دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها691
تعداد مقالات10,035
تعداد مشاهده مقاله71,039,752
تعداد دریافت فایل اصل مقاله62,489,343
Rahmati, AhmadReza, Najati, F.. (1397). Analytical solution of pressure driven gas flow and heat transfer in micro-Couette using the Burnett equations. هنرهای کاربردی, 5(2), 87-94. doi: 10.22075/jhmtr.2017.1775.1131
AhmadReza Rahmati; F. Najati. "Analytical solution of pressure driven gas flow and heat transfer in micro-Couette using the Burnett equations". هنرهای کاربردی, 5, 2, 1397, 87-94. doi: 10.22075/jhmtr.2017.1775.1131
Rahmati, AhmadReza, Najati, F.. (1397). 'Analytical solution of pressure driven gas flow and heat transfer in micro-Couette using the Burnett equations', هنرهای کاربردی, 5(2), pp. 87-94. doi: 10.22075/jhmtr.2017.1775.1131
Rahmati, AhmadReza, Najati, F.. Analytical solution of pressure driven gas flow and heat transfer in micro-Couette using the Burnett equations. هنرهای کاربردی, 1397; 5(2): 87-94. doi: 10.22075/jhmtr.2017.1775.1131

Analytical solution of pressure driven gas flow and heat transfer in micro-Couette using the Burnett equations

Journal of Heat and Mass Transfer Research
مقاله 40، دوره 5، شماره 2 - شماره پیاپی 10، بهمن 2018، صفحه 87-94    اصل مقاله (1.02 M)
نوع مقاله: Full Length Research Article
شناسه دیجیتال (DOI): 10.22075/jhmtr.2017.1775.1131
نویسندگان
AhmadReza Rahmati* ؛ F. Najati
university of Kashan
تاریخ دریافت: 09 دی 1395،  تاریخ بازنگری: 13 مهر 1396،  تاریخ پذیرش: 20 مهر 1396 
چکیده
In the current work, an incompressible thermal flow in a micro-Couette in the presence of a pressure gradient is investigated utilizing the analytical solution of the Burnett equations with first-order and second-order slip boundary conditions, for the first time. The lower plate of this micro-Couette is stationary while the upper plate moves with a constant velocity. Both non-dimensional axial velocity and temperature profiles were obtained using two types of the slip boundary conditions and compared in transition flow regime (0.1≤ Kn ≤10). The results show that the effect of the rarefaction is considerable on both velocity and temperature profiles in this regime. Because of the presence of pressure gradient in direction of the flow, both the non-dimensional velocity and temperature profiles are obtained parabolically and become flatter as the Knudsen number increases. Besides, both Poiseuille number and Nusselt number were obtained using analytical solution. The obtained results show that the Poiseuille number and Nusselt number decrease with increasing the Knudsen number. It should be noted that at the absence of an axial pressure gradient, velocity profile is obtained linearly and show a good agreement with the other works in literature.
کلیدواژه‌ها
Burnett equations؛ Knudsen number (Kn)؛ Micro Couette؛ Pressure gradient؛ Thermal flow؛ Transition regime
مراجع
  1. Shamshiri, M. Ashrafizaadeh, E. Shirani, “Investigation of flow and heat transfer characteristics of rarefied gaseous slip in nonplanar micro-Couette configuration,” International Journal of Thermal Sciences, 54, (2012) pp. 262-275.
  2. Shokouhmand, A.H. Meghdadi Isfahani, E. Shirani, “Friction and heat transfer coefficient in micro and nano channels filled with porous media for wide range of Knudsen number,” International Communications in Heat and Mass Transfer, 37, (2010) pp. 890-894.
  3. Mirzaei, M. Dehghan, “Investigation of flow and heat transfer of nanofluid in microchannel with variable property approach,” Heat and Mass Transfer, 49, (2013) pp. 1803-1811.
  4. Dehghan, M. Daneshipour, M.S. Valipour, R. Rafee, S. Saedodin, “Enhancing heat transfer in microchannel heat sinks using converging flow passages,” Energy Conversion and Management, 92, (2015) pp. 244-250.
  5. Dehghan, M.S. Valipour, S. Saedodin,Y. Mahmoudi “Investigation of forced convection through entrance region of a porous-filled microchannel: An analytical study based on the scale analysis,” Applied ThermalEngineering, 99, (2016) pp. 446-454.
  6. Demirel, “Thermo dynamic analysis of thermo mechanical coupling in Couette flow,” International Journal of Heat and Mass Transfer, 43, (2000) pp. 4205-4212.
  7. Budair, “Entropy analysis of unsteady flow on flat plate,” international journal renewable energy research, 25, (2001) pp. 519-524.
  8. S. Garcia-Colin, R. M. Velasco, F. J. Uribe, “Beyond the Navier-Stokes: Burnett hydrodynamics,” Physics Reports, 465, (2008) pp. 149–189.
  9. Xue, H. M. Ji, C. Shu, “Analysis of micro-Couette flow using the Burnett equations,” International Journal of Heat and Mass Transfer, 44, (2001) pp. 4139–4146.
  10. L. L. Walls, B. Abedian, “Bivelocity gas dynamics of micro-channel,” International Journal of Engineering Science, 79, (2014) pp. 21–29.
  11. Singh, N. Dongari, A. Agrawal, “Analytical solution of plan Poiseuille flow within Burnett hydrodynamics,” Microfluid Nanofluid, (2013) pp. 1224-1227.
  12. Singh, A. Gavasane, A. Agrawal, “Analytical solution of plane Couette flow in the transition regime and comparison with Direct Simulation Monte Carlo data,” Computers & Fluids, 97, (2014) pp. 177-187.
  13. A. Lockerby, J. M. Reese, “High resolution Burnett simulations of micro Couette flow and heat transfer,” journal of computational physics, 188, (2003) pp. 333–347.
  14. Xue, H. M. Ji, C. Shu, “Prediction of flow and heat transfer characteristics in micro Couette flow,” Microscale Thermo physical Engineering, 7 (2), (2003) pp. 51–68.
  15. A. Zahid, Y. Yin, K. Zhu, “Couette-Poiseuille flow of a gas in long micro channels,” Microfluid Nanofluid, 3, (2007) pp.55-64.
  16. Beskok, G. E. Karniadakis, W. Trimmer, “Rarefaction and compressibility effects in gas microflows,” ASME journal of fluids engineering, 118, (1996) pp. 448–456.
  17. Jang, S.T. Wereley, “Pressure distributions of gaseous slip flow in straight and uniform rectangular microchannels,” Microfluid Nanofluid, 1, (2004) pp. 41–51.
  18. Bao, J. Lin, “Burnett simulation of gas flow and heat transfer in micro Poiseuille flow,” International Journal of Heat and Mass Transfer, 51, (2008) pp. 4139–4144.
  19. E. Karniadakis, A Beskok, N. Aluru, Microflows and Nanoflows: fundamentals and simulation, Springer, NewYork, 66-145(2005).
  20. Schamberg, The Fundamental Differential Equations and the Boundary Conditions for High Speed Slip Flow and Their Application to Several Specific Problems, PhD thesis, California Institute of Technology (1947).
  21. Kandlikar, S.Garimella, D. Li, S. Colin, M. R. King, Heat Transfer and Fluid flow in Minichannels and Microchannels, Elsevier Science, (2005).
  22. G. Deissler, “An analysis of second order slip flow and temperature-jump boundary conditions for rarefied gases,” Heat and Mass Transfer, 7, (1964) pp. 681–694.
آمار
تعداد مشاهده مقاله: 1,087
تعداد دریافت فایل اصل مقاله: 487


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب