Microflows and Nanoflows: Fundamentals and Simulation

By G. Em Karniadakis, A. Beskok, N. Aluru, Chih-Ming Ho. 2001

1,442 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a3c9822f27e78c6d311482e15b112e74c38771e7

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Citations in the corpus

Electroosmotic flow of non-Newtonian fluid in microchannels (2009, background): “S ̨ˇ can be calculated locally at each node in the LBM s [20] ∑ (1) ̨ˇ = − 3 2 c2 v i=0 fi ci ̨ciˇ, (6)”
Implementation of on-site velocity boundary conditions for D3Q19 lattice Boltzmann simulations (2008, background): “Examples for possible applications are microfluidic devices [23], i.”
Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments (2010, background): “Flows in microfluidic devices usually involve small or ignorable inertial force, but dominant viscous, electro-kinetic and surface effects especially when the surface-to-volume ratio increases [354].”
A review on slip models for gas microflows (2012, background): “A brief introduction and review of the available slip models can be found in the literature (Karniadakis and Beskok 2002; Karniadakis et al. 2005; Barber and Emerson 2006; Dongari et al. 2007; Colin 2005; Cao et al. 2009).”
Knudsen’s Permeability Correction for Tight Porous Media (2011, background): “However, gas slippage in porous media and its effect on permeability was first addressed by Klinkenberg (1941) based on Knudt and Warburg (1875) study.”
A lattice Boltzmann algorithm for fluid–solid conjugate heat transfer (2007, background): “However such an interface condition brings much additional computational cost which is nearly unacceptably huge for classical CFD methods in complex geometries [9,11,12].”
Finite-size effects of diffusion coefficients computed from molecular dynamics: a review of what we have learned so far (2020, background): “Consequently, continuum variables such as viscosity, diffusivity, thermal conductivity obtained from constitutive equations become inaccurate [152,161,172].”
Viscous flow through microfabricated hyperbolic contractions (2007, background): “6 and 7) and the no-slip boundary condition were assumed to hold, a result that is well established for Newtonian fluid flows at these micrometer lengthscales (Whitesides and Stroock 2001; Karniadakis et al. 2005).”
A novel model for vibrations of nanotubes conveying nanoflow (2012, methodology): “All of these methods necessitate relatively large amounts of computational effort, cost and time [3].”
On dimensionless numbers (2008, unknown): “…and Silberzan, 2005, Bruus, 2008, Ehrfeld et al., 2000, Gad-el-Hak, 1999, Hessel et al., 2004, van Kampen, 1992, Karniadakis and Beskok, 2002, Karniadakis et al., 2005, Kockmann, 2006, Li, 2004, Madou, 2000, Maynard, 2008, Neto et al., 2005, Nguyen and Wereley, 2002, Slattery et al., 2004,…”
Analytical solution of mixed electro-osmotic/pressure driven flows of viscoelastic fluids in microchannels (2009, background): “A thorough review on various other aspects of electro-osmosis can be found in Karniadakis et al. [ 29 ].”
Radiative Convective Nanofluid Flow Past a Stretching/Shrinking Sheet with Slip Effects (2015, background): “In the slip region, the standard Navier–Stokes, energy, and concentration equations remain applicable by taking into account velocity slip, temperature slip, andmass slip at thewalls [25].”