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Heatline and Energy-Flux-Vector Visualization of Natural Convection in a Porous Cavity Occupied by a Fluid with Temperature-Dependent Viscosity

卷 12, 册 3, 2009, pp. 265-275
DOI: 10.1615/JPorMedia.v12.i3.60
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Kamel Hooman
Department of Process and Energy, Delft University of Technology, Delft 2628 CB, The Netherlands
Hal Gurgenci
School of Mechanical and Mining Engineering, The University of Queensland, Brisbane, QLD 4072, Australia
Ibrahim Dincer
Faculty of Engineering and Applied Science, University of Ottawa Institute of Technology, Ontario L1H 7K4, Canada

摘要

Temperature-dependent viscosity effects in buoyancy-driven flow in a porous saturated enclosure is studied numerically, based on the general model of momentum transfer in a porous medium. The exponential form of the viscosity-temperature relation is applied. Both cases of viscosity increase and decrease versus temperature are considered. Application of the effective Rayleigh number concept and the reference temperature approach are investigated. Use of heat lines and energy flux vectors are illustrated for a more comprehensive analysis of the problem.

对本文的引用

  1. Satish Kaluri Ram, Basak Tanmay, Heatline analysis of thermal mixing due to natural convection in discretely heated porous cavities filled with various fluids, Chemical Engineering Science, 65, 6, 2010. Crossref

  2. Kaluri Ram Satish, Basak Tanmay, Roy S., Heatline approach for visualization of heat flow and efficient thermal mixing with discrete heat sources, International Journal of Heat and Mass Transfer, 53, 15-16, 2010. Crossref

  3. Hooman K., Merrikh A. A., Theoretical Analysis of Natural Convection in an Enclosure Filled with Disconnected Conducting Square Solid Blocks, Transport in Porous Media, 85, 2, 2010. Crossref

  4. Ejlali A., Hooman K., Buoyancy Effects on Cooling a Heat Generating Porous Medium: Coal Stockpile, Transport in Porous Media, 88, 2, 2011. Crossref

  5. Ejlali A., Aminossadati S.M., Hooman K., Beamish B.B., A new criterion to design reactive coal stockpiles, International Communications in Heat and Mass Transfer, 36, 7, 2009. Crossref

  6. RONG FUMEI, GUO ZHAOLI, ZHANG TING, SHI BAOCHANG, NUMERICAL STUDY OF BÉNARD CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY IN A POROUS CAVITY VIA LATTICE BOLTZMANN METHOD, International Journal of Modern Physics C, 21, 11, 2010. Crossref

  7. Saleh H., Arbin N., Roslan R., Hashim I., Visualization and analysis of surface tension and cooling effects on differentially heated cavity using heatline concept, International Journal of Heat and Mass Transfer, 55, 21-22, 2012. Crossref

  8. Ejlali Azadeh, Ejlali Arash, Hooman Kamel, Gurgenci Hal, Application of high porosity metal foams as air-cooled heat exchangers to high heat load removal systems, International Communications in Heat and Mass Transfer, 36, 7, 2009. Crossref

  9. Arbin N., Saleh H., Hashim I., Chamkha A.J., Numerical investigation of double-diffusive convection in an open cavity with partially heated wall via heatline approach, International Journal of Thermal Sciences, 100, 2016. Crossref

  10. Hussain Salam Hadi, Analysis of heatlines and entropy generation during double-diffusive MHD natural convection within a tilted sinusoidal corrugated porous enclosure, Engineering Science and Technology, an International Journal, 19, 2, 2016. Crossref

  11. Rameshwar Y., Rawoof Sayeed M.A., Rani H.P., Laroze D., Finite amplitude cellular convection under the influence of a vertical magnetic field, International Journal of Heat and Mass Transfer, 114, 2017. Crossref

  12. Biswal Pratibha, Basak Tanmay, Investigation of natural convection via heatlines for Rayleigh–Bénard heating in porous enclosures with a curved top and bottom walls, Numerical Heat Transfer, Part A: Applications, 72, 4, 2017. Crossref

  13. Nield Donald A., Bejan Adrian, Forced Convection, in Convection in Porous Media, 2017. Crossref

  14. Mahapatra Pallab Sinha, Mukhopadhyay Achintya, Manna Nirmal K., Ghosh Koushik, Heatlines and other visualization techniques for confined heat transfer systems, International Journal of Heat and Mass Transfer, 118, 2018. Crossref

  15. Guzmán J.E.V., Hernández-Arrieta I., Vicente W., Salinas-Vazquez M., Martínez-Espinosa E., Non-local entropy evolution in heat exchangers with elliptical and circular tube geometries, International Journal of Thermal Sciences, 134, 2018. Crossref

  16. Lin Yan-Ting, Cho Ching-Chang, Analysis of Energy Flux Vector on Natural Convection Heat Transfer in Porous Wavy-Wall Square Cavity with Partially-Heated Surface, Energies, 12, 23, 2019. Crossref

  17. Anandalakshmi R., Basak Tanmay, Lukose Leo, Numerical visualization via heatlines for natural convection in porous bodies of rhombic shapes subjected to thermal aspect ratio-based heating of walls, Numerical Heat Transfer, Part A: Applications, 76, 9, 2019. Crossref

  18. Tao Wen-Quan, He Ya-Ling, Chen Lei, A comprehensive review and comparison on heatline concept and field synergy principle, International Journal of Heat and Mass Transfer, 135, 2019. Crossref

  19. Cho Ching-Chang, Effects of porous medium and wavy surface on heat transfer and entropy generation of Cu-water nanofluid natural convection in square cavity containing partially-heated surface, International Communications in Heat and Mass Transfer, 119, 2020. Crossref

  20. Cho Ching-Chang, Natural convection of Cu-water nanofluid in enclosed cavity with porous effect and wavy surface based on energy-flux-vector visualization method, Physics of Fluids, 32, 10, 2020. Crossref

  21. Anandalakshmi R., Basak Tanmay, Heatline Analysis for Natural Convection within Porous Rhombic Cavities with Isothermal/Nonisothermal Hot Bottom Wall, Industrial & Engineering Chemistry Research, 51, 4, 2012. Crossref

  22. Basak Tanmay, Pradeep P. V. Krishna, Roy S., A Complete Heatline Analysis on Visualization of Heat Flow and Thermal Mixing during Mixed Convection in a Square Cavity with Various Wall Heating, Industrial & Engineering Chemistry Research, 50, 12, 2011. Crossref

  23. Hooman Kamel, Energy flux vectors as a new tool for convection visualization, International Journal of Numerical Methods for Heat & Fluid Flow, 20, 2, 2010. Crossref

  24. Rameshwar Y., Srinivas G., Laroze D., Rawoof Sayeed M.A., Rani H.P., Convective instabilities in binary mixture 3He-4He in porous media, Chinese Journal of Physics, 77, 2022. Crossref

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