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Effect of Axial Conduction in the Thermally Developing Region of the Channel Partially Filled with a Porous Medium: Constant Wall Heat Flux

Volume: 1 Issue: 1
Year of Publication: 2019
Authors: J. Sharath Kumar Reddy, D. Bhargavi


The numerical investigation on heat transfer in the thermal entrance region of channel partially filled with a porous medium with the effect of axial conduction subjected to the boundary condition uniform heat flux have been studied. Porous insert attached adjacent to the both walls of the channel. The flow in the fluid and porous region are governed by Poiseuille flow and Darcy-Brinkman model. The flow is assumed to be unidirectional. The effect of the various parameters such as Darcy number, Peclet number and porous fraction on the heat transfer coefficient has been studied. The local Nusselt number depends on the porous fraction. The effect of the axial conduction is high when Peclet number is small in the entrance region of the channel.


  1. Agrawal, H. C. (1960). Heat Transfer in Laminar Flow Between Parallel Plates at Small Peclet Numbers, Appl. Sci. Res., vol 9, pp. 177-189.

  2. Hennecke, D. K. (1968). Heat Transfer by Hagen-Poiseuille Flow in the Thermal Development Region with Axial Conduction, Warme- und Stoffubertragung., vol 1, pp. 177-184.

  3. Vick, B. and Ozisik, M. N. (1980). A Method of Analysis of Low Peclet Number Thermal Entry Region Problems with Axial Conduction, Letters in Heat and Mass Trans., vol 7, pp. 235-248.

  4. Mohan Jagadeesh Kumar, M. (2016). Effect of Axial Conduction and Viscous Dissipation on Heat Transfer for Laminar Flow Through a Circular Pipe, Perspectives in Science., vol 8, pp. 61-65.

  5. Lundberg, R. E., Mccuen, P. A. and Reynolds, W.C. (1963). Heat Transfer in Annular Passages. Hydro dynamically Developed Laminar Flow with Arbitrarily Prescribed Wall Temperatures Or Heat Fluxes, Int. J. Heat Mass Trans., vol 6, pp. 495-529.

  6. Worsoe-Schmidt, P. M. (1967). Heat Transfer in the Thermal Entrance Region Of Circular Tubes and Annular Passages with Fully Developed Laminar Flow, Int. J. Heat Mass Trans., vol 10, pp. 541-551.

  7. Nguyen, T. V. and Maclaine-cross, I. L. (1991). Simultaneously Developing, Laminar Flow, Forced Convection in the Entrance Region of Parallel Plates, J. heat trans., vol 113, pp. 837-842.

  8. Campo, A. and Salazar, A. (1986). Forced Convection-Axial Conduction Between Parallel Walls with Unequal Heat Fluxes, Warme- und Stoffubertragung., vol 20, pp. 177-181.

  9. Xiong, M. (2003). Thermally Developing Forced Convection in a Porous Medium: Parallel-Plate Channel or Circular Tube with Walls at Constant Heat Flux, J. Porous Media., vol 6.

  10. Shah, R. K. and London, A. L. (1978). Laminar Flow Forced Convection in Ducts, Advances in Heat Transfer. Supplement 1, Academic Press, New York.

  11. Nguyen, T. V. (1992). Laminar heat transfer for thermally developing flow in ducts, Int. J. Heat Mass Trans., vol 35, pp. 1733-1741.

  12. Nield, D. A., Kuznetsov, A. V. and Xiong, M. (2003). Thermally developing forced convection in a porous medium: parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects, Int. J. Heat and Mass Trans., vol 46, pp. 643-651.

  13. Ramjee, R. and Satyamurty, V. V. (2010). Local and Average Heat Transfer in the Thermally Developing Region of an Asymmetrically Heated Channel, Int. Journal of Heat and Mass Trans., vol 53, pp. 1654-1665.

  14. Satyamurty, V. V. and Bhargavi, D. (2010). Forced Convection in Thermally Developing Region of a Channel Partially Filled with a Porous Material and Optimal Porous Fraction, Int. J. Thermal Sciences., vol 49, pp. 319-332.

  15. Bhargavi, D. and Sharath Kumar Reddy, J. (2018). Effect of Heat Transfer in the Thermally Developing Region of the Channel Partially Filled with a Porous Medium: Constant Wall Heat Flux, Int. J. Thermal Sci., vol 130, pp. 484-495.

  16. Antia, H. M. (1991). Numerical Methods for Scientists and Engineers, Tata McGraw Hill, New Delhi, India.

  17. Dellinger, T. C. (1971). Computations on Non-equilibrium Merged Shock Layer by Successive Accelerated Replacement Scheme, AIAA Journal., vol 9, pp. 262-269.

  18. Bhargavi, D. and Sharath Kumar Reddy, J. (2017). Analytical Investigation of Laminar Forced Convection In a Channel Filled with Porous Material Subjected to Constant Wall Heat Flux, Int. J. Special topics and reviews in porous media., vol 8, pp. 1-16 .

  19. Jiang Pei-Xue., Li Meng., Tian-Jian Lu., Lie Yu and Ze-Pei Ren.(2004). Experimental research on convection heat transfer in sintered porous plate channels, Int. J. heat and mass transfer., vol 47, pp. 2085-2096.

  20. Bhargavi, D. (2011). Forced Convection Heat Transfer with Viscous Dissipation in Parallel Plate Channels Partially Filled with Porous material, Ph.D thesis, I.I.T Kharagpur, India.


Axial conduction; Porous medium; Thermal entrance region.

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