Velocity domain and volume fraction distribution of heavy microparticles in low reynolds number flow in microchannel

References

• Gravesen, P., Branebjerg, J., and Jensen, O.S. (1993) Microfluidics-a review. J. Micromech. Microeng., 3(4): 168.
   Google Scholar
• Stone, H.A. and Kim, S. (2001) Microfluidics: basic issues, applications, and challenges. AIChE J., 47(6): 1250–1254.
   Web of Science ®Google Scholar
• Van Dinther, A., Schroën, C.G.P.H., Vergeldt, F.J., van der Sman, R.G.M., and Boom, R.M. (2012) Suspension flow in microfluidic devices—A review of experimental techniques focussing on concentration and velocity gradients. Adv. Colloid Interface Sci., 173: 23–34.
   PubMed Web of Science ®Google Scholar
• Miller, R.M., Singh, J.P., and Morris, J.F. (2009) Suspension flow modeling for general geometries. Chem. Eng. Sci., 64(22): 4597–4610.
   Web of Science ®Google Scholar
• Kim, Y.W. and Yoo, J.Y. (2012) Transport of solid particles in microfluidic channels. Opt. Lasers Eng., 50(1): 87–98.
   Web of Science ®Google Scholar
• Kandlikar, S., Garimella, S., Li, D., Colin, S., King, Michael R. (2005) Heat Transfer and Fluid Flow in Minichannels and Microchannels. Great Britain: Elsevier.
   Google Scholar
• Dario, E., Tadrist, L., and Passos, J. (2013) Review on two-phase flow distribution in parallel channels with macro and micro hydraulic diameters: main results, analyses, trends. Appl. Therm. Eng., 59(1): 316–335.
   Web of Science ®Google Scholar
• Moharana, M.K. and Khandekar, S. (2012) Effect of channel shape on axial back conduction in the solid substrate of microchannels. Proceedings of the 3rd European Conference on Microfluidics-Microfluidics, December 3-5, Heidelberg, Germany.
   Google Scholar
• Lorentz, H. (1986) A general theorem concerning the motion of a viscous fluid and a few consequences derived from it, Verl. K011. Acad. Wei. Am. si, 5: 1–23.
   Google Scholar
• Happel, J. and Brenner, H. (1983) Low Reynolds Number Hydrodynamics: with Special Applications to Particulate Media. Vol. 1. Springer Science & Business Media, Martinus, Nijhoff, Dordrecht.
   Google Scholar
• Ganatos, P., Weinbaum, S., and Pfeffer, R. (1980) A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 1. Perpendicular motion. J. Fluid Mech., 99(04): 739–753.
   Web of Science ®Google Scholar
• Ganatos, P., Weinbaum, S., and Pfeffer, R. (1982) Gravitational and zero-drag motion of a sphere of arbitrary size in an inclined channel at low Reynolds number. J. Fluid Mech., 124: 27–43.
   Web of Science ®Google Scholar
• Staben, M.E., Zinchenko, A.Z., and Davis, R.H. (2003) Motion of a particle between two parallel plane walls in low-Reynolds-number Poiseuille flow. Phys. Fluids (1994-present), 15(6): 1711–1733.
   Web of Science ®Google Scholar
• You, C., Li, G.H., Qi, H.Y., and Xu, X.C. (2004) Motion of micro-particles in channel flow. Atmos. Environ., 38(11), 1559–1565.
   Web of Science ®Google Scholar
• Silva, G., Leal, N., and Semiao, V. (2008) Micro-PIV and CFD characterization of flows in a microchannel: velocity profiles, surface roughness and Poiseuille numbers. Int. J. Heat Fluid Flow, 29(4): 1211–1220.
   Web of Science ®Google Scholar
• Nikoubashman, A., Likos, C.N., and Kahl, G. (2013) Computer simulations of colloidal particles under flow in microfluidic channels. Soft Matter, 9(9): 2603–2613.
   Web of Science ®Google Scholar
• Razaghi, R. and Saidi, M.H. (2016) Transportation and settling distribution of micro-particles in low-reynolds-number poiseuille flow in microchannel. J. Dispersion Sci. Technol., 37(4): 582–594.
   Web of Science ®Google Scholar
• Razaghi, R. and Saidi, M.H. (2016) Experimental investigation of drag and lift forces on micro-particles in low-reynolds-number poiseuille flow in microchannel. J. Dispersion Sci. Technol., (just-accepted).
   Google Scholar
• Zabetian, M., Saidi, M.S., Saidi, M.H., and Shafii, M.B. (2011) Thermal Interaction of Laser Beam with Particulate Flow in Mini-Channels. in ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ICNMM June 19–22, 2011, Edmonton, Alberta, Canada: American Society of Mechanical Engineers.
   Google Scholar
• Zabetian, M., Saidi, M.H., Saidi, M.S., and Shafii, M.B. (2014) Modeling of laser thermal and hydrodynamic effects on a dilute suspension of micro-particles in water. J. Mech. Sci. Technol., 28(3): 1017–1026.
   Web of Science ®Google Scholar
• Zhang, J., Williams, P.S., Myers, M.N., and Giddings, J.C. (1994) Separation of cells and cell-sized particles by continuous SPLITT fractionation using hydrodynamic lift forces. Sep. Sci. Technol., 29(18): 2493–2522.
   Web of Science ®Google Scholar
• Zabetian, M., Shaffi, M.B., Saidi, M.H., Saidi, M.S., and Rohani, R. (2014) A new experimental approach to investigate the induced force and velocity fields on a particulate manipulation mechanism. Sci. Iranica, 21(2), 414–424.
   Web of Science ®Google Scholar
• Zivkovic, V., Zerna, P., Alwahabi, Z.T., and Biggs, M.J. (2013) A pressure drop correlation for low Reynolds number Newtonian flows through a rectangular orifice in a similarly shaped micro-channel. Chem. Eng. Res. Des., 91(1): 1–6.
   Web of Science ®Google Scholar
• Uhlmann, M. and Dušek, J. (2014) The motion of a single heavy sphere in ambient fluid: a benchmark for interface-resolved particulate flow simulations with significant relative velocities. Int. J. Multiphase Flow, 59: 221–243.
   Web of Science ®Google Scholar
• Balakin, B.V., Hoffmann, A.C., Kosinski, P., and Rhyne, L.D. (2010) Eulerian-eulerian CFD model for the sedimentation of spherical particles in suspension with high particle concentrations. Eng. Appl. Comput. Fluid Mech., 4(1): 116–126.
   Web of Science ®Google Scholar
• Syamlal, M. and Gidaspow, D. (1985) Hydrodynamics of fluidization: prediction of wall to bed heat transfer coefficients. AIChE J., 31(1): 127–135.
   Web of Science ®Google Scholar
• Kulkarni, P.M. and Morris, J.F. (2008) Suspension properties at finite Reynolds number from simulated shear flow. Phys. Fluids (1994-present), 20(4): 040602.
   Google Scholar
• Brody, J.P., Yager, P., Goldstein, R.E., and Austin, R.H. (1996) Biotechnology at low Reynolds numbers. Biophys. J., 71(6): 3430–3441.
   PubMed Web of Science ®Google Scholar