We have investigated low Reynolds number flow past single dissipative-particle-dynamics particles (point centers of repulsion), their clusters, and their filaments using dissipative-particle-dynamics (DPD) simulations. The objective of our study was to verify whether DPD particles immersed in a sea of DPD particles behave like Langevin particles suspended in a continuous Newtonian fluid solvent...

In this paper, we consider a model equation for the Navier--Stokes strain equation. This has same identity enstrophy growth and number of regularity criteria as full Navier-Stokes equation, is also an evolution on constraint space. We prove finite-time blowup which shows that space are not sufficient their own to guarantee global Navier-Stokes. The mechanism self-amplification strain, consisten...

We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number and the Péclet number. We consider general equations of state and we give an application for the low Mach number limit combustion problem introduced by Majda in [18].

Upwind schemes for the Euler and Navier-Stokes equations may be broadly classified into two distinct classes: those based directly on the macroscopic Navier-Stokes equations and those based indirectly on the Navier-Stokes equations via the Boltzmann equation. The former, conventional approach represents the majority of current research. However, recently gas-kinetic methods have gained attentio...

We formulate some conditions when non-uniqueness of approximate solutions of the stationary Navier-Stokes equations occurs. Introduction. In this paper we will be concerned with the stationary Navier-Stokes equations for incompressible liquid in a bounded domain in Rn (n ∈ {2, 3}). Since a long time, it has been known that there exists a weak solution of this problem. For example, general exist...

Navier-Stokes equation. The expression is the nonlinear part of the equation and features in the approximation of the flow’s Reynold’s number (see Remarks 5.2(3), on page 721 of [2]). In other words, we discretize the linearized , non-homogeneous Navier-Stokes problem, representing the 3-D slow flow of a fluid. A typical example of a slow Navier-Stokes fluid flow is ground water through an aqui...

To characterize nontrivial boundary conditions of a liquid flowing past a solid, the slip length is commonly used as a measure. From the profile of a retracting liquid front (e.g., measured with atomic force microscopy), the slip length can be extracted with the help of a Stokes model for a thin liquid film dewetting from a solid substrate. Specifically, we use a lubrication model derived from ...

For increasingly rarefied flowfields, the predictions from continuum formulation, such as the Navier–Stokes equations lose accuracy. These inaccuracies are attributed primarily to the linear approximations of the stress and heat flux terms in the Navier– Stokes equations. The inclusion of higher order terms, such as Burnett, or high-order moment equations, could improve the predictive capabilit...

We describe Lagrangian measurements of water droplets in grid generated wind tunnel turbulence at a Taylor Reynolds number of R(lambda)=250 and an average Stokes number (St) of approximately 0.1. The inertial particles are tracked by a high speed camera moving along the side of the tunnel at the mean flow speed. The standardized acceleration probability density functions of the particles have s...