Finite element simulation of transient natural convection of low-Prandtl-number fluids in heated cavity

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 9, Issue 5, 1999, Pages 612-624

  Sammouda, Habib ^a   Belghith, Ali ^a   Surry, Claude ^b  

^a FACULTÉ DES SCIENCES DE TUNIS   (Tunisia)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLUIDS; ISOTHERMS; NUSSELT NUMBER; PRANDTL NUMBER; THERMAL GRADIENTS; VELOCITY;

BOUSSINESQ HYPOTHESIS; GRASHOF NUMBER; VELOCITY FIELD;

NATURAL CONVECTION;

EID: 0032593069     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615539910276124     Document Type: Article

References (16)

1. Benocci, C. (1983), "Thermohydraulics of liquid metals: turbulence modeling in liquid metal free convection", Von Karman Institute Lecture Series 1983-07.
2. Cahouet, J. and Chabart, J.P. (1988), "Some fast 3D finite element solvers for the generalized Stokes problem", Int. Jour. Num. Meth. Fluids, Vol. 8, pp. 869-85.
3. Cless, C.M. and Prescott, P.J. (1996a), "Effect of time varying thermal boundary conditions on oscillatory natural convection of a low-Prandtl-number fluid", Numerical Heat Transfer Part A, Vol. 29, pp. 645-69.
4. Cless, C.M. and Prescott, P.J. (1996b), "Effect of time marching schemes on predictions of oscillatory natural convection in fluids of low-Prandtl-number", Numerical Heat Transfer Part A, Vol. 29, pp. 575-97.
5. Crochet, M.J., Geyling, F.T. and Van Schaftingen, J.J. (1987), "Numerical simulation of the horizontal Bridgman growth Part I: Two-dimensional flow", Int. Jour. Num. Meth. Fluids Vol. 7, pp. 29-48.
6. Davis, G. De Vahl (1983), "Natural convection of air in a square cavity: a benchmark numerical solution", Int. Jour. Num. Meth. Fluids, Vol. 3, pp. 249-64.
7. Gebhart, B., Jaluria, Y., Mahajan, R.L. and Sammakia, B. (1988), Buoyancy-Induced Flows and Transport, Hemisphere, Washington, DC.
8. Girault, V. and Raviart, V.A. (1986), "Finite element methods for Navier Stokes equations", Springer Verlag.
9. Gresho, P.M. and Upson, C.G. (1983), "Application of a modified finite element method to the time-dependent thermal convection of a liquid metal", in Taylor, C., Johnson, C., Smith, J.A. and Ramsey, W. (Eds), Proc. 3rd Int. Conf. on Numerical Methods in Laminar and Turbulent Flow, Pineridge, Swansea, pp. 750-62.
10. Hughes, T.J.R. (1988), Linear Static and Dynamic Finite Element Analysis, Prentice-Hall Inc., Englewood Cliffs, NJ.
11. Jackson, C. and Winters, K.H. (1984), "A finite element study of the Benard problem using parameter stepping and bifurcation search", Int. Jour. Num. Meth. Fluids, Vol. 4, pp. 127-45.
12. Mohamad, A.A. and Viskanta, R. (1991), "Transient natural convection of low-Prandtl-number fluids in a differentially heated cavity", Int. Jour. Num. Meth. Fluids, Vol. 13, pp. 61-81.
13. Palucci, S. and Chenoweth, D.R. (1989), "Transition to chaos in a differentially heated vertical cavity", J. Fluid Mech., Vol. 201, pp. 379-410.
14. Stewart, M.J. and Weinberg, F. (1972), "Fluid flow in liquid metals, I. Theoretical analysis", J. Cryst. Growth, Vol. 12, pp. 217-27.
15. Winters, K. (1987), "Oscillatory convection in crystal melts:the horizontal Bridgman process", Report TP-1230, Theoretical Physics Division, Harwell Laboratory.
16. Yang, K.T. (1988), "Transitions and bifurcations in laminar buoyant flows in confined enclosures", Journal of Heat Transfer, Vol. 110, pp. 1191-203.