Numerical study of high gradient thermobuoyant flow in a tilted cavity using a novel non-boussinesq algorithm

Numerical Heat Transfer; Part A: Applications

Volumn 58, Issue 12, 2010, Pages 984-1003

  Hosseinizadeh, S F ^a   Darbandi, M ^b   Heidarnataj, M ^c  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^c ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

BOUSSINESQ; DENSITY VARIATIONS; FLOW DOMAINS; FLUID PROPERTY; HIGH GRADIENT; IDEAL GAS; NATURAL CONVECTION HEAT TRANSFER; NUMERICAL HEAT TRANSFER; NUMERICAL STUDIES; RAYLEIGH NUMBER; SQUARE CAVITY; TEMPERATURE CHANGES; TEMPERATURE GRADIENT; TEMPERATURE VARIATION; TILT ANGLE; TWO-CAVITY; VARIABLE DENSITY;

AIR; ALGORITHMS; DOMAIN WALLS; NUMERICAL METHODS; WALLS (STRUCTURAL PARTITIONS);

HEAT CONVECTION;

EID: 78650166404     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407782.2010.529026     Document Type: Article

References (47)

1. M. Darbandi and G. E. Schneider, Thermobuoyancy Treatment for Electronic Packaging using an Improved Advection Scheme, ASME J. Electron. Packaging, vol. 125, pp. 244-250, 2003.
2. P. O. Iwanik and W. K. S. Chiu, Temperature Distribution of an Optical Fiber Traversing Through a Chemical Vapor Deposition Reactor, Numer. Heat Transfer A, vol. 43, pp. 221-237, 2003.
3. K. O. Lim, K. S. Lee, and T. H. Song, Primary and Secondary Instabilities in a Glass-Melting Surface, Numer. Heat Transfer A, vol. 36, pp. 309-325, 1999.
4. S. Singh and M. A. R. Sharif, Mixed Convective Cooling of a Rectangular Cavity with Inlet and Exit Openings on Differentially Heated Side Walls, Numer. Heat Transfer A, vol. 44, pp. 233-253, 2003.
5. M. Ohta, M. Akiyoshi, and E. Obata, A Numerical Study on Natural Convective Heat Transfer of Pseudoplastic Fluids in a Square Cavity, Numer. Heat Transfer A, vol. 41, pp. 357-372, 2002.
6. M. Lamsaadi, M. Naimi, M. Hasnaoui, and M. Mamou, Natural Convection in a Vertical Rectangular Cavity Filled with a Non-Newtonian Power Law Fluid and Subjected to a Horizontal Temperature Gradient, Numer. Heat Transfer A, vol. 49, pp. 969-990, 2006.
7. A. J. Chamkha, Hydromagnetic Combined Convective Flow in a Vertical Lid-Driven Cavity with Internal Heat Generation or Absorption, Numer. Heat Transfer A, vol. 41, pp. 529-546, 2002.
8. Y. Y. Yan, H. B. Zhang, and J. B. Hull, Numerical Modeling of Electrohydrodynamic (EHD) Effect on Natural Convection in an Enclosure, Numer. Heat Transfer A, vol. 46, pp. 453-471, 2004.
9. K. T. Yang, Transitions and Bifurcations in Laminar Buoyant Flows in Confined Enclosures, J. Heat Transfer, vol. 110, 1191-1204, 1988.
10. J. E. Hart, Stability of the Flow in a Differentially Heated Inclined Box, J. Fluid Mech., vol. 47, pp. 547-576, 1971.
11. J. H. Bae, J. M. Hyun, and H. S. Kwak, Buoyant Convection in a Cavity with a Baffle under Time-Periodic Wall Temperature, Numer. Heat Transfer A, vol. 39, pp. 723-736, 2001.
12. M. Darbandi, S. F. Hosseinizadeh, M. Saadat, and P. Farzinpour, Effect of Partition Wall on Natural Convection in Enclosures with High Temperature Gradients, The Second International Conference on Thermal Engineering Theory and Applications, Al Ain, UAE, January 3-6, pp. 1-5, 2006.
13. A. Ben-Nakhi and A. J. Chamkha, Effect of Length and Inclination of a Thin Fin on Natural Convection in a Square Enclosure, Numer. Heat Transfer A, vol. 50, pp. 389-407, 2006.
14. R. A. Kuyper, Th. H. Vandermeer, C. J. Hoogendoorn, and R. A. W. M. Henkes, Numerical Study of Laminar and Turbulent Natural Convection in an Inclined Square Cavity, Int. J. Heat Mass Transfer, vol. 36, pp. 2899-2911, 1993.
15. D. C. Lo, D. L. Young, K. Murugesan, C. C. Tsai, and M. H. Gou, Velocity-Vorticity Formulation for 3-D Natural Convection in an Inclined Cavity by DQ Method, Int. J. Heat Mass Transfer, vol. 50, pp. 479-491, 2007.
16. M. Rahman and M. A. R. Sharif, Numerical Study of Laminar Natural Convection in Inclined Rectangular Enclosures of Various Aspect Ratios, Numer. Heat Transfer A, vol. 44, pp. 355-373, 2003.
17. E. V. Kalabin, M. V. Kanashina, and P. T. Zubkov, Natural-Convective Heat Transfer in a Square Cavity with Time-Varying Side-Wall Temperature, Numer. Heat Transfer A, vol. 47, pp. 621-631, 2005.
18. B. Ghasemi and S. M. Aminossadati, Natural Convection Heat Transfer in an Inclined Enclosure Filled with a Water-Cuo Nanofluid, Numer. Heat Transfer A, vol. 55, pp. 807-823, 2009.
19. N. B. Cheikh, A. J. Chamkha, and B. B. Beya, Effect of Inclination on Heat Transfer, and Fluid Flow in a Finned Enclosure Filled with a Dielectric Liquid, Numer. Heat Transfer A, vol. 56, pp. 286-300, 2009.
20. M. A. Randriazanamparany, A. Skouta, and M. Daguenet, Numerical Study of the Transition Toward Chaos of Two-Dimensional Natural Convection within a Square Cavity, Numer. Heat Transfer A, vol. 48, pp. 127-147, 2005.
21. T. M. Shih and A. L. Ren, Combined Convective and Radiative Recirculating Flows in Enclosures, Numer. Heat Transfer, Part A, vol. 8, pp. 149-167, 1985.
22. C. Y. Han and S. W. Baek, The Effects of Radiation on Natural Convection in a Rectangular Enclosure Divided by Two Partitions, Numer. Heat Transfer A, vol. 37, pp. 249-270, 2000.
23. B. Mondal and S. C. Mishra, Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method, Numer. Heat Transfer A, vol. 5, pp. 18-41, 2009.
24. Y. K. Hong, S. W. Baek, and M. Y. Kim, Inverse Natural Convection Problem with Radiation in Rectangular Enclosure, Numer. Heat Transfer A, vol. 57, pp. 315-330, 2010.
25. R. E. Ayachi, A. Raji, M. Hasnaoui, and A. Bahlaoui, Combined Effect of Radiation, and Natural Convection in a Square Cavity Differentially Heated with a Periodic Temperature, Numer. Heat Transfer A, vol. 53, pp. 1339-1356, 2008.
26. D. S. Kumar, K. Murugesan, and H. R. Thomas, Numerical Simulation of Double Diffusive Mixed Convection in a Lid-Driven Square Cavity using Velocity-Vorticity Formulation, Numer. Heat Transfer A, vol. 54, pp. 837-865, 2008.
27. A. Khadiri, A. Amahmid, M. Hasnaoui, and A. Rtibi, Soret Effect on Double-Diffusive Convection in a Square Porous Cavity Heated and Salted from Below, Numer. Heat Transfer A, vol. 57, pp. 848-868, 2010.
28. S. Meftah, A. Ibrahim, D. Lemonnier, and A. Benbrik, Coupled Radiation and Double Diffusive Convection in Nongray Air-CO2 and Air-H2O Mixtures in Cooperating Situations, Numer. Heat Transfer A, vol. 56, pp. 1-19, 2009.
29. B. Abourida, M. Hasnaoui, and S. Douamna, Transient Natural Convection in a Square Enclosure with Horizontal Walls Submitted to Periodic Temperatures, Numer. Heat Transfer A, vol. 36, pp. 737-750, 1999.
30. N. H. Saeid and Y. Yaacob, Natural Convection in a Square Cavity with Spatial Side-Wall Temperature Variation, Numer. Heat Transfer A, vol. 49, pp. 683-697, 2006.
31. C. H. Cheng and K. S. Hung, Numerical Predictions of Thermal Convection in a Rectangular Enclosure with Oscillating Wall, Numer. Heat Transfer A, vol. 48, pp. 791-809, 2005.
32. Y. Yamaguchi and Y. Asako, Effect of Partition Wall on Natural Convection Heat Transfer in a Vertical Layer, J. Heat Transfer, vol. 123, pp. 441-449, 2001.
33. H. Paillère, P. Le Quéré, C. Weisman, J. Vierendeels, E. Dick, M. Braack, F. Dabbene, A. Beccantini, E. Studer, T. Kloczko, C. Corre, V. Heuveline, M. Darbandi, and S. F. Hosseinizadeh, Modelling of Natural Convection Flows with Large Temperature Differences: A Benchmark Problem for Low Mach Number Solvers. Part 2. Contributions, ESAIM: Math. Model. Numer. Analysis, vol. 39, pp. 617-621, 2005. (Pubitemid 40977984)
34. D. R. Chenoweth and S. Paolucci, Natural Convection in an Enclosed Vertical Air Layer with Large Horizontal Temperature Differences, J. Fluid Mech., vol. 169, pp. 173-210, 1986.
35. K. S. Hung and C. H. Cheng, Pressure Effects on Natural Convection for Non-Boussinesq Fluid in a Rectangular Enclosure, Numer. Heat Transfer A, vol. 41, pp. 515-528, 2002.
36. S. A. Suslov and S. Paolucci, Stability of Natural Convection Flow in a Tall Vertical Enclosure under Non-Boussinesq Conditions, Int. J. Heat Mass Transfer, vol. 38, pp. 2143-2157, 1995.
37. M. Darbandi and G. E. Schnieder, Application of an All-Speed Flow Algorithm to Heat Transfer Problems, Numer. Heat Transfer A, vol. 35, no. 7, pp. 695-715, 1999.
38. M. Darbandi and S. F. Hosseinizadeh, A General Strategy to Include Density Variation in Incompressible Algorithms, J. Thermophysics Heat Transfer, vol. 39, pp. 372-380, 2003.
39. H. K. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics, The Finite Volume Method, pp. 135-146, Longman, Malaysia, 1995.
40. M. Darbandi and S. F. Hosseinizadeh, Remarks on Numerical Prediction of Wall-Shear-Stress in Entry Flow Problems, Commun. Num. Meth. Eng., vol. 20, pp. 619-625, 2004.
41. M. Darbandi and S. F. Hosseinizadeh, A Two-Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows, J. Aerospace Sci. Technol., vol. 2, pp. 37-44, 2005.
42. M. Darbandi and S. F. Hosseinizadeh, Numerical Simulation of Thermobuoyant Flow with Large Temperature Variation, J. Thermophys. Heat Transfer, vol. 20, pp. 285-296, 2006.
43. M. Darbandi and S. F. Hosseinizadeh, Numerical Study of Natural Convection in Vertical Enclosures using a Novel Non-Boussinesq Algorithm, Numerical Heat Transfer A, vol. 52, pp. 849-873, 2007.
44. Y. Horibata, Numerical Simulation of a Low-Mach-Number Flow with a Large Temperature Variation, Comput. & Fluids, vol. 21, pp. 185-200, 1992.
45. D. Mukutmoni and K. T. Yang, Flow transitions and Pattern Selection of the Rayleigh-Benard Problem in Rectangular Enclosures, Sadhana-Academy Proceedings in Engineering Sciences, vol. 19, pp. 649-670, 1994.
46. F. J. Hamady, J. R. Lloyd, H. Q. Yang, and K. T. Yang, Study of Local Natural Convection Heat Transfer in an Inclined Enclosure, Int. J. Heat Mass Transfer, vol. 32, pp. 1697-1708, 1989.
47. A. Bairi, Nusselt-Rayleigh Correlations for Design of Industrial Elements: Experimental and Numerical Investigation of Natural Convection in Tilted Square Air Filled Enclosures, Energ. Convers. Management, vol. 49, pp. 771-782, 2008.