Commenced in January 2007
Paper Count: 30455
Second-Order Slip Flow and Heat Transfer in a Long Isothermal Microchannel
Abstract:This paper presents a study on the effect of second-order slip and jump on forced convection through a long isothermally heated or cooled planar microchannel. The fully developed solutions of thermal flow fields are analytically obtained on the basis of the second-order Maxwell-Burnett slip and Smoluchowski jump boundary conditions. Results reveal that the second-order term in the Karniadakis slip boundary condition is found to contribute a negative velocity slip and then to lead to a higher pressure drop as well as a higher fluid temperature for the heated-wall case or to a lower fluid temperature for the cooled-wall case. These findings are contrary to predictions made by the Deissler model. In addition, the role of second-order slip becomes more significant when the Knudsen number increases.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1108703Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1462
 G. Tunc and Y. Bayazitoglu, “Heat transfer in rectangular microchannels,” Int.J. Heat Mass Transfer, vol. 45, pp. 765–773, 2002.
 M. Renksizbulut, H. Niazmand, and G. Tercan, “Slip-flow and heat transfer in rectangular microchannels with constant wall temperature,” Int. J. Thermal Sci., vol. 45, pp. 870–881, 2006.
 M. Shojaeian and S. A. R. Dibaji, “Three-dimensional numerical simulation of the slip flow through triangular microchannels,” Int. Comm. Heat Mass Transfer, vol. 37, pp. 324–329, 2010.
 A. Sadeghi and M. H. Saidi, “Viscous dissipation and rarefaction effects on laminar forced convection in microchannels,” J. Heat Transf.-Trans. ASME, vol. 132, p. 072401, 2010.
 B. Çetin, “Effect of thermal creep on heat transfer for a two-dimensional microchannel flow: An analytical approach,” J. Heat Transf.-Trans. ASME, vol. 135, p. 101007, 2013.
 H. C. Weng and C.-K. Chen, “A challenge in Navier–Stokes-based continuum modeling: Maxwell–Burnett slip law,” Phys. Fluids, vol. 20, p. 106101, 2008.
 H. C. Weng “Second-order slip flow and heat transfer in a long isoflux microchannel,” Int. J. Mech. Aerosp. Ind. Mechatronics Eng., vol. 8, pp. 1422–1425, 2014.
 H. C. Weng and C.-K. Chen, “Variable physical properties in natural convective gas microflow,” J. Heat Transf.-Trans. ASME, vol.130, p. 082401, 2008.
 H. C. Weng and S. J., Jian, “Developing mixed convection in a vertical microchannel,” Adv. Sci. Lett., vol. 130, pp. 908–913, 2012.
 G. E. Karniadakis, A. Beskok, and N. Aluru, Microflows and Nanoflows: Fundamentals and Simulation. New York: Springer, 2005, pp. 51–74, 167–172.
 R. G. Deissler, “An analysis of second-order slip flow and temperature jump boundary conditions for rarefied gases,” Int. J. Heat Mass Transfer, vol. 7, p. 681–694, 1964.