Natural convection in a 2D-cavity with vertical isothermal walls: Cross-validation of two numerical solutions

International Journal of Thermal Sciences

Volumn 45, Issue 9, 2006, Pages 917-922

  Barletta, A ^a   Nobile, E ^b   Pinto, F ^b   Rossi di Schio, E ^a   Zanchini, E ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Boussinesq approximation; Enclosure; Laminar flow; Natural convection; Numerical methods

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ENERGY MANAGEMENT; ISOTHERMS; LAMINAR FLOW; NONLINEAR EQUATIONS; NUMERICAL METHODS;

ADIABATIC WALLS; BOUSSINESQ APPROXIMATION; ENCLOSURE; VERTICAL ISOTHERMAL WALLS;

NATURAL CONVECTION;

EID: 33745378039     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2005.12.002     Document Type: Article

References (21)

1. Ostrach S. Natural convection in enclosures. Adv. Heat Transfer 8 (1972) 161-227
2. Gebhart B., Jaluria Y., Mahajan R.L., and Sammakia B. Buoyancy-Induced Flows and Transport (1988), Hemisphere, New York pp. 737-761
3. Bejan A. A synthesis of analytical results for natural convection heat transfer across rectangular enclosures. Int. J. Heat Mass Transfer 23 (1980) 723-726
4. Gill A.E. The boundary layer regime for convection in a rectangular cavity. J. Fluid Mech. 26 (1966) 515-536
5. Bejan A. Note on Gill's solution for free convection in a vertical enclosure. J. Fluid Mech. 90 (1979) 561-568
6. Cormack D.E., Leal L.G., and Imberger J. Natural convection in a shallow cavity with differentially heated end walls-Part I. Asymptotic theory. J. Fluid Mech. 65 (1974) 209-229
7. Bejan A., and Tien C.L. Laminar natural convection heat transfer in a horizontal cavity with different end temperatures. ASME J. Heat Transfer 100 (1978) 641-647
8. Shiralkar G.S., and Tien C.L. A numerical study of laminar natural convection in shallow cavities. ASME J. Heat Transfer 103 (1981) 226-231
9. Elder J.W. Laminar free convection in a vertical slot. J. Fluid Mech. 23 (1965) 77-98
10. Newell M.E., and Schmidt F.W. Heat transfer by laminar natural convection within rectangular enclosures. ASME J. Heat Transfer 92 (1970) 159-168
11. Ozoe H., Sayama H., and Churchill S.W. Natural convection in an inclined rectangular channel at various aspect ratios and angles-experimental measurements. Int. J. Heat Mass Transfer 18 (1975) 1425-1431
12. De Vahl Davis G. Natural convection of air in a square cavity: A bench mark numerical solution. Int. J. Numer. Methods Fluids 3 (1983) 249-264
13. Hamadi F.J., Lloyd J.R., Yang H.Q., and Yang K.T. Study of local natural convection heat transfer in an inclined enclosure. Int. J. Heat Mass Transfer 32 (1989) 1697-1708
14. Hortmann M., Peric' M., and Scheuerer G. Finite volume multigrid prediction of laminar natural convection: Bench-mark solutions. Int. J. Numer. Methods Fluids 11 (1990) 189-207
15. Kuyper R.A., Van der Meer T.H., Hoogendo-orn C.J., and Henkes R.A.W.M. Numerical study of laminar and turbulent natural convection in an inclined square cavity. Int. J. Heat Mass Transfer 36 (1993) 2899-2911
16. Nonino C., and Croce G. An equal-order velocity-pressure algorithm for incompressible thermal flows. Part 2: Validation. Numer. Heat Transfer, Part B: Fund. 32 (1997) 17-35
17. Adjlout L., Imine O., Azzi A., and Belkadi M. Laminar natural convection in an inclined cavity with a wavy wall. Int. J. Heat Mass Transfer 45 (2002) 2141-2152
18. Le Quéré P. An improved Chebyshev collocation algorithm for direct simulation of 2D turbulent convection in differentially heated cavities. Finite Element Anal. Design 16 (1994) 271-283
19. Nobile E. Simulation of time-dependent flow in cavities with the additive-correction multigrid method, Part II: Applications. Numer. Heat Transfer Part B 30 (1996) 351-370
20. http://www.pdesolutions.com
21. http://www.comsol.com