Maxwell, J. C., On the stresses in rarified gases arising from inequalities of temperature, Philosophical Transactions of the Royal Society, 1879, 170, 231-256. | |
Kennard, E. H., Kinetic theory of gases with an introduction to statistical mechanics, Allied Pacific, Bombay, 1962. | |
Millikan, R. A., coefficients of slip in gases and the law of reflection of molecules from the surfaces of solids and liquids, Physical Review, 1923, 21, 217-238. CrossRef | |
Cao, B. Y., Chen, M., and Guo, Z. Y., Temperature dependence of the tangential momentum accommodation coefficient for gases, Applied Physics Letters, 2005, 86, 091905. CrossRef | |
Agrawal, A., and Prabhu, S. V., A survey on measurement of tangential momentum accommadation coefficient, Journal of Vacuum Science and Technology A, 2008, 26, 634-645. CrossRef | |
Sone, Y., Molecular gas dynamics : theory, techniques and applications, Birkhauser, Boston, 2007. | |
Lockerby, D. A., Reese, J. M., Emerson, D. R., and Barber, R. W., Velocity boundary condition at solid walls in rarefied gas calculations, Physical Review E, 2004, 70, 017303. CrossRef | |
Einzel, D., Panzer, P., and Liu, M., Boundary condition for fluid flow: Curved or rough surfaces, Physical Review Letters, 1990, 64, 2269-2272. CrossRef | |
Agrawal, A., and Prabhu, S. V., Deduction of slip coefficient in slip and transition regimes from existing cylindrical Couette flow data, Experimental Thermal and Fluid Sciences, 2008, 32, 991-996. CrossRef | |
Barber, R. W. and Emerson, D. R., Challenges in Modeling Gas-Phase Flow in Microchannels: From Slip to Transition, Heat Transfer Engineering, 2004, 27, 3-12. | |
Karniadakis, G. E., Beskok, A., and Aluru, N., Microflows and Nanoflows - Fundamentals and simulations, Springer-Verlag, New York, 2005. | |
Sreekanth, A. K., Slip flow through long circular tubes, in Ed: L. Trilling and H. Y. Wachman, Proceedings of the sixth international symposium on Rarefied Gas Dynamics. 667-676 (1969), Academic press. | |
Dongari, N., Agrawal, A., and Agrawal, A., Analytical solution of gaseous slip flow in long microchannels, International Journal of Heat and Mass Transfer, 2007, 50, 3411-3421. CrossRef | |
Arkilic, E. B., Breuer, K. S., and Schmidt, M. A., Mass flow and tangential momentum accommodation in silicon micromachined channels, Journal of Fluid Mechanics, 2001, 437, 29-43. | |
Maurer, J., Tabeling, P., Joseph, P., and Willaime, H., Second-order slip laws in microchannels for helium and nitrogen, Physics of Fluids, 2003, 15, 2613-2621. CrossRef | |
Ewart, T., Perrier, P., Graur, I. A., and Meolans, J. G., Mass flow rate measurements in a microchannel, from hydrodynamic to near free molecular regimes, Journal of Fluid Mechanics, 2007, 584, 337-356. CrossRef | |
Dongari, N., Sambasivam, R., and Durst, F., Extended Navier-Stokes Equations and Treatments of Micro-Channel Gas Flows, Journal of Fluid Science and Technology, 2009, 4, 454-467. CrossRef | |
Pan, L. S., Liu, G. R. and Lam, K. Y., Determination of slip coefficient for rarefied gas flows using direct simulation Monte Carlo, Journal of Micromechanics and Microengineering, 1999, 9 89. CrossRef | |
Xue, H., Fan, Q., and Shu, C., Prediction of micro-channel flows using direct simulation Monte Carlo, Probabilistic Engineering Mechanics, 2000, 15, 213-219. CrossRef | |
Montanero, J. M., Santos, A., and Garzo, V., Monte Carlo simulation of nonlinear Couette flow in a dilute gas, Physics of Fluids, 2000, 12, 3060-3073. CrossRef | |
Bhattacharya, D. K. and Lie, G. C., Molecular-dyanmics simulations of nonequilibrium heat and momentum transport in very dilute gases, Physical Review Letters, 1989, 62, 897-900. CrossRef | |
Bird G. A., Molecular gas dynamics and the direct simulation of gas molecules, Oxford University Press, Oxford, 1994. | |
Sachdev, S. S., Study of rarefied gas flows using direct simulation Monte Carlo, M. Tech. thesis, Department of Mechanical Engineering, Indian Institute of Technology Bombay (2008). | |
Verma, B., Demsis, A., Agrawal, A., and Prabhu, S. V., Semiempirical correlation for the friction factor of gas flowing smooth microtubes, Journal of Vacuum Science and Technology A, 2009, 27, 584-590. CrossRef | |
Xue, H., Ji, H. M., and Shu, C., Analysis of micro-Couette flow using the Burnett equations, International Journal of Heat and Mass Transfer, 2001, 44, 4139-4146. CrossRef | |
Lockerby, D. A. and Reese, J. M., High-resolution Burnett simulations of micro Couette flow and heat transfer, Journal of Computational Physics, 2003, 188, 333-347. CrossRef | |
Bao, F. B., Lin, J. Z., and Shi, X., Burnett simulation of flow and heat transfer in micro Couette flow using second-order slip coefficients, Heat and Mass Transfer, 2007, 43, 559-566. CrossRef | |
Cercignani, C., and Daneri, A., Flow of a rarefied gas between two parallel plates, Journal of Applied Physics, 1963, 34, 3509-3513. CrossRef | |
Cercignani, C., Lampis, M., and Lorenzani, S., Variational approach to gas flows in microchannels, Physics of Fluids, 2004, 16 3426-3437. CrossRef | |
Sharipov, F., Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. I. Plane flow between two parallel plates, European Journal of Mechanics B, 2002, 21 113-123. CrossRef | |
Hadjiconstantinou, N. G., Comment on Cercignani's second order slip coefficient, Physics of Fluids, 2003, 15, 2352-2354. CrossRef | |
Ohwada T., Sone Y. and Aoki K., Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard sphere molecules, Physics of Fluids A, 1989, 1, 1588-1599. CrossRef | |
O'Hare L., Lockerby D. A., Reese J. M. and Emerson D. R., Near-wall effects in rarefied gas micro-flows: some modern hydrodynamic approaches, International Journal of Heat and Fluid Flow, 2007, 28, 37-43. CrossRef |
A Critical Assessment of the Maxwell Slip Boundary Condition for Rarified Wall Bounded Flows
Abhimanyu GavasaneRelated information
1 Department of Mechanical Engineering, Indian Institute of Technology Bombay, India
, Swapnil SachdevRelated information1 Department of Mechanical Engineering, Indian Institute of Technology Bombay, India
, Bharat MittalRelated information1 Department of Mechanical Engineering, Indian Institute of Technology Bombay, India
, Upendra BhandarkarRelated information1 Department of Mechanical Engineering, Indian Institute of Technology Bombay, India
, Amit AgrawalRelated information1 Department of Mechanical Engineering, Indian Institute of Technology Bombay, India