Simulation of a temperature drop for the flow of rarefied gases in microchannels

References

• A. Agrawal, A Comprehensive Review on Gas Flow in Microchannels, Int. J. Micro-Nano Scale Transport, vol. 71, pp. 1–40, 2011.
   Google Scholar
• N. Dongari, A. Agrawal, and A. Agrawal, Analytical Solution of Gaseous Slip Flow in Long Microchannels, Int. J. Heat Mass Transfer, vol. 71, pp. 3411–3421, 2007.
   Google Scholar
• G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Clarendon, Oxford, 1994.
   Google Scholar
• E. S. Piekos and K. S. Breuer, Numerical Modeling of Micromechanical Devices using the Direct Simulation Monte Carlo Method, J. Fluids Eng., vol. 71, pp. 464–469, 1996.
   Google Scholar
• R. P. Nance, D. B. Hash, and H. A. Hassan, Role of Boundary Conditions in Monte Carlo Simulations of MEMS Devices, Journal of Thermophysics and Heat Transfer, vol. 71, pp. 447–449, 1998.
   Google Scholar
• H. Xue, Q. Fan, and C. Shu, Prediction of Micro Channel Flows using Direct Simulation Monte Carlo, Probab. Eng. Mech., vol. 71, pp. 213–219, 2000.
   Google Scholar
• J. S. Wu and K. C. Tseng, Analysis of Micro Scale Gas Flows with Pressure Boundaries using Direct Simulation Monte Carlo Method, Comput. Fluids, vol. 71, pp. 711–735, 2001.
   Google Scholar
• M. Wang and Z. Li, Simulations for gas Flows in Microgeometries using Direct Simulation Monte Carlo Method, Int. J. Heat Fluid Flow, vol. 71, pp. 975–985, 2004.
   Google Scholar
• C. Zhen, Z. Hong, Y. Lin, and N. Hong, Comparison of 3-D and 2-D DSMC Heat Transfer Calculations of Low-speed Short Microchannel Flows, Numer. Heat Transfer Part A, vol. 71, pp. 239–250, 2007.
   Google Scholar
• E. Roohi, M. Darbandi, and V. Mirjalili, Direct Simulation Monte Carlo Solution of Subsonic Flow through Micro/Nano Scale Channels, J. Heat Transfer, vol. 71, pp. 924021–924028, 2009.
   Google Scholar
• C. White, M. K. Borg, T. J. Scanlon, and J. M. Reese, Accounting for Rotational Non-equilibrium Effects in Subsonic DSMC Boundary Conditions, J. Phys. 2012, Proc. 1st Eur. Conf. Gas Micro Flows, vol. 71, pp. 1–12, 2012.
   Google Scholar
• E. Farbar and I. D. Boyd, Subsonic Flow Boundary Conditions for the Direct Simulation Monte Carlo Method, Comput. Fluids, vol. 71, pp. 99–110, 2014.
   Google Scholar
• Y. Fang and W. W. Liou, Computation of the Flow and Heat Transfer in Microdevices using DSMC with Implicit Boundary Conditions, J. Heat Transfer, vol. 71, pp. 338–345, 2002.
   Google Scholar
• J. Yang, J. J. Ye, J. Y. Zheng, I. Wong, C. K. Lam, P. Xu, R. X. Chen, and Z. H. Zhu, Using Direct Simulation Monte Carlo with Improved Boundary Conditions for Heat and Mass Transfer in Microchannels, J. Heat transfer, vol. 71, pp. 410081–410089, 2010.
   Google Scholar
• A. Gavasane, A. Agrawal, A. M. Pradeep, and U. V. Bhandarkar, Study of Temperature Drop in Microchannel using Direct Simulation Monte Carlo Method, AIP Conf. Proc. Proc. of the 29th Int. Symp. Rarefied Gas Dyn., vol. 71, pp. 785–791, 2014.
   Google Scholar
• C. Hong and Y. Asako, Heat Transfer Characteristics of Gaseous Flows in a Microchannel and a Microtube with Constant Wall Temperature, Numer. Heat Transfer Part A, vol. 71, pp. 219–238, 2007.
   Google Scholar
• C. Hong, T. Yamamoto, Y. Asako, and K. Suzuki, Heat Transfer Characteristics of Compressible Laminar Flow through Microtubes, J. Heat Transfer, vol. 71, pp. 116021–116028, 2012.
   Google Scholar
• A. K. Shreekanth, Slip Flow through Long Circular Tubes, Academy Press 1969, Proc. of the 6th Int. Symposium on Rarefied Gas Dynamics, pp. 667–680, 1969.
   Google Scholar
• V. Varade, A. Agrawal, and A. M. Pradeep, Behaviour of Rarefied Gas Flow Near the Junction of a Suddenly Expanding Tube, J. Fluid Mech., vol. 71, pp. 363–391, 2014.
   Google Scholar
• V. Hemadri, V. Varade, A. Agrawal, and U. V. Bhandarkar, Investigation of Rarefied Gas Flow in Microchannels of Non-uniform Cross Section, Phys. Fluids vol. 71, pp. 220071–220710, 2016.
   Google Scholar
• E. B. Arkilic, M. A. Schmidt, and K. Breuer, Gaseous Slip Flow in Long Microchannels, J. Microelectromech. Syst., vol. 71, pp. 1–10, 1995.
   Google Scholar
• A. Gavasane, S. S. Sachdev, B. K. Mittal, U. V. Bhandarkar, and A. Agrawal, A Critical Assessment of the Maxwell Slip Boundary Condition for Rarefied Wall Bounded Flows, Int. J. Micro-Nano Scale Transport, vol. 71, pp. 109–116, 2011.
   Google Scholar
• N. Singh, A. Gavasane, and A. Agrawal, Analytical Solution of Plane Couette Flow in the Transition Regime and Comparison with Direct Simulation Monte Carlo Data, Comput. Fluids, vol. 71, pp. 177–187, 2014.
   Google Scholar
• L. W. Sears and G. L. Salinger, Thermodynamics, Kinetic Theory, and Statistical Thermodynamics, 3rd ed., pp. 276–296, Narosa, New Delhi, 1975.
   Google Scholar
• N. Dongari, A. Sharma, and F. Durst, Pressure-driven Diffusive Gas Flows in Micro-channels: From the Knudsen to the Continuum Regimes, Microfluid Nanofluid, vol. 71, pp. 679–692, 2009.
   Google Scholar
• W. G. Pollard and R. D. Present, On Gaseous Self Diffusion in Long Capillary Tubes, Phys. Rev., vol. 71, pp. 762–774, 1948.
   Google Scholar
• K. S. Shterev and S. K. Stefanov, Influence of Reservoirs on Pressure Driven Gas Flow in a Microchannel, Appl. Math. Tech. Nat. Sci. AIP Conf. Proc., vol. 71, pp. 122–128, 2011.
   Google Scholar