...A. Tamayol; K. Hooman Closed form solutions are presented for fully developed pressure driven slip-flow in straight microchannels of uniform noncircular cross-sections. To achieve this goal, starting from the general solution of the Poisson’s equation in the cylindrical coordinate, a least-squares...

... simulation microchannel flow micropumps numerical analysis Poisson equation 19 08 2010 12 04 2011 31 05 2011 31 05 2011 2011 American Society of Mechanical Engineers ...

...A. Tamayol; M. Bahrami In this study, fully developed flow parallel to ordered fibers is investigated analytically. The considered fibrous media are made up of in-line (square), staggered, and hexagonal arrays of cylinders. Starting from the general solution of Poisson’s equation, compact...

... by numerically solving the Poisson equation, the Nernst–Planck equation, and the Navier–Stokes equations, simultaneously. A numerical method based on the pressure correction iterative algorithm ( SIMPLE ) is adopted to compute the flow field and mole fraction of the ions. The potential patch induces a strong...

...Hai-Ping Hu; Rong-Hua Yeh This paper presents a study of the laminar flow in a channel with longitudinal moving bars arrayed along the channel width. The governing equations describing the fluid, which flows along the direction of the bar’s length, are expressed with double Poisson equations...

... is considered. Introducing a relative velocity, the difference between the bulk flow and the boundary velocities, the axial momentum reduces to Poisson’s equation with homogeneous boundary condition. Square root of area is selected as the characteristic length scale. The model of Bahrami et al. (2006, “Pressure...

... electrical current in a flat microchannel with and without fluid reservoirs. The modified Navier–Stokes equations as well as a Poisson equation for the distribution of electric potential and the Nernst–Planck equations for the distribution of charge densities are solved for the steady flow of a Newtonian...

... − ξ 3 ) 2 ) d ξ 2 This is the general result used to calculate the instantaneous wall pressure fluctuations for a given source field. The pressure fluctuations in an incompressible flow are governed by a Poisson equation which can be derived from the Navier-Stokes equations...

... error analysis mesh generation Poisson equation computational fluid dynamics finite difference methods finite volume methods convergence of numerical methods convection diffusion Error Transport Equation Single Grid Error Estimator Discretization Error Numerical Uncertainty...

... equations was based on the projection method with a non-staggered grid. We improved the treatment of the convection terms and the interpolation method that was used to obtain the intermediate volume flux defined on the cell faces. We also improved the solver for the pressure Poisson equations...

... Fourier transformation (FFT) method and a conventional iteration method were used in solving the Poisson equation. The predicted distributions of indoor air velocity, temperature, and contaminant concentrations show that the three subgrid-scale models can produce acceptable results for indoor environment...