Comparison of Wall Models for the Molecular Dynamics Simulation of Microflows

REFERENCES

• Koltay , P. , Birkle , G. , Steger , R. , Kuhn , H. , Mayer , M. , Sandmaier , H. and Zengerle , R. . Simulation of a Micro Dispenser Using Lumped Models . Proceedings of the International MEMS Workshop (I-MEMS) 2001 . 4–6 July , pp. 115 – 124 . Singapore
   Google Scholar
• Kadau , K. , Germann , T. , Hadjiconstantinou , N. , Lomdahl , P. , Dimonte , G. , Holian , B. and Alder , B. 2004 . Nanohydrodynamics Simulations: An Atomistic View of the Rayleigh-Taylor Instability . Proceedings of the National Academy of Sciences , 101 : 5851 – 5855 .
   PubMed Web of Science ®Google Scholar
• Gregory , P. 1996 . Chemistry and Technology of Printing and Imaging Systems , London : Blackie .
   Google Scholar
• S. Yang, Researchers Developing Microjet for Ouchless Injections, U.C. Berkley News, Available at http://www.berkeley.edu/news/media/releases/2005/03/16_microjet.shtml (Accessed: 16 March 2005 ).
   Google Scholar
• Driscoll , J. , Delmendo , R. , Papen , R. and Sawutz , D. 1998 . MultiPROBE nL Complements Drug Discovery Assay Miniaturization . Journal of Biomolecular Screening , 3 : 237 – 239 .
   Google Scholar
• P. McGee, Micro to Nano: Liquid Handling Gets Small, Drug Discovery and Development, Available at http://www.dddmag.com/
   Google Scholar
• A. Gokhale, B. Khusid, R. Dave, and R. Pfeffer, Formation of Nanoparticles in Supercritical Fluid Jets, 2005 Nanotechnology Conference and Trade Show, Available at http://www. nsti.org/Nanotech2005/showabstract.html?absno=449
   Google Scholar
• Fan , X. , Phan-Thien , N. , Yong , N.T. and Diao , X. 2002 . Molecular Dynamics Simulation of a Liquid in a Complex Nano Channel Flow . Physics of Fluids , 14 : 1146 – 1153 .
   Web of Science ®Google Scholar
• Allen , M.P. and Tildesley , D.J. 1987 . Computer Simulation of Liquids , Oxford : Oxford University Press .
   Google Scholar
• Ma , W.J. , Koplik , J. and Banavar , J.R. 1995 . Molecular-Dynamics Studies of Systems of Confined Dumbbell Molecules . Physical Review E , 51 : 441 – 453 .
   Web of Science ®Google Scholar
• Hu , Y. , Wang , H. , Guo , Y. and Zheng , L. 1996 . Simulation of Lubricant Rheology in Thin Film Lubrication, Part I: Simulation of Poiseuille Flow . Wear , 196 : 243 – 248 .
   Web of Science ®Google Scholar
• Jabbarazadeh , A. , Atkinson , J.D. and Tanner , R.I. 1998 . Nanorheology of Molecularly Thin Films of n-Hexadecane in Couette Shear Flow by Molecular Dynamics Simulation . Journal of Non-Newtonian Fluid Mechanics , 77 : 53 – 78 .
   Web of Science ®Google Scholar
• Schaaf , S.A. and Chambre , P.L. 1961 . Flow of Rarefied Gases , Princeton, NJ : Princeton University Press .
   Google Scholar
• Trozzi , C. and Ciccotti , G. 1984 . Stationary Nonequilibrium States by Molecular Dynamics. II. Newton's Law . Physical Review A , 29 : 916 – 925 .
   Web of Science ®Google Scholar
• Koplik , J. , Banavar , J.R. and Willemsen , J.F. 1989 . Molecular Dynamics of Fluid Flow at Solid Surfaces . Physics of Fluids A , 1 : 781 – 794 .
   Web of Science ®Google Scholar
• Heinbuch , U. and Fischer , J. 1989 . Liquid Flow in Pores: Slip, No-Slip, or Multilayer Sticking . Physical Review A , 40 : 1144 – 1146 .
   PubMed Web of Science ®Google Scholar
• Thompson , P.A. and Robbins , M.O. 1990 . Shear Flow Near Solids: Epitaxial Order and Flow Boundary Conditions . Physical Review A , 41 : 6830 – 6837 .
   PubMed Web of Science ®Google Scholar
• Travis , K.P. , Todd , B.D. and Evans , D.J. 1997 . Departure from Navier-Stokes Hydrodynamics in Confined Liquids . Physical Review E , 55 : 4288 – 4295 .
   Web of Science ®Google Scholar
• Maruyama , S. , Kurashige , T. , Matsumoto , S. , Yamaguchi , Y. and Kimura , T. 1998 . Liquid Droplet in Contact with a Solid Surface . Microscale Thermophysical Engineering , 2 : 49 – 62 .
   Google Scholar
• Travis , K.P. and Gubbins , K.E. 2000 . Poiseuille Flow of Lennard-Jones Fluids in Narrow Slit Pores . Journal of Chemical Physics , 112 : 1984 – 1994 .
   Web of Science ®Google Scholar
• Tully , J.C. 1980 . Dynamics of Gas-Surface Interactions: 3D Generalized Langevin Model Applied to fcc and bcc Surfaces . Journal of Chemical Physics , 73 : 1975 – 1985 .
   Web of Science ®Google Scholar
• Baruh , H. 1999 . Analytical Dynamics , Boston : McGraw-Hill .
   Google Scholar
• Koplik , J. and Banavar , J.R. 1995 . Corner Flow in the Sliding Plate Problem . Physics of Fluids , 7 : 3118 – 3125 .
   Web of Science ®Google Scholar
• Koplik , J. and Banavar , J.R. 1997 . Reentrant Corner Flows of Newtonian and Non-Newtonian Fluids . Journal of Rheology , 41 : 787 – 805 .
   Web of Science ®Google Scholar
• Tully , J.C. 1993 . Electronic and Phonon Mechanisms of Vibrational Relaxation: CO on Cu(100) . Journal of Vacuum Science and Technology A , 11 : 1914 – 1920 .
   Web of Science ®Google Scholar
• Yi , P. , Poulikakos , D. , Walther , J. and Yadigaroglu , G. 2002 . Molecular Dynamics Simulation of Vaporization of an Ultra-Thin Argon Layer on a Surface . International Journal of Heat and Mass Transfer , 45 : 2087 – 2100 .
   Web of Science ®Google Scholar
• Garrison , B.J. , Kodali , P.B.S. and Srivastava , D. 1996 . Modeling of Surface Processes as Exemplified by Hydrocarbon Reactions . Chemical Reviews , 96 : 1327 – 1341 .
   PubMed Web of Science ®Google Scholar
• Berkowitz , M. and McCammon , A. 1982 . Molecular Dynamics with Stochastic Boundary Conditions . Chemical Physics Letters , 90 : 215 – 217 .
   Web of Science ®Google Scholar
• Evans , D.J. and Morriss , G.P. 1986 . Shear Thickening and Turbulence in Simple Fluids . Physical Review Letters , 56 : 2172 – 2175 .
   PubMed Web of Science ®Google Scholar
• Branam , R. 2005 . Molecular Dynamics Simulations of Supercritical Fluids, Ph.D. thesis , University Park, PA : The Pennsylvania State University .
   Google Scholar
• Isrealachvili , J.N. 1985 . Intermolecular and Surface Forces , London : Academic Press .
   Google Scholar
• Craig , V. , Neto , C. and Williams , D. 2001 . Shear-Dependent Boundary Slip in an Aqueous Newtonian Liquid . Physical Review Letters , 87 : 054504
   PubMed Web of Science ®Google Scholar
• Zhu , Y. and Granick , S. 2001 . Rate-Dependent Slip of Newtonian Liquid at Smooth Surfaces . Physical Review Letters , 87 : 096105
   PubMed Web of Science ®Google Scholar
• Zheng , Y. , Garcia , A.L. and Alder , B.J. 2002 . Comparison of Kinetic Theory and Hydrodynamics for Poiseuille Flow . Journal of Statistical Physics , 109 : 495 – 505 .
   Web of Science ®Google Scholar
• Nwobi , O.C. 1998 . Molecular Dynamics Studies of Transport Properties and Equation of State of Supercritical Fluids. Ph.D. Thesis , University Park, PA : The Pennsylvania State University .
   Google Scholar
• Guan , P. , Mckenzie , D.R. and Pailthorpe , B.A. 1996 . MD Simulations of Ag Film Growth Using the Lennard-Jones Potential . Journal of Physics: Condensed Matter , 8 : 8753 – 8762 .
   Web of Science ®Google Scholar