Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Effect of the Hydraulic Boundary Layer on the Convective Heat Transfer in Porous Media

유동 경계층이 다공성물질내 대류 열전달에 미치는 영향

  • 진재식 (한국과학기술연구원 열유동제어연구센터) ;
  • 이대영 (한국과학기술연구원 열유동제어연구센터) ;
  • 강병하 (한국과학기술연구원 열유동제어연구센터)
  • Published : 2000.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

Convective heat transfer in a channel filled with porous media has been analyzed in this paper. The two-equation model is applied for the heat transfer analysis with the velocity profile, considering both the inertia and viscous effects. Based on a theoretical solution, the effect of the velocity profile on the convective heat transfer is investigated in detail. The Nusselt number is obtained in terms of the relevant physical parameters, such as the Biot number for the internal heat exchange, the ratio of effective conductivities between the fluid and solid phases, and hydraulic boundary layer thickness. The results indicate that the influence of the velocity profile is characterized within two regimes according to the two parameters, the Biot number and the conductivity ratio between the phases. The decrease in the heat transfer due to the hydraulic boundary layer thickness is 15% at most within a practical range of the pertinent parameters.

Keywords

References

  1. Koh, J. C. Y. and Stevens, R. L., 1975, 'Enhancement of Cooling Effectiveness by Porous Materials in Coolant Passage,' ASME J Heat Transfer, Vol. 97, pp. 309-311
  2. Kuzay, T. M., Collins, J. T., Khounsary, A. M., and Morales, G., 1991, 'Enhanced Heat Transfer with Metal-Wool-Filled Tubes,' Proc. ASME/JSME Thermal Eng. Conf., pp. 145-151
  3. Fu, W.-S., Huang, H.-C., and Liou, W.-Y., 1996, 'Thermal Enhancement in Laminar Channel Flow with a Porous Block.' Int. J. Heat Mass Transfer, Vol. 39, pp.2165-2175 https://doi.org/10.1016/0017-9310(95)00208-1
  4. Vafai, K. and Tien, C. L., 1981, 'Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media,' Int. J. Heat Mass Transfer, Vol. 24, pp. 195-203 https://doi.org/10.1016/0017-9310(81)90027-2
  5. Beckermann C. and Viskanta R., 1987, 'Forced Convection Boundary Layer Flow and Heat Transfer Along a Flat Plate Embedded in a Porous Medium,' Int. J. Heat Mass Transfer, Vol. 30, pp.1547-1551 https://doi.org/10.1016/0017-9310(87)90188-8
  6. Vafai, K. and Kim, S. J., 1989, 'Forced Convection in a Channel Filled With a Porous Medium : An Exact Solution,' ASME J. Heat Transfer, Vol. 111, pp. 1103-1106
  7. Lee, D.-Y. and Vafai, K., 1999, 'Analytical Characterization and Conceptual Assessment of Solid and Fluid Temperature Differentials in Porous Media,' Int. J. Heat Mass Transfer, Vol. 42, pp. 423-435 https://doi.org/10.1016/S0017-9310(98)00185-9
  8. Kim, S. J. and Kim, D., 1999, 'Forced Convection in Microstructures for Electronic Equipment Cooling,' ASME J. Heat Transfer Vol. 121, pp. 635-645
  9. Beavers, G. S. and Sparrow, E. M., 1969, 'Non-Darcy Flow through Fibrous Media,' J. appl. Mech., Vol. 36, pp. 711-714