Skip to main content
SpringerLink
Log in

Investigation of the effect of transverse thermal dispersion on forced convection in porous media

  • Original Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

In this paper an analytical study of the effect of the transverse thermal dispersion on fully developed forced convection in a parallel-plate channel filled with an isotropic fluid saturated porous medium is carried out. It is assumed that the momentum flow in the channel is governed by the Brinkman-Forchheimer-extended Darcy equation. The objective of the present research is to determine in which situations thermal dispersion can significantly influence heat transfer in the channel.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Plumb, O. A.: The effect of thermal dispersion on heat transfer in packed bed boundary layers. Proc. ASME JSME Thermal Engineering Joint Conference, vol. 2, pp. 17–22 (1983).

    Google Scholar 

  2. Hong, J. T., Tien, C. L.: Analysis of thermal dispersion effect on vertical-plate natural convection in porous media. Int. J. Heat Mass Transfer30, 143–150 (1987).

    Google Scholar 

  3. Plumb, O. A., Whitaker, S.: Dispersion in heterogeneous porous media. 2. Predictions for stratified and two-dimensional spacially periodic systems. Water Resources Res.24, 913–926 (1988).

    Google Scholar 

  4. Plumb, O. A., Whitaker, S.: Dispersion in heterogeneous porous media. 1. Local volume averaging and large-scale averaging. Water Resources Res.24, 927–938 (1988).

    Google Scholar 

  5. Hunt, M. L., Tien, C. L.: Non-Darcian convection in cylindrical packed beds. ASME J. Heat Transfer110, 378–384 (1988).

    Google Scholar 

  6. Hsu, C. T., Cheng, P.: Thermal dispersion in a porous medium. Int. J. Heat Mass Transfer33, 1587–1597 (1990).

    Google Scholar 

  7. Nakayama, A.: PC-Aided numerical heat transfer and convective flow. Boca Raton: CRC Press 1995.

    Google Scholar 

  8. Hsieh, W. H., Lu, S. F.: Heat-transfer analysis of thermally-developing region of annular porous media. Proc. 11th International Heat Transfer Conference, vol. 4, pp. 447–452 (1998).

    Google Scholar 

  9. Nield, D. A., Bejan, A.: Convection in porous media, 2nd ed. New York: Springer 1999.

    Google Scholar 

  10. Kaviany, M.: Laminar flow through a porous channel bounded by isothermal parallel plates. Int. J. Heat Mass Transfer28, 851–858 (1985).

    Google Scholar 

  11. Poulikakos, D., Kazmierczak, M.: Forced convection in a duct partially filled with a porous material. ASME J. Heat Transfer109, 653–662 (1987).

    Google Scholar 

  12. Cheng, P., Hsu, C. T., Chowdhury, A.: Forced convection in the entrance region of a packed channel with asymmetric heating. ASME J. Heat Transfer110, 946–954 (1988).

    Google Scholar 

  13. Nakayama, A., Koyama, H., Kuwahara, F.: An analysis on forced convection in a channel filled with a Brinkman-Darcy porous medium: Exact and approximate solutions. Wärme-und Stoffübertragung23, 291–295 (1988).

    Google Scholar 

  14. Vafai, K., Kim, S. J.: Forced convection in a channel filled with a porous medium: an exact solution. ASME J. Heat Transfer111, 1103–1106 (1989).

    Google Scholar 

  15. 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).

    Google Scholar 

  16. Kuznetsov, A. V.: Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium. Flow, Turbulence and Combustion60, 173–192 (1998).

    Google Scholar 

  17. Bejan, A.: Convection heat transfer, 2nd ed. New York: Wiley 1995.

    Google Scholar 

  18. Amiri, A., Vafai, K.: Analysis of dispersion effects and non-thermal equilibrium, non-Darcian, variable porosity incompressible flow through porous media. Int. J. Heat Mass Transfer37, 939–954 (1994).

    Google Scholar 

  19. Amiri, A., Vafai, K.: Transient analysis of incompressible flow through a packed bed. Int. J. Heat Mass Transfer41, 4259–4279 (1998).

    Google Scholar 

  20. Wakao, N., Kaguei, S.: Heat and mass transfer in packed beds. New York: Gordon and Breach 1982.

    Google Scholar 

  21. 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 Transfer117, 1097–1098 (1995).

    Google Scholar 

Download references

Author information

Author notes

  1. A. V. Kuznetsov

    Present address: Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, 27695-7910, Raleigh, NC, U.S.A.

Authors and Affiliations

    Authors
    1. A. V. Kuznetsov
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Kuznetsov, A.V. Investigation of the effect of transverse thermal dispersion on forced convection in porous media. Acta Mechanica 145, 35–43 (2000). https://doi.org/10.1007/BF01453643

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01453643

    Keywords

    Search

    Navigation