THERMAL SCIENCE

International Scientific Journal

Mohsen Nazari

,

Esmaeel Shakeri Nejad

,

Mohhamad Hasan Kayhani

THERMAL NON-EQUILIBRIUM HEAT TRANSFER IN A POROUS CAVITY IN THE PRESENCE OF BIO-CHEMICAL HEAT SOURCE

ABSTRACT
This paper is concerned with thermal non-equilibrium natural convection in a square cavity filled with a porous medium in the presence of a biomass which is transported in the cavity. The biomass can consume a secondary moving substrate. The physics of the presented problem is related to the analysis of heat and mass transfer in a composting process that controlled by internal heat generation. The intensity of the bio-heat source generated in the cavity is equal to the rate of consumption of the substrate by the biomass. It is assumed that the porous medium is homogeneous and isotropic. A two-field model that represents the fluid and solid phase temperature fields separately is used for energy equation. A simplified Monod model is introduced along with the governing equations to describe the consumption of the substrate by the biomass. In other word, the transient biochemical heat source which is dependent on a solute concentration is considered in the energy equations. Investigation of the biomass activity and bio-chemical heat generation in the case of thermal non-equilibrium assumption has not been considered in the literature and they are open research topics. The effects of thermal non-equilibrium model on heat transfer, flow pattern and biomass transfer are investigated. The effective parameters which have a direct impact on the generated bio-chemical heat source are also presented. The influences of the non-dimensional parameters such as fluid-to-solid conductivity ratio on the temperature distribution are presented.
KEYWORDS
porous medium, thermal non-equilibrium, bio-chemical heat source, monod model
PAPER SUBMITTED: 2011-10-10
PAPER REVISED: 2013-10-01
PAPER ACCEPTED: 2013-10-28
PUBLISHED ONLINE: 2014-02-09
DOI REFERENCE: https://doi.org/10.2298/TSCI111010001N
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 2, PAGES [579 - 590]
REFERENCES
  1. Baytas, A. C., Pop I., Free convection in a square porous cavity using a thermal non-equilibrium model, Int. J. Therm. Sci., 41 (2002), pp. 861-870
  2. Varol, Y., Oztop, H. F., Pop, I., Numerical analysis of natural convection for a porous rectangular enclosure with sinusoidally varying temperature profile on the bottom wall, Int. J. Heat Mass Transfer, 35 (2008), pp. 56-64
  3. El-Fadel, M., Findikakis, A. N., Leckie, J. O., Numerical modeling of Generation and transport of gas and heat in landfill I Model Formulation, Waste Manag. Res., 14 (1996), pp. 483-504
  4. Larsen, K. L., McCartney, D. M., Effect of C:N ratio on microbial activity and N retention: bench-scale study using pulp and paper biosolids, Compost Sci. Util., 8 (2000), pp. 147-159
  5. Chamkha, A.J., Double-diffusive convection in a porous Enclosure with cooperating temperature and concentration Gradients and heat generation or absorption Effect, Num. Heat Transfer, Part A, 41 (2002), pp. 65-87
  6. Prud'homme, M., Jasmin, S., Determination of a heat source in porous medium With convective mass diffusion by an inverse method Mass Transfer, Int. J. Heat Mass Transfer, 46 (2003), pp. 2065-2075
  7. Jasmin, S., Prud'homme, M., Inverse determination of a heat source from a solute Concentration generation model in porous medium, Int. J. Heat Mass Transfer, 32 (2005), pp. 43-53
  8. Saghir, M. Z., Heat and mass transfer in a multi-porous cavity, Int. Comm. Heat Mass Transfer, 25 (1998), 7, pp.1019-1030
  9. Bilgen, E., Ben Yedder, R., Natural convection in enclosure with heating and cooling by sinusoidal temperature profiles on one side, Int. J. Heat Mass Transfer, 50 (2007), pp. 139-150
  10. Storesletten, L., Pop, I., Free convection in a vertical porous layer with walls at non-uniform temperature, Fluid Dyn. Res., 17 (1996), pp.107-119
  11. Bradean, R., Ingham, D. B., Heggs, P. J., Pop, I., Free convection fluid flow due to a periodically heated and cooled vertical flat plate embedded in a porous media, Int. J. Heat Mass Transfer, 39 (1996), pp. 2545-2557
  12. Baytas, A. C., Pop, I., Free convection in oblique enclosures filled with a porous medium, Int. J. Heat Mass Transfer, 42 (1999), pp. 1047-1057
  13. Bhadauria, B. S., Srivastava, A.K., Magneto-double diffusive convection in an electrically conducting-fluid-saturated porous medium with temperature modulation of the boundaries, Int. J. Heat Mass Transfer, 53 (2010), pp. 2530-2538
  14. Patankar, S., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corp., New York, 1980
  15. Kayhani, M. H., Nazari, M., Shakeri Nejad, E., The Effects of Fluid-to-Solid Conductivity Ratio, Rayleigh Number and Interstitial Heat Transfer Coefficient on the TNE Free Convection in a Porous Enclosure, Transp Porous Med, 87 (2011), pp. 625-633l heat source, monod model
PDF VERSION [DOWNLOAD]
Thermal non-equilibrium heat transfer in a porous cavity in the presence of bio-chemical heat source

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence