Conjugate Heat Transfer in Closed Cavity with Porous Blocks

Document Type : مقاله کوتاه

Authors

• Mohsen Nazari ¹
• H Gerivani ²
• S. Tafakkor ³

¹ University of Shahrood

² Univ of Shahrood

³ Shahrood

10.22067/fum-mech.v29i1.51189

Abstract

In this paper, free convection heat transfer is completely analyzed in a closed cavity containing internal conducting blocks with arbitrary arrangement. Free convection heat transfer in the cavity is studied according to the variations of Rayleigh number, number of conducting blocks, arrangements of blocks and the porosity. The overall Nusselt number as a criterion of heat transfer is reported on the walls of the cavity. The obtained results show that the thermal effects of porosity and the arrangements of blocks in the cavity are less than the effects of Rayleigh number. However, increasing the number of blocks inside the cavity leads to a decrease in the overall Nusselt number.

Keywords

• porosity
• Conjugate heat transfer
• Porous cavity

---

References

1. Refai, A.G. and Yovanovich, M.M., "Influence of Discrete Heat Source Location on Natural Convection Heat Transfer in a Vertical Square Enclosure", J. Electron. Packag., Vol. 113, pp.268-274, (1991).

2. Nelson, J.E.B., Balakrishnan, A. R and Murthy, S.S., "Experiments on stratified chilled water tanks", Int. J. Refrig, Vol. 22, pp. 216-234, (1999).

3. De Vahl Davis, G., "Natural convection in a square cavity: A bench mark numerical solution", Int. J. Numer. Methods Fluids, Vol. 3, pp. 249–264, (1983).

4. Walker, K.L. and Homsy, G.M., "Convection in porous cavity", J. Fluid Mech., Vol. 87, pp. 449–474, (1978).

5. Bejan, A., "On the boundary layer regime in a vertical enclosure filled with a porous medium", Lett. Heat Mass Transfer, Vol. 6, pp. 93–102, (1979).

6. Prasad, V. and Kulacki, F.A., "Convective heat transfer in a rectangular porous cavity-effect of aspect ratio on flow structure and heat transfer", J. Heat Transfer, Vol. 106, pp. 158–165, (1984).

7. Beckermann, C., Viskanta, R. and Ramadhyani, S., "A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium, Numer", Heat Transfer, Vol. 10, pp. 557–570, (1986).

8. Baytas, A.C., "Entropy generation for natural convection in an inclined porous cavity", Int. J. Heat Mass Transfer, Vol. 43, pp. 2089-2099, (2000).

9. Moya, S.L., Ramos, E. and Sen, M., "Numerical study of natural convection in a tilted rectangular porous material", Int. J. Heat Mass Transfer, Vol. 30, pp.741–756, (1987).

10. Baytas, A.C., Pop, I., "Free convection in oblique enclosures filled with a porous medium", Int. J. Heat Mass Transfer, Vol. 42, pp. 1047–1057, (1999).

11. House, J.M., Beckermann, C. and Smith, T.F., "Effect of acentered conducting body on natural heat transfer in aenclosure, Numer", Heat Transfer A, Vol. 18, pp. 213–225, (1990).

12. Merrikh, A.A., Mohamad, A.A., "Blockage effects in naturalconvection in differentially heated enclosures", J. Enhanced Heat Transfer, Vol. 8, pp. 55–72, (2001).

13. Raji, A., Hasnaoui, M., Naïmi, M., Slimani, K. and Ouazzani, M.T., "Experimental and numerical study of heat and moisture transfers by natural convection in a cavity filled with solid obstacles", Comput. Fluids, Vol. 68, pp. 1–15, (2012).

14. Sheikhzadeha, G.A., Heydaria, R., Hajialigola, N. and Fattahia, A., "Heat and mass transfer by natural convection around a hot body in a rectangular cavity", Mechanical Engineering, Vol. 20, pp. 1474-1484, (2013).

15. Dixit, H.N. and Babu, V., "Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method", Int. J. Heat Mass Transfer, Vol. 49, pp. 727–739, (2006).