytopes: R〈a,b〉 and R〈c,d〉. The homology of R〈a,b〉 corresponds to the homology of the boundary of the n-crosspolytope. In contrast, the homology of R〈c,d〉 depends on the characteristic of...