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Nonsimilar Solutions for Mixed Convection in Non‐Newtonian Fluids Along a Vertical Plate in a Porous Medium

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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 a vertical plate with power‐law wall temperature 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. and Minkowycz, W. J.: Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys. Res. 82 (1977), 2040–2049.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  4. Minkowycz, W. J., Cheng, P. and Chang, C. H.: Mixed convection about a nonisothermal cylinder and sphere in a porous medium, Numer. Heat Transfer 8 (1985), 349–359.

    Google Scholar 

  5. Ranganathan, P. and Viskanta, R.: Mixed convection boundary layer flow along a vertical surface in a porous medium, Numer. Heat Transfer 7 (1984), 305–317.

    Google Scholar 

  6. Nakayama, A. and Pop, I.: A unified similarity transformation for free, forced and mixed convection in Darcy and non-Darcy porous media, Int. Heat Mass Transfer J. 28 (1985), 683–697.

    Google Scholar 

  7. Hsieh, J. C., Chen, T. S. and Armaly, B. F.: Nonsimilarity solutions for mixed convection from vertical surfaces in porous media, Int. Heat Mass Transfer J. 36 (1993), 1485–1493.

    Google Scholar 

  8. Kumari, M. and Gorla, R. S. R.: Combined convection along a non-isothermal vertical plate in a porous medium, Heat Mass Transfer J. 32 (1997), 393–398.

    Google Scholar 

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

    Google Scholar 

  10. Nakayama, A. and Koyama, H.: 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 (1991), 55–70.

    Google Scholar 

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

    Google Scholar 

  12. Gorla, R. S. R. and Kumari, M.: Combined convection from horizontal surfaces in a non-Newtonian fluid-saturated porous medium, J. Theo. Appl. Fluid Mech., 1997 (in print).

  13. Gorla, R. S. R., Shanmugam, K. and Kumari, M.: Nonsimilar solutions for mixed convection in non-Newtonian fluids along horizontal surfaces in porous media, Transport in Porous Media 28 (1997), 319–334.

    Google Scholar 

  14. Gorla, R. S. R., Shammugam, K. and Kumari, M.: Mixed convection in non-N ewtonian fluids along nonisothermal horizontal surfaces in porous media, Heat and Mass Transfer J., 33 (1998), 281–286.

    Google Scholar 

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Gorla, R.S.R., Kumari, M. Nonsimilar Solutions for Mixed Convection in Non‐Newtonian Fluids Along a Vertical Plate in a Porous Medium. Transport in Porous Media 33, 295–307 (1998). https://doi.org/10.1023/A:1006566004291

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  • DOI: https://doi.org/10.1023/A:1006566004291

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