Perturbation Analysis of the Local Thermal Non-equilibrium Condition in a Fluid-Saturated Porous Medium Bounded by an Iso-thermal Channel

Transport in Porous Media

Volumn 102, Issue 2, 2014, Pages 139-152

  Dehghan, Maziar ^a   Valipour, Mohammad Sadegh ^a   Saedodin, Seyfollah ^a  

^a SEMNAN UNIVERSITY   (Iran)

Author keywords

Brinkman Forchheimer extended Darcy model; Channel flow; Conductivity ratio; Local thermal non equilibrium; Perturbation; Saturated porous medium

Indexed keywords

EID: 84893827842     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-013-0267-2     Document Type: Article

References (28)

1. Alazmi, B., Vafai, K.: Constant wall heat flux boundary conditions in porous media under local thermal non-equilibrium conditions. Int. J. Heat Mass Transf. 45, 3071-3087 (2002).
2. Hooman, K., Merrikh, A. A.: Analytical solution of forced convection in a duct of rectangular cross section saturated by a porous medium. ASME J. Heat Transf. 128, 596-600 (2006).
3. Hooman, K., Gurgenci, H.: Effects of viscous dissipation and boundary conditions on forced convection in a channel occupied by a saturated porous medium. Transp. Porous Med. 68, 301-319 (2007).
4. Hooman, K.: A perturbation solution for forced convection in a porous-saturated duct. J. Comput. App. Math. 211, 57-66 (2008).
5. Hung, Y., Tso, C. P.: Effects of viscous dissipation on fully developed forced convection in porous media. Int. Comm. Heat Mass Transf. 36, 597-603 (2009).
6. Kaviany, M.: Laminar flow through a porous channel bounded by isothermal parallel plates. Int. J. Heat Mass Transf. 28, 851-858 (1985).
7. Khandelwal, M. K., Bera, P.: A thermal non-equilibrium perspective on mixed convection in a vertical channel. Int. J. Thermal Sci. 56, 23-34 (2012).
8. Kuznetsov, A. V.: A perturbation solution for a nonthermal equilibrium fluid flow through a three-dimensional sensible heat storage packed bed. ASME J. Heat Transf. 118, 508-510 (1996).
9. Kuznetsov, A. V.: A perturbation solution for heating a rectangular sensible heat storage packed bed with a constant temperature at the walls. Int. J. Heat Mass Transf. 40, 1001-1006 (1997a).
10. Kuznetsov, A. V.: Thermal nonequilibrium, non-Darcian forced convection in a channel filled with a fluid saturated porous medium: a perturbation solution. Appl. Sci. Res. 57, 119-131 (1997b).
11. Mahmoudi, Y., Maerefat, M.: Analytical investigation of heat transfer enhancement in a channel partially filled with a porous material under local thermal non-equilibrium condition. Int. J. Thermal Sci. 50, 2386-2401 (2011).
12. Mahmud, S., Fraser, R. A.: Conjugate heat transfer inside a porous channel. Heat Mass Transf. 41, 568-575 (2005a).
13. Mahmud, S., Fraser, R. A.: Flow, thermal, and entropy generation characteristics inside a porous channel with viscous dissipation. Int. J. Thermal Sci. 44, 21-32 (2005b).
14. Mirzaei, M., Dehghan, M.: Investigation of flow and heat transfer of nanofluid in microchannel with variable property approach. Heat Mass Transf. 49, 1803-1811 (2013).
15. Nayfeh, A. H.: Introduction to Perturbation Techniques. Wiley, New York (1981).
16. Nield, D. A., Junqueira, S. L. M., Lage, J. L.: Forced convection in a fluid saturated porous medium channel with isothermal or isoflux boundaries. J. Fluid Mech. 322, 201-214 (1996).
17. Nield, D. A.: Effects of local thermal nonequilibrium in steady convective processes in a saturated porous medium: forced convection in a channel. J. Porous Media 1(2), 181-186 (1998).
18. Nield, D. A., Kuznetsov, A. V.: Local thermal nonequilibrium effects in forced convection in a porous medium channel: a conjugate problem. Int. J. Heat Mass Transf. 42, 3245-3252 (1999).
19. Nield, D. A., Kuznetsov, A. V.: The interaction of thermal nonequilibrium and heterogeneous conductivity effects in forced convection in layered porous channels. Int. J. Heat Mass Transf. 44, 4369-4373 (2001).
20. Nield, D. A., Kuznetsov, A. V., Xiong, M.: Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium. Int. J. Heat Mass Transf. 45, 4949-4955 (2002).
21. Nield, D. A., Kuznetsov, A. V.: Forced convection in a helical pipe filled with a saturated porous medium. Int. J. Heat Mass Transf. 47, 5175-5180 (2004).
22. Nield, D. A., Bejan, A.: Convection in Porous Media. Springer, New York (2006).
23. Qu, Z. G., Xu, H. J., Tao, W. Q.: Fully developed forced convective heat transfer in an annulus partially filled with metallic foams: an analytical solution. Int. J. Heat Mass Transf. 55, 7508-7519 (2012).
24. Schumann, T. E. W.: Heat transfer: liquid flowing through a porous prism. J. Franklin Inst. 208, 405-416 (1929).
25. Spiga, G., Spiga, M.: A rigorous solution to a heat transfer two-phase model in porous media and packed beds. Int. J. Heat Mass Transf. 24, 355-364 (1981).
26. Vafai, K., Kim, S. J.: Forced convection in a channel filled with a porous medium: an exact solution. ASME J. Heat Transf. 111, 1103-1106 (1989).
27. Vafai, K., Kim, S. J.: Discussion of the paper by A. Hadim "Forced convection in a porous channel with localized heat sources". ASME J. Heat Transf. 117, 1097-1098 (1995).
28. White, H. C., Korpela, S. A.: On the calculation of the temperature distribution in a packed bed for solar energy applications. Solar Energy 23, 141-144 (1979).