Analysis of the slip condition in magnetohydrodynamic (MHD) micropumps

Abstract In this paper, the consequences of considering fluid/wall slippage in magnetohydrodynamic (MHD) micropumps are explored by analytical and numerical calculations. One- and two-dimensional flow models commonly used to describe MHD micropumps, are revisited by assuming the slip condition in low-Hartmann-number flows. Different combinations of slip and no slip conditions at the walls of the micropump are investigated, and the influence of the slip length on the flow rate is analyzed.

[1]  Alex Roxin,et al.  Molecular mechanisms of liquid slip , 2008, Journal of Fluid Mechanics.

[2]  A. Seidel-Morgenstern,et al.  Electroosmotic flow phenomena in packed capillaries: From the interstitial velocities to intraparticle and boundary layer mass transfer , 2002 .

[3]  Albert van den Berg,et al.  A high current density DC magnetohydrodynamic (MHD) micropump. , 2005, Lab on a chip.

[4]  On Fluid/Wall Slippage , 2001, cond-mat/0112383.

[5]  A. A. Darhuber,et al.  Slip behavior in liquid films on surfaces of patterned wettability: comparison between continuum and molecular dynamics simulations. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Juan G. Santiago,et al.  A review of micropumps , 2004 .

[7]  Shizhi Qian,et al.  Magneto-Hydrodynamics Based Microfluidics. , 2009, Mechanics research communications.

[8]  G. Whitesides,et al.  Patterning electro-osmotic flow with patterned surface charge. , 2000, Physical review letters.

[9]  Shizhi Qian,et al.  Modeling RedOx-based magnetohydrodynamics in three-dimensional microfluidic channels , 2007 .

[10]  Jian-Bin Bao,et al.  Design and fabrication of microchannels for magnetohydrodynamic flow , 2003, Proceedings International Conference on MEMS, NANO and Smart Systems.

[11]  Haim H. Bau,et al.  MAGNETO-HYDRODYNAMIC (MHD) PUMP FABRICATED WITH CERAMIC TAPES , 2002 .

[12]  S. Smolentsev.  MHD duct flows under hydrodynamic “slip” condition , 2009 .

[13]  Shizhi Qian,et al.  Analytical Prediction of Flow Field in Magnetohydrodynamic-Based Microfluidic Devices , 2008 .

[14]  Jaesung Jang,et al.  Theoretical and experimental study of MHD (magnetohydrodynamic) micropump , 2000 .

[15]  Nam-Trung Nguyen,et al.  MEMS-Micropumps: A Review , 2002 .

[16]  Peter Woias,et al.  Micropumps—past, progress and future prospects , 2005 .

[17]  Dongqing Li.  Encyclopedia of Microfluidics and Nanofluidics , 2008 .

[18]  Jing Liu,et al.  Design of Practical Liquid Metal Cooling Device for Heat Dissipation of High Performance CPUs , 2010 .

[19]  Yu Xiang,et al.  A magneto-hydrodynamically controlled fluidic network , 2003 .

[20]  Ingrid Fritsch,et al.  Characterization and Pumping Redox Magnetohydrodynamics in a Microfluidic Channel , 2006 .

[21]  Sam Kassegne,et al.  Electroosmosis and thermal effects in magnetohydrodynamic (MHD) micropumps using 3D MHD equations , 2007 .

[22]  George S. Dulikravich,et al.  Magnetofluiddynamics in Channels and Containers , 2001 .

[23]  Wanjun Wang,et al.  LIGA fabrication and test of a DC type magnetohydrodynamic (MHD) micropump , 2000 .

[24]  Hsueh-Chia Chang,et al.  Nonlinear Smoluchowski slip velocity and micro-vortex generation , 2002, Journal of Fluid Mechanics.

[25]  W. Tian,et al.  Introduction to Microfluidics , 2008 .

[26]  Jing Liu,et al.  Heat-driven liquid metal cooling device for the thermal management of a computer chip , 2007 .

[27]  G. Karniadakis,et al.  Microflows and Nanoflows: Fundamentals and Simulation , 2001 .

[28]  Pei-Jen Wang,et al.  Simulation of two-dimensional fully developed laminar flow for a magneto-hydrodynamic (MHD) pump. , 2004, Biosensors & bioelectronics.

[29]  R. Peyret.  Spectral Methods for Incompressible Viscous Flow , 2002 .

[30]  Sam Kassegne,et al.  High-current density DC magenetohydrodynamics micropump with bubble isolation and release system , 2008 .

[31]  A. Lee,et al.  An AC magnetohydrodynamic micropump , 2000 .

[32]  Bumkyoo Choi,et al.  Development of the MHD micropump with mixing function , 2011 .

[33]  R Peyret,et al.  Spectral Methods for Incompressible Viscous Flow. Applied Mathematical Sciences, Vol 148 , 2003 .