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Keywords: Poisson equation
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Journal Articles
Article Type: Research Papers
J. Fluids Eng. September 2011, 133(9): 091202.
Published Online: September 8, 2011
...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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. May 2011, 133(5): 051102.
Published Online: May 31, 2011
... simulation microchannel flow micropumps numerical analysis Poisson equation 2011 American Society of Mechanical Engineers ...
Journal Articles
Article Type: Technical Briefs
J. Fluids Eng. November 2010, 132(11): 114502.
Published Online: November 3, 2010
...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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. April 2010, 132(4): 041103.
Published Online: April 15, 2010
... 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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. November 2009, 131(11): 111102.
Published Online: October 19, 2009
...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...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. March 2009, 131(3): 031201.
Published Online: February 5, 2009
... 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...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. October 2007, 129(10): 1346–1357.
Published Online: May 16, 2007
... 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...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. March 2006, 128(2): 216–222.
Published Online: August 19, 2005
... spectrum predictions are shown to be in good agreement with canonical data sets over a wide range of Reynolds numbers. 08 04 2005 19 08 2005 boundary layer turbulence pipe flow pipes Poisson equation Piping systems are subject to flow-induced vibration and noise through...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. September 2004, 126(5): 778–790.
Published Online: December 7, 2004
... Difference/Volume Methods,” submitted to Communications in Numerical Methods in Engineering . error analysis mesh generation Poisson equation computational fluid dynamics finite difference methods finite volume methods convergence of numerical methods convection diffusion Error...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. July 2004, 126(4): 578–585.
Published Online: September 10, 2004
... 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...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. September 2001, 123(3): 628–639.
Published Online: March 15, 2001
... 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...