Effect of Wall Roughness on the Slip of Fluid in a Microchannel

REFERENCES

• Pit , R. , Hervet , H. and Léger , L. 2000 . Direct Experimental Evidence of Slip in Hexadecane: Solid Interfaces . Physical Review Letters , 85 : 980 – 983 .
   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 – 096109 .
   PubMed Web of Science ®Google Scholar
• Sokhan , V.P. , Nicholson , D. and Quirke , N. 2002 . Fluid Flow in Nanopores: Accurate Boundary Conditions for Carbon Nanotubes . The Journal of Chemical Physics , 117 : 8531 – 8539 .
   Web of Science ®Google Scholar
• Arkilic , E. , Breuer , K. and Schmidt , M. . Gaseous Flow in Microchannels . Proceedings of Application of Microfabrication to Fluid Mechanics . Chicago. Edited by: ASME . pp. 57 ASME .
   Google Scholar
• Chan , D.Y.C. and Horn , R.G. 1985 . The Drainage of Thin Liquid Films Between Solid Surfaces . The Journal of Chemical Physics , 83 : 5311 – 5324 .
   Web of Science ®Google Scholar
• Israelachvili , J.N. 1986 . Measurement of the Viscosity of Liquids in Very Thin Films . Colloids & Interface Science , 110 : 263 – 271 .
   Web of Science ®Google Scholar
• Watts , E.T. , Krim , J. and Widom , A. 1990 . Experimental Observation of Interfacial Slippage at the Boundary of Molecularly Thin Films with Gold Substrates . Physical Review B , 41 : 3466 – 3472 .
   PubMed Web of Science ®Google Scholar
• Travis , K.P. , Todd , B.D. and Evans , D.J. 1997 . Departure from Navier Stockes Hydrodynamics in Confined Liquids . Physical Review E , 55 : 4288 – 4295 .
   Web of Science ®Google Scholar
• Todd , B.D. and Evans , D.J. 1997 . Temperature Profile for Poiseuille Flow . Physical Review E , 55 : 2800 – 2807 .
   Google Scholar
• Ronis , D. , Kovac , J. and Oppenheim , I. 1977 . Molecular Hydrodynamics of Inhomogeneous Systems: The Origin of Slip Boundary Conditions . Physica A , 88 : 215 – 241 .
   Google Scholar
• Ronis , D. 1983 . On the Derivation of Dynamical Equations for Systems with an Interface: III. The Solid-Liquid Interface . Physica A , 121 : 1 – 37 .
   Web of Science ®Google Scholar
• Brenner , H. and Ganesan , V. 2000 . Molecular Wall Effects: Are Conditions at a Boundary “Boundary Conditions”? . Physical Review E , 61 : 6879 – 6897 .
   Google Scholar
• Koplik , J. , Banavar , J.R. and Willemsen , J.F. 1988 . Molecular Dynamics of Fluid Flow at Solid Surfaces, Phys. Fluid A 1, 781, 1989; Molecular Dynamics of Poiseuille Flow and Moving Contact Lines . Physical Review Letters , 60 : 1282 – 1285 .
   PubMed Web of Science ®Google Scholar
• Thompson , P.A. and Robbins , M.O. 1989 . Simulations of Contact-Line Motion: Slip and the Dynamic Contact Angle . Physical Review Letters , 63 : 766 – 769 .
   PubMed 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
• Toxvaerd , S. and Stecki , J. 2001 . Molecular Dynamics of Interfaces in Opposing Fields . Chemical Physics , 115 : 1928 – 1934 .
   Google Scholar
• Maxwell , J.C. 1867 . On the Dynamical Theory of Gases . Philosophical Transactions of the Royal Society of London , 157 : 49
   Google Scholar
• Magda , J.J. , Tirrell , M. and Davis , H.T. 1985 . Molecular Dynamics of Narrow, Liquid-Filled Pores . The Journal of Chemical Physics , 83 : 1888 – 1901 .
   Web of Science ®Google Scholar
• Sun , M. and Ebner , C. 1992 . Molecular Dynamics Simulation of Compressible Fluid Flow in Two-Dimensional Channels . Physical Review A , 46 : 4813 – 4818 .
   PubMed Web of Science ®Google Scholar
• Cieplak , M. , Koplik , J. and Banavar , J.R. 2001 . Boundary Conditions at a Fluid-Solid Interface . Physical Review Letters , 86 : 803 – 806 .
   PubMed Web of Science ®Google Scholar
• Jabbarzadeh , A. , Atkinson , J.D. and Tanner , R.I. 2000 . Effect of the Wall Roughness on the Slip and Rheological Properties of Hexadecane in Molecular Dynamics Simulation of Couette Shear Flow Between Two Sinusoidal Walls . Physical Review E , 61 : 690 – 699 .
   PubMed Web of Science ®Google Scholar
• Mo , G. and Rosenberger , F. 1990 . Molecular Dynamics Simulation of Flow in a Two Dimensional Channel with Atomically Rough Walls . Physical Review A , 42 : 4688 – 4692 .
   PubMedGoogle Scholar
• Gala , T.M. and Attard , P. 2004 . Molecular Dynamics Study of the Effect of Atomic Roughness on the Slip Length at the Fluid-Solid Boundary During Shear Flow . Langmuir , 20 : 3477 – 3482 .
   PubMedGoogle Scholar
• Mo , G. and Rosenberger , F. 1991 . Molecular Dynamics Simulation of Flow with Binary Diffusion in a Two Dimensional Channel with Atomically Rough Walls . Physical Review A , 44 : 4978 – 4985 .
   PubMedGoogle Scholar
• Bing-Yang , C. , Min , C. and Zeng-Yuan , Guo . 2004 . Rarefied Gas Flow in Rough Microchannels by Molecular Dynamics Simulation . Chinese Physics Letters , 21 : 1777 – 1779 .
   Google Scholar
• Allen , M.P. and Tildesley , D.J. 1987 . Computer Simulation of Liquids , Oxford : Clarendon .
   Google Scholar
• Hansen , J.P. and McDonald , I.R. 1976 . Theory of Simple Liquids , London : Academic .
   Google Scholar
• Rappaport , D.C. 2004 . The Art of Molecular Dynamics Simulation , 2nd , Cambridge, , UK : Cambridge University Press .
   Google Scholar
• Morris , D.L. , Hannon , L. and Garcia , A.L. 1992 . Slip Length in a Dilute Gas . Physical Review A , 46 : 5279 – 5281 .
   PubMed Web of Science ®Google Scholar
• Ponomarev , I.V. and Meyerovich , A.E. 2003 . Surface Roughness and Effective Stick-Slip Motion . Physical Review E , 67 : 026302 – 026313 .
   Google Scholar
• Ho , C.M. and Tai , Y.C. 1998 . Micro-Electro-Mechanical-Systems (MEMS) and Fluid Flows . Annual Review of Fluid Mechanics , 30 : 579 – 612 .
   Web of Science ®Google Scholar