Interaction of surface radiation and variable property natural convection in a differentially heated square cavity - a finite element analysis

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 9, Issue 4, 1999, Pages 423-443

  Mahapatra, S K ^a   Sen, S ^a   Sarkar, A ^a  

^a JADAVPUR UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; HEAT RADIATION; LAMINAR FLOW;

SURFACE RADIATION; TERMINAL TEMPERATURE DIFFERENCE (TTD);

NATURAL CONVECTION;

EID: 0032659176     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615539910266594     Document Type: Article

References (22)

1. Akiyama, M. and Chong, Q.P. (1997), "Numerical analysis of natural convection with surface radiation in a square enclosure", Num. Heat Transfer, Part A, Vol. 31, pp. 419-33.
2. Baker, A.J. (1973), "Finite element solution algorithm for viscous incompressible fluid dynamics", Int. J. Num. Meth. in Eng., pp. 89-101.
3. Chang, L.C., Yang, K.T. and Lloyd, J.R. (1983), "Radiation natural convection interactions in two dimensional complex enclosures", J. Heat Transfer, Vol. 105, pp. 89-95.
4. Cheng, R.T. (1972), "Numerical solution of the Navier-Stokes equations by the finite element method", Physics of Fluids, pp. 2098-105.
5. de Vahl Davis, G. and Zones, I.P. (1983), "Natural convection in a square cavity: a comparison exercise", Int. J. Num. Meth. in Fluids, Vol. 3, pp. 227-48.
6. Fusegi, T. and Farouk, B. (1989), "Interaction analysis of natural convection and surface/gas radiation in a square cavity", Proc. Num. Methods in Thermal Problems, Vol. 6, Part I, pp. 588-99.
7. Heinrich, J.C. and Strata, N. (1978), "Penalty finite element analysis of natural convection at high Rayleigh numbers", Finite Element in Fluids, Vol. 4.
8. Larson, D.W. (1981), "Enclosed radiation and turbulent natural convection induced by fire", Num. Meth. in Heat Transfer, Wiley, New York, NY, pp. 467-87.
9. Larson, D.W. and Viskanta, R. (1976), "Transient combined laminar free convection and radiation in a rectangular enclosure", J. Fluid Mech., Vol. 78, pp. 65-85.
10. Leonardi, E. and Reizes, J.A. (1979), "Natural convection in compressible fluids with variable properties", Num. Meth. in Thermal Problems, Proc. of 1st M. Conf., pp. 297-306.
11. Leonardi, E. and Reizes, J.A. (1981), "Convective flows in closed cavities with variable properties", in Lewis, R.W., Morgan, K. and Zienkiewicz, O.C. (Eds), Num. Meth. in Heat Transfer, John Wiley & Sons Ltd, pp. 387-412.
12. Lloyd, J.R., Yang, K.T. and Lin, V.K. (1979), "A numerical study of one dimensional surface, gas and soot radiation for turbulent bouyant flows in enclosures", Proc. Natl Conf. Num. Meth. Heat Transfer, pp. 142-61.
13. Macgregor, R.K. and Emery, A.F. (1969), "Free convection through vertical plane layers - moderate and high Prandtl number fluids", J. Heat Transfer, Vol. 91, pp. 391-403.
14. Olson, M.G. (1973), "Formulation of variational principle finite element method for viscous flow", Proc. of the Conf. on the Variational Methods in Engineering, Vol. 1.
15. Ozisik, M.N. (1985), Heat Transfer, A Basic Approach, McGraw-Hill, New York, NY.
16. Polezahev, V.I. (1967), "Numerical solution of a system of two dimensional unsteady Navier-Stokes equations for a compressible gas in a closed region", Fluid Dynamics, II, pp. 72-4.
17. Sarkar, A. and Sastri, V.M.K. (1989), "Finite element solution of steady,two dimensional, natural convection equations", Proc. Num. Meth. Thermal Problems, Vol. 2, Pineridge Press, Swansea, pp. 1732-42.
18. Sen, S. and Sarkar, A. (1995), "Effects of variable property and surface radiation on laminar natural convection in a square enclosure", Int. J. Num. Meth. Heat Fluid Flow, Vol. 5, pp. 615-27.
19. Shang, D.Y. and Wang, B.X. (1990), "Effect of variable thermo-physical properties on laminar free convection of gas", Int. J. Heat and Mass Transfer, Vol. 33, pp. 1387-95.
20. Shang, D.Y. and Wang, B.X. (1991), "Effect of variable thermo-physical properties on laminar free convection of polyatomic gas", Int. J. Heat and Mass Transfer, Vol. 34, pp. 749-55.
21. Stevens, W.N.R. (1982), "Finite element stream function - vorticity solution of steady laminar natural convection", Int. J. Num. Meth. in Fluids, pp. 349-66.
22. Zhong, Z.Y., Yang, K.T. and Lloyd, J.R. (1985), "Variable property effects in laminar natural convection in a square enclosure", J. Heat Transfer, Vol. 107, pp. 133-8.