The control problem for linearized two-dimensional wall-bounded parallel shear flows is considered as a means of preventing the laminar-to-turbulent transition. The linearized Navier–Stokes equations are reduced to the Orr– Sommerfeld equation with wall-normal velocity actuation entering through the boundary conditions on the wall. An analysis of the work-energy balance is used to identify appr...

In this paper we discuss recent progress in using the Camassa-Holm equations to model turbulent flows. The Camassa-Holm equations, given their special geometric and physical properties, appear particularly well suited for studying turbulent flows. We identify the steady solution of the Camassa-Holm equation with the mean flow of the Reynolds equation and compare the results with empirical data ...

Gas flows encountered in micro/nano scale devices are often low speed and non-continuum. The Direct Simulation Monte Carlo (DSMC), a popular molecular based simulation technique for rarefied gas, has proven to be inefficient in dealing with low-speed gas flows. In this paper, we present the Octant Flux Splitting Information Preserving DSMC (OSIP-DSMC) method as an efficient DSMC method for micr...

There are many systems in different subjects such as industry, medicine, transport, social and others, can be discribed on their dynamic of flows. Nowadays models of flows consist of micro-and macro-models. In practice there is a problem of convertation from different levels of simulation. In the different articles author descriptes quasi cellular nets. Quasi cellular nets are new type of discr...

The ”reverse–dynamo” mechanism — the amplification/generation of fast plasma flows by micro scale (turbulent) magnetic fields via magneto–fluid coupling is recognized and explored. It is shown that macroscopic magnetic fields and flows are generated simultaneously and proportionately from microscopic fields and flows. The stronger the micro–scale driver, the stronger are the macro–scale product...

A spring model is applied to simulate the skeleton structure of the red blood cell (RBC) membrane and to study the red blood cell (RBC) rheology in microvessels. The biconcave RBC shape in static plasma and tank-treading behavior of single cell in shear flows have been successfully captured in this model. The behavior of the RBC in a Poiseuille flow and the lateral migration of the cells in a s...