Skip to main content
Log in

Non-Darcy mixed convection flow with thermal dispersion on a vertical cylinder in a saturated porous medium

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

Summary

The non-Darcy mixed convection flow on a vertical cylinder embedded in a saturated porous medium has been studied taking into account the effect of thermal dispersion. Both forced flow and buoyancy force dominated cases with constant wall temperature condition have been considered. The governing partial differential equations have been solved numerically using the Keller box method. The results are presented for the buoyancy parameter which cover the entire regime of mixed convection flow ranging from pure forced convection to pure free convection. The effect of thermal dispersion is found to be more pronounced on the heat transfer than on the skin friction and it enhances the heat transfer but reduces the skin friction.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Nield, D. A., Bejan, A.: Convection in porous media. Berlin Heidelberg New York Tokyo: Springer 1992.

    Google Scholar 

  2. Plumb, O. A., Huenefeld, J. C.: Non-Darcy natural convection from heated surfaces in saturated porous media. Int. J. Heat Mass Transfer24, 765–768 (1981).

    Google Scholar 

  3. Kumari, M., Pop, I., Nath, G.: Non-Darcy natural convection from a heated vertical plate in saturated porous media with mass transfer. Int. Comm. Heat Mass Transfer12, 337–346 (1985).

    Google Scholar 

  4. Vasantha, R., Pop, I., Nath, G.: Non-Darcy natural convection over a slender vertical frustrum of a cone in a saturated porous medium. Int. J. Heat Mass Transfer29, 153–156 (1984).

    Google Scholar 

  5. Bejan, A., Poulikakos, D.: The non-Darcy regime for vertical boundary layer natural convection in a porous medium. Int. J Heat Mass Transfer27, 717–722 (1984).

    Google Scholar 

  6. Kumari, M., Pop, I., Nath, G.: Non-Darcy natural convection on a vertical cylinder in a saturted porous medium. Wärme-Stoffübertrag.20, 33–37 (1986).

    Google Scholar 

  7. Lai, F. C., Kulacki, F. A.: Non-Darcy convection from horizontal impermeable surfaces in saturated porous media. Int. J. Heat Mass Transfer30, 2189–2192 (1987).

    Google Scholar 

  8. Kumari, M., Takhar, H. S., Nath, G.: Non-Darcy double-diffusive mixed convection from heated vertical and horizontal plates in saturated porous media. Wärme-Stoffübertrag.23, 267–273 (1988).

    Google Scholar 

  9. Kumari, M., Nath, G.: Non-Darcy mixed convection buondary layer flow on a vertical cylinder in a saturated porous medium. Int. J. Heat Mass Transfer32, 183–187 (1989).

    Google Scholar 

  10. Ergun, S.: Fluid flow through packed columns. Chem. Eng. Prog.48, 89–94 (1952).

    Google Scholar 

  11. Cheng, P.: Thermal dispersion effects in non-Darcian convective flows in a saturated porous medium. Lett. Heat Mass Transfer8, 267–270 (1981).

    Google Scholar 

  12. Plumb, O. A.: The effect of thermal dispersion on heat transfer in packed boundary layers. In: Proc. 1st ASME/JSME Thermal Engng. Joint Conf. Vol. 2, 17–21 (1983).

  13. 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 

  14. Lai, F. C., Kulacki, F. A.: Thermal dispersion effects on non-Darcy convection over heated surfaces in saturated porous media. Int. J. Heat Mass Transfer32, 971–976 (1989).

    Google Scholar 

  15. Hunt, M. L., Tien, C. L.: Diffusion and dispersion regimes for boundary layer flow in a porous medium. In: Proc. National Heat Transfer Conf. ASME, Vol. 1, 635–641 (1988)

  16. Cebeci, T., Bradshaw, P.: Momentum transfer in boundary layers. New York: McGraw-Hill 1977.

    Google Scholar 

  17. Sparrow, E. M., Eickhorn, R., Gregg, I. L.: Combined forced and free convection in boundary layer. Phys. Fluids2, 319–328 (1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kumari, M., Nath, G. & Pop, I. Non-Darcy mixed convection flow with thermal dispersion on a vertical cylinder in a saturated porous medium. Acta Mechanica 100, 69–77 (1993). https://doi.org/10.1007/BF01176862

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01176862

Keywords

Navigation