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Nonsimilar Solutions for Mixed Convection in Non-Newtonian Fluids Along Horizontal Surfaces in Porous Media

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Abstract

A nonsimilar boundary layer analysis is presented for the problem of mixed convection in power-law type non-Newtonian fluids along horizontal surfaces with variable heat flux distribution. The mixed convection regime is divided into two regions, namely, the forced convection dominated regime and the free convection dominated regime. The two solutions are matched. Numerical results are presented for the details of the velocity and temperature fields. A discussion is provided for the effect of viscosity index on the surface heat transfer rate.

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References

  1. Cheng, P.: 1977, Similarity solutions for mixed convection from horizontal impermeable surfaces in saturated porous media, Int. J. Heat Mass Transfer 20, 893–898.

    Google Scholar 

  2. Cheng, P.: 1982, Mixed convection about a horizontal cylinder and a sphere in a fluid-saturated porous medium, Int. J. Heat Mass Transfer 25, 1245- 1247.

    Google Scholar 

  3. Nakayama, A. and Koyama, H.: 1987, A general similarity transformation for combined free and forced convection flows within a fluid-saturated porous medium, J. Heat Transfer 109, 1041–1045.

    Google Scholar 

  4. Cheng, P. and Minkowycz, W. J.: 1977, Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys. Res. 82, 2040–2049.

    Google Scholar 

  5. Gorla, R. S. R. and Zinolabedini, A.: 1987, Free convection from a vertical plate with nonuniform surface temperature and embedded in a porous medium, Trans. ASME, J. Energy Resour. Technol. 109, 26–30.

    Google Scholar 

  6. Gorla, R. S. R. and Tornabene, R.: 1988, Free convection from a vertical plate wth nonuniform surface heat flux and embedded in a porous medium, Transport in Porous Media 3, 95–106.

    Google Scholar 

  7. Pop, I. and Gorla, R. S. R.: 1991, Horizontal boundary layer natural convection in a porous medium with a gas, Transport in Porous Media 6, 159–171.

    Google Scholar 

  8. Aldoss, T. K., Chen, T. S. and Armaly, B. F.: 1993, Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium-variable wall temperature, Int. J. Heat Mass Transfer 36, 471- 477.

    Google Scholar 

  9. Chen, H. T. and Chen, C. K.: 1988, Free convection of non-Newtonian fluids along a vertical plate embedded in a porous medium, Trans. ASME, J. Heat Transfer 110, 257–260.

    Google Scholar 

  10. Nakayama, A. and Koyama, H.: 1991, Buoyancy induced flow of non-Newtonian fluids over a non-isothermal body of arbitrary shape in a fluid-saturated porous medium, Appl. Sci. Res. 48, 55–70.

    Google Scholar 

  11. Christopher, R. H. and Middleman, S.: 1965, Power-law flow through a packed tube, I&EC Fundamentals 4, 422–426.

    Google Scholar 

  12. Dharmadhikari, R. V. and Kale, D. D.: 1985, Flow of non-Newtonian fluids through porous media, Chem. Eng. Sci. 40, 527–529.

    Google Scholar 

  13. Gorla, R. S. R., Lee, J. K., Nakamura, S. and Pop, I.: 1933, Effects on transverse magnetic field on mixed convection in wall plume of power law fluids, Int. J. Eng. Sci. 31, 1035–1045.

    Google Scholar 

  14. Kumari, M., Gorla, R. S. R. and Byrd, L.: 1997, Mixed convection in non-Newtonian fluids along a horizontal plate in a porous medium, Trans. ASME, J. Energy Resour. Technol. 119, 34–37.

    Google Scholar 

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Gorla, R.S.R., Shanmugam, K. & Kumari, M. Nonsimilar Solutions for Mixed Convection in Non-Newtonian Fluids Along Horizontal Surfaces in Porous Media. Transport in Porous Media 28, 319–334 (1997). https://doi.org/10.1023/A:1006562122532

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  • DOI: https://doi.org/10.1023/A:1006562122532

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