COMPUTATION OF SLIP FLOW IN MICROCHANNELS USING LANGMUIR SLIP CONDITION

References

• Anderson , W. K. and Bonhaus , D. L. 1994 . An Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids . Comput. Fluids , 23 ( 1 ) : 1 – 21 .
   Web of Science ®Google Scholar
• Gombosi , T. I. 1994 . Gaskinetic Theory , New York : Cambridge University Press .
   Google Scholar
• Myong , R. S. Velocity-Slip Effect in Low-Speed Microscale Gas Flows, AIAA 2001-3076, 35th AIAA Thermophysics Conf., Aneheim, CA., 2001
   Google Scholar
• Myong , R. S. 1999 . Thermodynamically Consistent Hydrodynamic Computational Models for High-Knudsen-Number Gas Flows . Phys. Fluids , 11 ( 9 ) : 2788 – 2802 .
   Web of Science ®Google Scholar
• Harley , J. C. , Huang , Y. , Bau , H. H. and Zemel , J. N. 1995 . Gas Flow in Micro-channels . J. Fluid Mech. , 284 : 257 – 274 .
   Web of Science ®Google Scholar
• Piekos , E. S. and Breuer , K. S. 1996 . Numerical Modeling of Micromechanical Devices Using the Direct Simulation Monte Carlo Method . J. Fluids Eng. , 118 : 464 – 469 .
   Web of Science ®Google Scholar
• Xue , H.H. , Fan , Q. and Shu , C. 2000 . Prediction of Micro-channel Flows Using Direct Simulation Monte Carlo . Prob. Eng. Mech. , 15 : 213 – 219 .
   Web of Science ®Google Scholar
• Beskok , A. , Kamiadakis , G. E. and Trimmer , W. 1996 . Rarefaction and Compressibility Effects in Gas Microflows . J. Fluids Eng. , 118 : 448 – 456 .
   Web of Science ®Google Scholar
• Adamson , A. W. and Gast , A. P. 1997 . Physical Chemistry of Surfaces , 6th , New York : chap. 17, Wiley .
   Google Scholar
• Lee , D. Local Preconditioning of the Euler and Navier-Stokes Equations, Ph.D. thesis, University of Michigan, Ann Arbor, MI, 1996
   Google Scholar
• Demirdzic , I. , Lilek , Z. and Peric , M. 1993 . A Collocated Finite Volume Method for Predicting Flows at All Speeds . Int. J. Numer. Meth. Fluids , 16 : 1029 – 1050 .
   Web of Science ®Google Scholar
• Rincon , J. and Elder , R. 1997 . A High-Resolution Pressure-Based Method for Compressible Flows . Comput. Fluids , 26 ( 3 ) : 217 – 231 .
   Web of Science ®Google Scholar
• Demirdzic , I. and Muzaferija , S. 1995 . Numerical Method for Coupled Fluid Flow, Heat Transfer and Stress Analysis Using Unstructured Moving Meshes with Cells of Arbitrary Topology . Comput. Meth. Appl. Mech. Eng. , 125 : 235 – 255 .
   Web of Science ®Google Scholar
• lessee , J. P. and Fiveland , W. A. 1996 . A Cell Vertex Algorithm for the Incompressible NavierStokes Equations on Non-orthogonal Grids . Int. J. Numer. Meth. Fluids , 23 : 271 – 293 .
   Google Scholar
• Davidson , L. 1996 . A Pressure Correction Method for Unstructured Meshes with Arbitrary Control Volumes . Int. J. Numer. Meth. Fluids , 22 : 265 – 281 .
   Web of Science ®Google Scholar
• Gad-el-Hak , M. 1999 . The Fluid Mechanics of Microdevices-The Freeman Scholar Lecture . J. Fluids Eng. , 121 : 5 – 33 .
   Web of Science ®Google Scholar
• Arkilic , E. B. , Breuer , K. S. and Schmidt , M. A. 1994 . Gaseous Flow in Microchannels, ASME FED-Vol. 197 . Application of Microfabrication to Fluid Mechanics , : 57 – 66 .
   Google Scholar
• Pong , K. C. , Ho , C. M. , Liu , J. and Tai , Y. C. 1994 . Non-linear Pressure Distribution in Uniform Microchannels, Applications of Microfabrication to Fluid Mechanics . ASME Winter Annual Meeting , : 51 – 56 .
   Google Scholar
• Arkilic , E. B. , Schmidt , M. A. and Breuer , K. S. 1997 . Gaseous Slip Flow in Long Microchannels . J. Microelectromech. Sys. , 6 ( 2 ) : 167 – 178 .
   Web of Science ®Google Scholar
• Myong , R. S. 2001 . A Computational Method for Eu's Generalized Hydrodynamic Equations of Rarefied and Microscale Gasdynamics . J. Comput. Phy. , 166 : 1 – 26 .
   Google Scholar