in the current study, five different atomistic water models (awms) are implemented, in order to investigate the impact of awms treatment on the water velocity profile and density number. for this purpose, molecular dynamics simulation (mds) of poiseuille flow in a nano-channel is conducted. considered awms are spc/e, tip3p, tip4p, tip4pfq and tip5p. to assessment of the ability of each model in...

The problem of steady subcritical free surface flow past a submerged inclined step is considered. The asymptotic limit of small Froude number is treated, with particular emphasis on the effect that changing the angle of the step face has on the surface waves. As demonstrated by Chapman & Vanden-Broeck, (2006) Exponential asymptotics and gravity waves. J. Fluid Mech. 567, 299–326, the divergence...

In 1851, Stokes (in insert) calculated the friction force on a cylinder in oscillating motion, neglecting nonlinear term of Navier-Stokes equation, an approximation valid for vanishing values Reynolds number Re. Previous tests were performed with Re>0.1 and frequently Re>>1. We have measured oscillation macroscopic gravity pendulum. Our position detector submicrometer sensitivity enables us ...

We compute the absorption and emission energies and hence Stokes shifts of small diamondoids as a function of size using different theoretical approaches, including density-functional theory (DFT) and quantum Monte Carlo (QMC) calculations. The absorption spectra of these molecules are also investigated by time-dependent DFT and compared with experiment. We analyze the structural distortion and...

In the case of polynomial potentials all solutions to 1-D Schrödinger equation are entire functions totally determined by loci of their roots and their behaviour at infinity. In this paper a description of the first of the two properties is given for fundamental solutions for the high complex energy limit when the energy is quantized or not. In particular due to the fact that the limit consider...

Fluid mixing in small systems is difficult when the diffusion is a slow process compared to other relevant processes, and when the fluid dynamics is laminar, i.e., dominated by viscous forces. This is the prevailing situation in microfluidic systems. However, mixing is enhanced in chaotic flows. In this work we estimate and compute the mixing time in chaotic channel flows as tm = 1/(2σ) ln (Pe)...

We describe a method to compute veriied enclosures for solutions of the stationary Navier-Stokes equation in two-dimensional bounded domains. In order to obtain error bounds for numerical approximations , we use the theorem of Newton{Kantorovich. Therefore, we compute approximations for the stream function of the ow and upper bounds of the defect in H ?2 (); we determine an upper bound for the ...

In this paper, we derive a dispersion relation for sound waves in viscous and heat conducting fluids. particular (i.e. variation of speed with frequency) is shown to be second order magnitude, w.r.t. Knudsen numbers, as the Stokes [2] case, corresponding non-conductive fluid (Prandtl number P r = $\infty$). This formula completes classical attenuation called Stokes-Kirchhoff. We represent simpl...