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Effect of Viscous Dissipation and Axial Conduction in Thermally Developing Region of the Channel Partially Filled with a Porous Material Subjected to Constant Wall Heat Flux

Authors: D Bhargavi, J. Sharath Kumar Reddy

Abstract:

The present investigation has been undertaken to assess the effect of viscous dissipation and axial conduction on forced convection heat transfer in the entrance region of a parallel plate channel with the porous insert attached to both walls of the channel. The flow field is unidirectional. Flow in the porous region corresponds to Darcy-Brinkman model and the clear fluid region to that of plane Poiseuille flow. The effects of the parameters Darcy number, Da, Peclet number, Pe, Brinkman number, Br and a porous fraction γp on the local heat transfer coefficient are analyzed graphically. Effects of viscous dissipation employing the Darcy model and the clear fluid compatible model have been studied.

Keywords: viscous dissipation, porous material, channel partially filled with a porous material, axial conduction

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.3593196

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References:


[1] Agrawal, H. C., Heat Transfer in Laminar Flow between Parallel Plates at Small Peclet Numbers, Appl. Sci. Res., vol 9, pp. 177-189, 1960.
[2] Hennecke, D. K., Heat Transfer by Hagen-Poiseuille Flow in the Thermal Development Region with Axial Conduction, Warme- und Stoffubertragung., vol 1, pp. 177-184, 1968.
[3] Ramjee Repaka and Satyamurty, V. V., Local and Average Heat Transfer in the Thermally Developing Region of an Asymmetrically Heated Channel, Int. J. Heat Mass Transfer, 53, pp. 1654-1665, 2010.
[4] Mohan Jagadeesh Kumar, M., 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, 2016.
[5] Lundberg, R. E., Mccuen, P. A. and Reynolds, W.C., 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, 1963.
[6] Worsoe-Schmidt, P. M., 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, 1967.
[7] Nguyen, T. V. and Maclaine-cross, I. L., Simultaneously Developing, Laminar Flow, Forced Convection in the Entrance Region of Parallel Plates, J. heat trans., vol 113, pp. 837-842, 1991.
[8] Campo, A. and Salazar, A., Forced Convection-Axial Conduction Between Parallel Walls with Unequal Heat Fluxes, Warme- und Stoffubertragung., vol 20, pp. 177-181, 1986.
[9] Xiong, M., 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, 2003.
[10] Shah, R. K. and London, A. L., Laminar Flow Forced Convection in Ducts, Advances in Heat Transfer. Supplement 1, Academic Press, New York, 1978.
[11] Nguyen, T. V., Laminar heat transfer for thermally developing flow in ducts, Int. J. Heat Mass Trans., vol 35, pp. 1733-1741, 1992.
[12] Hooman, K., Haji-sheik, A. and Nield, D.A., Thermally developing Brinkman–Brinkman forced convection in rectangular ducts with isothermal walls, Int. J. Heat and Mass Trans., vol 50, pp. 3521–3533, 2007.
[13] Kuznetsov, A. V., Xiong, M. and Nield, D. A., Thermally Developing Forced Convection in a Porous Medium: Circular Duct with Walls at Constant Temperature, with Longitudinal Conduction and Viscous Dissipation Effects, Transport in Porous Media, vol 53, pp. 331–345, 2003.
[14] Nield, D. A., Kuznetsov, A. V. and Xiong, M., 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, 2003.
[15] Satyamurty, V. V. and Bhargavi, D., 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, 2010.
[16] Bhargavi, D. and Sharath Kumar Reddy, J., 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, 2018.
[17] Bejan, A., Convection Heat Transfer. Wiley, New York, 1984.
[18] Al-Hadhrami, A.K., Elliott, L. and Ingham, D.B., A New Model for Viscous Dissipation In Porous Media Across a Range of Permeability Values, Trans. Porous Media, vol. 53, pp. 117-122, 2003.
[19] Bhargavi, D. and Sharath Kumar Reddy, J., Analytical Investigation of Laminar Forced Convection with Viscous Dissipation in Parallel Plate Channels Partially Filled with a Porous Material: Constant Wall Heat Flux, Journal of Nanofluids, Volume 8, pp. 1-14, 2019.
[20] Ramjee, R. and Satyamurty, V. V., Effect of Viscous Dissipation on Forced Convection Heat Transfer in Parallel Plate Channels with Asymmetric Boundary Conditions", Proceedings of the ASME, International Mechanical Engineering Congress and Exposition IMECE2013 November 15-21, 2013, San Diego, California, USA.
[21] Schlichting, H. and Gersten, K., Boundary Layer Theory, Springer-Verlag, 2007.