A finite element model has been used in order to study the mixing process of species in a 100-microm-wide zigzag microchannel integrating a "Y" inlet junction. The distribution of the concentration was obtained by solving successively the Navier-Stokes equation and the diffusion-convection equation in the steady state form. Because of the large range of Reynolds numbers studied (1 < Re < 800), ...

We develop a variationally consistent eddy viscosity model, given by [18] for convection diffusion equation, for the Navier-Stokes equations. We also prove that the new model is equivalent to a variational multiscale method. The new method removes the restriction that the fluctuations are quasi-stationary. We then give a complete error analysis. The error analysis is optimal and uniform in Reyn...

This paper describes a novel approach in simulating laminar to turbulent transition by using two-equation models. The Total Stresses Limitation (TSL) concept is used to make the two-equation model capable of predicting high-Reynolds-number transitional ow. In order to handle the transition triggered by laminar separation at a low Reynolds number location, which commonly occurs in high speed ow,...

The paper examines the capability for numerical simulation of three-dimensional shock wave turbulent boundary layer interactions using the Reynolds-averaged Navier-Stokes equations. Two con gurations are considered, namely, the single and double n interactions. Numerical simulations were performed by an international group of researchers as part of an AGARD-sponsored study of capabilities for s...

Laminar two dimensional forced convective heat transfer of Al2O3 –water nanofluid in a horizontal microchannel has been studied numerically, considering axial conduction, viscous dissipation and variable properties effects. The existing criteria in the literature for considering viscous dissipation in energy equation are compared for different cases and the most proper one is applied for the re...

this paper describes the effects of induced magnetic field and partial slip on the peristaltic flow of a couple stress fluids in an asymmetric channel. the two dimensional equation of couple stress fluid are simplified by making the assumptions of long wave length and low reynolds number. the exact solutions of reduced momentum equation and magnetic force function have been computed in wave fra...