Post-Newtonian expansions of the Brill-Lindquist and Misner-Lindquist solutions of the timesymmetric two-black-hole initial value problem are derived. The static Hamiltonians related to the expanded solutions, after identifying the bare masses in both solutions, are found to differ from each other at the third post-Newtonian approximation. By shifting the position variables of the black holes t...

in this paper, changes of casson non-newtonian fluid velocity profile, for different distribution of porosity, have been investigated. for distribution of porosity, fixed, radial and exponential variations has been considered. for all three states, brinkman model has been used as momentum equation. since the casson fluid is a good model for blood, this analysis can be used in studying about cho...

In this paper, 3D particle focusing in a straight channel with asymmetrical expansion-contraction cavity arrays (ECCA channel) is achieved by exploiting the dean-flow-coupled elasto-inertial effects. First, the mechanism of particle focusing in both Newtonian and non-Newtonian fluids was introduced. Then particle focusing was demonstrated experimentally in this channel with Newtonian and non-Ne...

We consider two-dimensional stochastic differential equations, describing the motion of a slowly and periodically forced overdamped particle in double-well potential, subjected to weak additive noise. give sharp asymptotics Eyring-Kramers type for expected transition time from one potential well other one. Our results cover range forcing frequencies that are large with respect maximal rate betw...

The stationary flow of blood in a two-dimensional model of the bifurcation of the human carotid artery is simulated numerically using a finite element method. The Reynolds number is taken as equal to 300, corresponding to the value during the end-diastolic phase of the heart cycle. As constitutive equations, the Newtonian model and the non-Newtonian power-law and Casson models are used. The cho...

We study the non–linear dynamics of self–gravitating irrotational dust in a general relativistic framework, using synchronous and comoving (i.e. Lagrangian) coordinates. All the equations are written in terms of a single tensor variable, the metric tensor of the spatial sections orthogonal to the fluid flow. This treatment allows an unambiguous expansion in inverse (even) powers of the speed of...

Recent studies in Jurkat T cells and in rat basophilic leukemia cells revealed an Mg(2+)-inhibited cation (MIC) channel that has electrophysiological properties similar to TRPM7 Eyring rate model expressed exogenously in mammalian cells. Here we compare the characteristics of several polyvalent cations and Mg(2+) to block monovalent MIC current from the outside. Putrescine, spermidine, spermine...

The experimentally measured bimolecular reaction rate constant, k(2), should in principle correlate with the theoretically calculated rate-limiting free energy barrier, ΔG(≠), through the Eyring equation, but it fails quite often to do so due to the inability of current computational methods to account in a precise manner for all the factors contributing to ΔG(≠). This is further aggravated by ...

in this study, effects of multi walled carbon nanotubes and temperature on rheological behavior of engine oil (10w40) have been examined. for this purpose, the experiments were carried out in the temperature range of 5-55°c for several suspensions with solid volume fractions of 0.025%, 0.05%, 0.1%, 0.25%, 0.5% and 0.75%. the viscosity of all samples was measured in the shear rate range of 666s-...