THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

online first only

Mathematical modelling of the conjugate natural convection in a closed system with the radiant heating source under conditions of radiant energy distribution by Lambert's cosine law

ABSTRACT
Various types of emitters are often used as energy sources in real engineering systems and technological processes. Investigations of heat transfer basic laws in such systems are of interest. We conducted mathematical modelling of conjugate heat transfer in a closed rectangular cavity under conditions of radiant energy source operating. Two - dimensional problem of conjugate natural convection in vorticity-stream function-temperature dimensionless variables has been numerically solved by means of the finite difference method. Radiant energy distribution along the gas-wall interfaces was set by Lamberts' cosine law. We obtained fields of temperature and stream functions in a wide range of governing parameters (Rayleigh number 104 ≤ Ra ≤ 106, the length of radiant heating source 0.15 ≤ D ≤ 0.6 ). Then we analyzed how heat-retaining properties of finite thickness heat-conducting walls made of different materials affect the heat transfer intensity. Differential characteristics distribution showed significant nonuniformity and nonstationarity of the conjugate heat transfer process under study.
KEYWORDS
PAPER SUBMITTED: 2016-01-20
PAPER REVISED: 2016-08-04
PAPER ACCEPTED: 2016-10-24
PUBLISHED ONLINE: 2016-11-06
DOI REFERENCE: https://doi.org/10.2298/TSCI160120256K
REFERENCES
  1. Sadin, R., et. al., The effect of temperature and slice thickness on drying kinetics tomato in the infrared dryer, Heat and Mass Transfer, 50 (2014), pp 501-507
  2. Zhu, K., et. al., Experimental study on the optimization of heat and mass transfer of industrial drying of the TiO2 bulb by infrared radiation, Journal of Thermal Science, 5 (1996), pp 278-284
  3. El-Mesery, H.S., Mwithiga, G., Performance of a convective, infrared and combined infraredconvective heated conveyor-belt dryer, Journal of Food Science and Technology, 52 (2015), pp 2721-2730
  4. Sudarushkin, Yu. K., et. al., Convective-Infrared Drying of a Polyamide-based Composite in a Fluidized Bed, Russian Journal of Applied Chemistry, 78 (2005), pp 1977-1980
  5. Allanic, N., et. al., Convective and radiant drying of a polymer aqueous solution, Heat and Mass Transfer, 43 (2007), pp 1087-1095
  6. Franz, F. P., et. al., Investigations on the Heating and drying of wood with infrared radiation, Wood Science and Technology, 1 (1967), pp 149-160
  7. Seyam, S., et. al., Experimental and numerical investigation of the radiant panel heating system using scale room model, Energy and Buildings, 82 (2014), pp. 130-141
  8. Aich, W., et. al., Numerical analysis of natural convection in a prismatic enclosure, Thermal Science, 15 (2011), pp. 1 - 15
  9. Cho, C.- C., et. al., Numerical investigation into natural convection heat transfer enhancement of copper - water nanofluid in a wavy wall enclosure, Thermal Science, 16 (2012), pp. 1309 - 1316
  10. Jani, S., et. al., Numerical investigation of natural convection heat transfer in a symmetrically cooled square cavity with a thin fin on its bottom wall, Thermal Science, 18 (2014), pp. 1119 - 1132
  11. Ghachem, K., et. al., Numerical study of heat and mass transfer optimization in a 3D inclined solar distiller, Thermal Science, (2015), pp. 1 - 15
  12. Ahmanache, A., Zeraibi, N., Numerical study of natural melt convection in cylindrical cavity with hot walls and cold bottom sink, Thermal Science, 17 (2013), pp. 853 - 864
  13. Saravanan, S., Sivaraj, C., Combined natural convection and thermal radiation in a square cavity with a nonuniformly heated plate, Computers & Fluids, 117 (2015), pp. 125 - 138
  14. Montiel-Gonzales, M., et. al., Theoretical and experimental study of natural convection with surface thermal radiation in a side open cavity, Applied Thermal Engineering, 75 (2015), pp. 1176 - 1186
  15. Zhao F.-Y., et. al., Conjugate natural convection in enclosures with external and integral heat source, International Journal of Engineering Science, 44 (2006), pp. 148 - 165
  16. Saeid, N.H., Conjugate natural convection in a vertical porous layer sandwiched by finite thickness wall, International Communications in Heat and Mass Transfer, 34 (2007), pp. 210 - 216
  17. Kuznetsov, G. V., et. al., Heat transfer under heating of a local region of a large production area by gas infrared radiators, Journal of Engineering Physics and Thermophysics, 86 (2013), pp. 519-524
  18. Kuznetsov G.V., Sheremet M.A., Conjugate natural convection in an enclosure with local heat sources, Computational Thermal Sciences, 1 (2009), pp. 341 - 360
  19. Hamimid, S., Guellal, M., Numerical analysis of combined natural convection - internal heat generation source - surface radiation, Thermal Science, (2014), pp. 1 - 14
  20. Kolsi, L., et. al., Combined radiation - natural convection in three-dimensional vertical cavities, Thermal Science, 15 (2011), pp. 327 - 339
  21. Montiel-Gonzales, M., et. al., Numerical study of heat transfer by natural convection and surface thermal radiation in an open cavity receiver, Solar Energy, 86 (2012), pp. 1118 - 1128
  22. Nounanegue, H.F., et. al., Heat transfer by natural convection, conduction and radiation in a inclined square enclosure bounded with a solid wall, International journal of Thermal Science, 48 (2009), pp. 871 - 880
  23. Saravanan, S., Sivaraj, C., Coupled thermal radiation and natural convection heat transfer in a cavity with a heated plate inside, International Journal of Heat and Fluid Flow, 40 (2013), pp. 54 - 64
  24. Kuznetsov G.V. et. al., Heat transfer under heating of a local region of a large production area by gas infrared radiators, Journal of Engineering Physics and Thermophysics, 86 (2013), pp. 519 - 524
  25. Nee A. E., Nagornova .T. A., Numerical investigation of conjugate heat transfer in a local working area in conditions of its radiant heating, IOP Conference Series: Materials Science and Engineering, 66 (2014), pp. 1-5
  26. Kuznetsov, G. V., et. al., Computational modeling of conjugate heat transfer in a closed rectangular domain under the conditions of radiant heat supply to the horizontal and vertical surfaces of enclosure structures, Journal of Engineering Physics and Thermophysics, 88 (2015), pp. 168-177
  27. Modest, M. F., Radiative Heat Transfer, Elsevier Science, New York, USA, 2003
  28. Roache, P. J., Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, NM, USA, 1976
  29. Samarskii, A.A., The Theory of Difference Schemes
  30. De Vahl Davis, G., Natural convection of air in a square cavity: a benchmark numerical solution, International Journal of Numerical Methods in Fluids, 3 (1983), pp. 249 - 264
  31. Dixit H.N., Babu, V., Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method, International Journal of Heat and Mass Transfer, 49 (2006), pp. 727-739
  32. Markatos, N.C., Pericleous, K. A., Laminar and turbulent natural convection in an enclosed cavity, International Journal of Heat and Mass Transfer, 27 (1984), pp. 755-772