Numerical Simulation of Roughness in Microchannels by Using the Second-Order Slip Boundary Condition

REFERENCES

• S.G. Kandlikar, D. Schmitt, A.L. Carrano, and J.B. Taylor, Characterization of Surface Roughness Effects on Pressure Drop in Single-Phase Flow in Minichannels, Physics of Fluids, Vol. 17, pp. 1–17, 2005.
   Web of Science ®Google Scholar
• C. Kleinstreuer and J. Koo, Computational Analysis of Wall Roughness Effects for Liquid Flow in Micro-Conduits, Journal of Fluids Engineering, Vol. 126, pp. 1–9, 2004.
   Web of Science ®Google Scholar
• Y. Hu, C. Werner, and D. Li, Influence of Three-Dimensional Roughness on Pressure-Driven Flow through Microchannels, Journal of Fluids Engineering, Vol. 125, pp. 871–879, 2003.
   Web of Science ®Google Scholar
• G. Croce and P. D’Agaro, Numerical Analysis of Roughness Effect on Microtube Heat Transfer, Superlattices and Microstructures, Vol. 35, pp. 601–616, 2004.
   Web of Science ®Google Scholar
• Y. Ji, K. Yuan, and J.N. Chung, Numerical Simulation of Wall Roughness on Gaseous Flow and Heat Transfer in a Microchannel, International Journal of Heat and Mass Transfer, Vol. 49, pp. 1329–1339, 2006.
   Web of Science ®Google Scholar
• S. Kandlikar,S. Joshi, and S. Tian, Effect of Channel Roughness on Heat Transfer and Fluid Flow Characteristics at Low Reynolds Numbers in Small Diameter Tubes, in Proceedings of NHTC’01 35th National Heat Transfer Conference, June 10–12, Anaheim, CA, 2001.
   Google Scholar
• C. Shen, Rarefied Gas Dynamics: Fundamentals, Simulations and Micro Flows, Springer-Verlag, Berlin, Heidelberg, Germany, 2005.
   Google Scholar
• S.A. Schaaf and P.L. Chambr, Flow of Rarefied Gases, Princeton University Press, Princetonm, NJ, 1961.
   Google Scholar
• A.K. Sreekanth, Slip Flow through Long Circular Tubes, in Sixth International Symposium on Rarefied Gas Dynamics, July 22–26, Cambridge, MA, Academic Press, New York, 1969, pp. 667–680.
   Google Scholar
• E.S. Piekos and K.S. Breuer, Numerical Modeling of Micromechanical Devices Using the Direct Simulation Monte Carlo Method, Journal of Fluids Engineering, Vol. 118, pp. 464–469, 1996.
   Web of Science ®Google Scholar
• S. Colin, P. Lalonde, and R. Caen, Validation of a Second-Order Slip Flow Model in Rectangular Microchannels, Heat Transfer Engineering, Vol. 25, pp. 23–30, 2004.
   Web of Science ®Google Scholar
• L. De Génie, M. De Toulouse, and D. De Génie, High-Order Boundary Conditions for Gaseous Flows in Rectangular Microducts, Microscale Thermophysical Engineering, Vol. 5, pp. 41–54, 2001.
   Google Scholar
• J. Maurer, P. Tabeling, P. Joseph, and H. Willaime, Second-Order Slip Laws in Microchannels for Helium and Nitrogen, Physics of Fluids, Vol. 15, pp. 2613–2621, 2003.
   Web of Science ®Google Scholar
• J.C. Maxwell, On Stresses in Rarefied Gases Arising from Inequalities of Temperature, Philosophical Transactions, Vol. 170, pp. 231–256, 1879.
   Google Scholar
• S. Chapman and T.G. Cowling, The Mathematical Theory of Non-Uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases. Cambridge University Press, Cambridge, UK, 1991.
   Google Scholar
• R.G. Deissler, An Analysis of Second-Order Slip Flow and Temperature-Jump Boundary Conditions for Rarefied Gases, International Journal of Heat and Mass Transfer, Vol. 7, pp. 681–694, 1964.
   Google Scholar
• Y. Mitsuya, Modifieds Reynolds Equation for Ultra-Thin Film Gas Lubrication Using 1.5-Order Slip-Flow Model and Considering Surface Accommodation Coefficient, Journal of Tribology, Vol. 115, pp. 289–294, 1993.
   Web of Science ®Google Scholar
• A. Beskok and G.E. Karniadakis, A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano Scales, Microscale Thermophysical Engineering, Vol. 3, pp. 43–77, 1999.
   Google Scholar
• H. Xue and Q. Fan, A New Analytic Solution of the Navier-Stokes Equations for Microchannel Flows, Microscale Thermophysical Engineering, Vol. 4, pp. 125–143, 2000.
   Google Scholar
• M. Mala and D. Li, Flow Characteristics of Water in Microtubes, International Journal of Heat and Fluid Flow, Vol. 20, pp. 142–148, 1999.
   Web of Science ®Google Scholar
• T.Y. Lin and S.G. Kandlikar, Heat Transfer Investigation of Air Flow in Microtubes—Part I: Effects of Heat Loss, Viscous Heating, and Axial Conduction, Journal of Heat Transfer, Vol. 135, pp. 1–9, 2013.
   Google Scholar
• T.Y. Lin and S.G. Kandlikar, Heat Transfer Investigation of Air Flow in Microtubes—Part II: Scale and Axial Conduction Effects, Journal of Heat Transfer, Vol. 135, pp. 1–6, 2013.
   Google Scholar
• P.Y. Wu and W.A. Little, Measurement of the Heat Transfer Characteristics of Gas Flow in Fine Channel Heat Exchangers Used for Microminiature Refrigerators, Cryogenics, Vol. 24, pp. 415–420, 1984.
   Web of Science ®Google Scholar
• P.Y. Wu and W.A. Little, Measurement of Friction Factors for the Flow of Gases in Very Fine Channels Used for Microminiature Joule-Thomson Refrigerators, Cryogenics, Vol. 23, pp. 273–277, 1983.
   Web of Science ®Google Scholar
• S.B. Choi, R.F. Barron, and R.O. Warrington, Fluid Flow and Heat Transfer in Microtubes, presented at ASME Dynamic Systems and Control, Vol. 32, Atlanta, GA, 1991.
   Google Scholar
• S. Usami, and M. Fujimoto, and T. Kato, Mass-Flow Reduction of Rarefied Gas by Roughness of a Slit Surface (High-Speed Calculation of DSMC Method on the Vector Processor), Transactions of the Japan Society of Mechanical Engineers(Series B), Vol. 54, No. 501, pp. 1042–1050, 1988.
   Google Scholar
• H. Sun and M. Faghri, Effect of Surface Roughness on Nitrogen Flow in a Microchannel Using the Direct Simulation Monte Carlo Method, Numerical Heat Transfer Part A, Vol. 43, pp. 1–8, 2003.
   Web of Science ®Google Scholar
• J.R. Valdés, M.J. Miana, J.L. Pelegay, J.L. Núñez, and T. Pütz, Numerical Investigation of the Influence of Roughness on the Laminar Incompressible Fluid Flow through Annular Microchannels, International Journal of Heat and Mass Transfer, Vol. 50, pp. 1865–1878, 2007.
   Web of Science ®Google Scholar
• M. Shams, M.H. Khadem, and S. Hossainpour, Direct Simulation of Roughness Effects on Rarefied and Compressible Flow at Slip Flow Regime, International Communications in Heat and Mass Transfer, Vol. 36, pp. 88–95, 2009.
   Web of Science ®Google Scholar
• M.H. Khadem, M. Shams, and S. Hossainpour, Numerical Simulation of Roughness Effects on Flow and Heat Transfer in Microchannels at Slip Flow Regime, International Communications in Heat and Mass Transfer, Vol. 36, pp. 69–77, 2009.
   Web of Science ®Google Scholar
• Y. Asako, T. Pi, S.E. Turner, and M. Faghri, Effect of Compressibility on Gaseous Flows in Micro-Channels, International Journal of Heat and Mass Transfer, Vol. 46, pp. 3041–3050, 2003.
   Web of Science ®Google Scholar
• G.H. Tang, Z. Li, Y.L. He, and W.Q. Tao, Experimental Study of Compressibility, Roughness and Rarefaction Influences on Microchannel Flow, International Journal of Heat and Mass Transfer, Vol. 50, No. 11–12, pp. 2282–2295, 2007.
   Web of Science ®Google Scholar
• Z.-Y. Guo and Z.-X. Li, Size Effect on Microscale Single-Phase Flow and Heat Transfer, International Journal of Heat and Mass Transfer, Vol. 46, No. 1, pp. 149–159, 2003.
   Web of Science ®Google Scholar