Natural Convection in a Nanofluid Saturated Rotating Porous Layer with Thermal Non-Equilibrium Model

详细信息    查看全文

• 作者：Shilpi Agarwal (1) shilpiagarwal.2006@gmail.com
  B. S. Bhadauria (2) drbsbhadauria@rediffmail.com
• 关键词：Local thermal non ; equilibrium &#8211 ; Nanofluid &#8211 ; Porous medium &#8211 ; Instability &#8211 ; Natural convection
• 刊名：Transport in Porous Media
• 出版年：2011
• 出版时间：November 2011
• 年：2011
• 卷：90
• 期：2
• 页码：627-654
• 全文大小：4.4 MB
• 参考文献：1. Agarwal S., Bhadauria B.S., Siddheshwara P.G.: Thermal instability of a nanofluid saturating a rotating anisotropic porous medium. Special Topics Rev. Porous Media 2(1), 53–64 (2011)
  2. Baytas A.C., Pop I.: Free convection in a square porous cavity using a thermal non-equilibrium model. Int. J. Therm. Sci. 41, 861–870 (2002)
  3. Baytas A.C.: Thermal non-equilibrium natural convection in a square enclosure filled with a heat generating solid phase non-Darcy porous medium. Int. J. Energy Res. 27, 975–988 (2003)
  4. Bhadauria B.S., Agarwal S.: Natural convection in a nanofluid saturated rotating porous layer: A nonlinear study. Transp. Porous Media 87(2), 585–602 (2011a)
  5. Bhadauria B.S., Agarwal S.: Convective transport in a nanofluid saturated porous layer with thermal non equilibrium model. Transp. Porous Media 88(1), 107–131 (2011b)
  6. Buongiorno J.: Convective transport in nanofluids. ASME J. Heat Transf. 128, 240–250 (2006)
  7. Buongiorno, J., Hu, W.: Nanofluid coolant for advanced nuclear power plants. Paper No. 5705, In: Proceedings of ICAPP’05, Seoul, 15–19 May 2005
  8. Choi, S.: Enhancing thermal conductivity of fluids with nanoparticles. In: Signier, D.A., Wang, H.P. (eds.) Development and Applications of Non-Newtonian flows, ASME FED, vol. 231/MD vol. 66, pp. 99–105 (1995)
  9. Das S.K., Putra N., Thiesen P., Roetzel W.: Temperature dependence of thermal conductivity enhancement for nanofluids. ASME J. Heat Transf. 125, 567–574 (2003)
  10. Eastman J.A., Choi S.U.S., Yu W., Thompson L.J.: Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl. Phys. Lett. 78, 718–720 (2001)
  11. Eastman J.A., Choi S.U.S., Yu W., Thompson L.J.: Thermal transport in nanofluids. Annu. Rev. Mater Res. 34, 219–246 (2004)
  12. Horton W., Rogers F.T.: Convection currents in a porous medium. J. Appl. Phys. 16, 367–370 (1945)
  13. Ingham D.B., Pop I.: Transport Phenomena in Porous Media. Pergamon, Oxford (1998)
  14. Ingham D.B., Pop I.: Transport Phenomena in Porous Media, vol. 3. Elsevier, Oxford (2005)
  15. Keblinski P., Cahil D.G.: Comments on model for heat conduction in nanofluids. Phy. Rev. Lett. 95, 209401 (2005)
  16. Kim J., Kang Y.T., Choi C.K.: Analysis of convective instability and heat transfer characteristics of nanofluids. Phys. Fluids 16, 2395–2401 (2004)
  17. Kim J., Choi C.K., Kang Y.T., Kim M.G.: Effects of thermodiffusion and nanoparticles on convective instabilities in binary nanofluids. Nanoscale Microscale Thermophys. Eng. 10, 29–39 (2006)
  18. Kim J., Kang Y.T., Choi C.K.: Analysis of convective instability and heat transfer characteristics of nanofluids. Int. J. Refrig. 30, 323–328 (2007)
  19. Kleinstreuer C., Li J., Koo J.: Microfluidics of nano-drug delivery. Int. J. Heat Mass Transf. 51, 5590–5597 (2008)
  20. Kuznetsov A.V.: Thermal nonequilibrium forced convection in porous Media. In: Ingham, D.B., Pop, I. (eds) Transport Phenomenon in Porous Media, pp. 103–130. Pergamon, Oxford (1998)
  21. Kuznetsov A.V., Nield D.A.: Thermal instability in a porous medium layer saturated by a nanofluid: Brinkman model. Trans. Porous Med. 81, 409–422 (2010a)
  22. Kuznetsov A.V., Nield D.A.: Effect of local thermal non-equilibrium on the onset of convection in porous medium layer saturated by a Nanofluid. Transp Porous Medium 83, 425–436 (2010b)
  23. Kuznetsov A.V., Nield D.A.: Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Thermal Sci. 49, 243–247 (2010c)
  24. Kuznetsov A.V., Nield D.A.: The onset of double-diffusive nanofluid convection in a layer of a saturated porous medium. Transp. Porous Media 85, 941–951 (2010d)
  25. Kuznetsov A.V., Nield D.A.: Double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Thermal Sci. 50, 712–717 (2011)
  26. Lapwood E.R.: Convection of a fluid in a porous medium. Proc. Cambridge Phil. Soc. 44, 508–521 (1948)
  27. Malashetty M.S.: Anisotropic thermo convective effects on the onset of double diffusive convection in a porous medium. Int. J. Heat Mass Transf. 36, 2397–2401 (1993)
  28. Malashetty M.S., Shivakumara I.S., Sridhar K.: The onset of Lapwood-Brinkman convection using a thermal nonequilibrium model. Int. J. Heat Mass Transf. 48, 1155–1163 (2005a)
  29. Malashetty M.S., Shivakumara I.S., Sridhar K.: The onset of convection in an anisotropic porous layer using a thermal non-equilibrium model. Transp. Porous Media 60, 199–215 (2005b)
  30. Malashetty M.S., Swamy M.S., Heera R.: Double diffusive convection in a porous layer using a thermal non-equilibrium model. Int. J. Therm. Sci. 47, 1131–1147 (2008)
  31. Masuda H., Ebata A., Teramae K., Hishinuma N.: Alteration of thermal conductivity and viscosity of liquid by dispersing ultra fine particles. Netsu Bussei 7, 227–233 (1993)
  32. Murray B.T., Chen C.F.: Double diffusive convection in a porous medium. J. Fluid Mech. 201, 147–166 (1989)
  33. Nield D.A.: Onset of thermohaline convection in a porous medium. Water Resour. Res. 4, 553–560 (1968)
  34. Nield D.A., Bejan A.: Convection in Porous Media, 3rd edn. Springer, New York (2006)
  35. Nield D.A., Kuznetsov A.V.: Thermal instability in a porous medium layer saturated by nanofluid. Int. J. Heat Mass Transf. 52, 5796–5801 (2009a)
  36. Nield D.A., Kuznetsov A.V.: The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int. J. Heat Mass Transf. 52, 5792–5795 (2009b)
  37. Nield D.A., Kuznetsov A.V.: The effect of local thermal nonequilibrium on the onset of convection in a nanofluid. J. Heat Transf. 132, 052405 (2010a)
  38. Nield D.A., Kuznetsov A.V.: The onset of convection in a horizontal nanofluid layer of finite depth. Eur. J. Mech. B 29, 217–223 (2010b)
  39. Nield D.A., Kuznetsov A.V.: The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid. Int. J. Heat Mass Transf. 54, 374–378 (2011)
  40. Rees D.A.S., Pop I.: Local thermal non-equilibrium in porous medium convection. In: Ingham, D.B., Pop, I. (eds) Transport Phenomena in Porous Media, vol. 3, pp. 147–173. Elsevier, Oxford (2005)
  41. Rudraiah N., Malashetty M.S.: The influence of coupled molecular diffusion on the double diffusive convection in a porous medium. ASME J. Heat Transf. 108, 872–876 (1986)
  42. Saeid N.H.: Analysis of mixed convection in a vertical porous layer using non-equilibrium model. Int. J. Heat Mass Transf. 47, 5619–5627 (2004)
  43. Straughan B.: Global non-linear stability in porous convection with a thermal non-equilibrium model. Proc. R. Soc. Lond. A 462, 409–418 (2006)
  44. Tzou D.Y.: Instability of nanofluids in natural convection. ASME J. Heat Transf. 130, 072401 (2008a)
  45. Tzou D.Y.: Thermal instability of nanofluids in natural convection. Int. J. Heat Mass transf. 51, 2967–2979 (2008b)
  46. Vadasz, P.: Nanofluids suspensions: possible explanations for the apparent enhanced effective thermal conductivity, ASME paper #HT2005–72258. In: Proceedings of 2005 ASME Summer Heat Transfer Conference, San Francisco, CA, 17–22 July 2005
  47. Vadasz P.: Heat conduction in nanofluid suspensions. ASME J. Heat Transf. 128, 465–477 (2006)
  48. Vafai K.: Handbook of Porous Media. Taylor and Francis, Boca Raton (2005)
• 作者单位：1. DST-Centre for Interdisciplinary Mathematical Sciences, Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, 221005 India2. Department of Applied Mathematics and Statistics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, 226025 India
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634

文摘

In the present article, we study the effect of local thermal non-equilibrium on the linear and non-linear thermal instability in a nanofluid saturated rotating porous layer. The Darcy Model has been used for the porous medium, while the nanofluid layer incorporates the effect of Brownian motion along with thermophoresis. A three-temperature model is been used for the effect of local thermal non-equilibrium among the particle, fluid, and solid–matrix phases. The linear stability analysis is based on normal mode technique, while for nonlinear analysis a minimal representation of the truncated Fourier series analysis involving only two terms has been used.