The modeling of various types of free surface flow is presented, ranging from incompressible Newtonian flows, to non-Newtonian viscous ice flows. A numerical method for the simulation of such flows that relies on an Eulerian approach based on the volume-of-fluid formulation is advocated. A

With the development of microfabrication technologies, microdevices are becoming more and more important to engineers examining microscale systems, especially those for chemical or biological analysis. Simulation of fluid flows through various microdevices will facilitate engineers to derive better design for controlling and handling fluid flows through microdevices. Present paper presents a nu...

The aim of this study is to investigate the effect of boundary conditions on the accuracy and stability of the numerical solution of fluid flows in the context of single relaxation time Lattice Boltzmann method (SRT-LBM). The fluid flows are simulated using regularized, no-slip, Zou-He and bounce back boundary conditions for straight surfaces in a lid driven cavity and the two-dimensional flow ...

An ion-exchange-resin-based microfluidic pump is introduced that utilizes trace amounts of ions to generate fluid flows. We show experimentally that our pump operates in almost deionized water for periods exceeding 24 h and induces fluid flows of μm s-1 over hundreds of μm. This flow displays a far-field, power-law decay which is characteristic of two-dimensional (2D) flow when the system is st...

A similarity parameter for quasi-steady fluid flows advancing into horizontal capillary channels is presented. This parameter, which may be used to scale propellant feeding rates in microthrusters, can be interpreted as the ratio of the average fluid velocity in the capillary channel to a characteristic velocity of quasi-steady capillary flows. It allows collapsing a large data set of previousl...

We describe the Hamiltonian structures, including the Poisson brackets and Hamiltonians, for free boundary problems for incompressible fluid flows with vorticity. The Hamiltonian structure is used to obtain variational principles for stationary gravity waves both for irrotational flows as well as flows with vorticity.

The paper is devoted to discrete optimization of the viscous heatconducting fluid flows. In the problem under consideration we want to create a flow with desired properties using optimal heating or cooling on some boundary sections. Optimal control approach reduces this problem to the constrained minimization. In this case the cost functional describes the objectives, mathematical model is the ...

where T is the stress tensor, p the hydrostatic pressure, S the extra-stress tensor, A the first RivlinEricksen tensor and μ the dynamic viscosity. Many common fluids show this “Newtonian” behavior and in fact the whole discipline of classical fluid mechanics is based upon this equation. However, the constitutive equation (1) does not show any of the normal stress effects or relaxation phenomen...

In low-collisionality plasmas, anisotropic heat conduction due to a magnetic field leads to buoyancy instabilities for any nonzero temperature gradient. We study analogous instabilities in degenerate collisional plasmas, i.e., when the electron collision frequency is large compared to the electron cyclotron frequency. Although heat conduction is nearly isotropic in this limit, the small residua...