An example of entropy balance in natural convection, Part 2: The thermodynamic Boussinesq equations

Comptes Rendus - Mecanique

Volumn 333, Issue 2, 2005, Pages 133-138

  Pons, Michel ^a   Le Quéré, Patrick ^a  

^a CNRS   (France)

Author keywords

Boussinesq; Fluid mechanics; Heat transfer; Irreversibility; Natural convection; Piston effect; Thermodynamics

Indexed keywords

BOUSSINESQ EQUATION; FLUID MECHANICS; HEAT TRANSFER; NATURAL CONVECTION; THERMODYNAMICS;

ARTICLE; ENERGY; ENTROPY; FINANCIAL MANAGEMENT; HEAT TRANSFER; KINETICS; LIQUID; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PARAMETER; SIMULATION; TEMPERATURE; THERMODYNAMICS;

EID: 12844268823     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2004.11.003     Document Type: Article

References (13)

1. M. Pons, and P. Le Quéré An example of entropy balance in natural convection, Part 1: the usual Boussinesq equations C. R. Mecanique 333 2005 10.1016/j.crme.2004.00.011 in this issue
2. D.J. Tritton Physical Fluid Dynamics second ed. 1988 Oxford University Press Oxford
3. D.D. Gray, and A. Giorgini The validity of the Boussinesq approximation for liquids and gases Int. J. Heat Mass Transfer 19 5 1976 545 551
4. E.A. Spiegel, and G. Veronis On the Boussinesq approximation for a compressible fluid Astrophys. J. 131 1960 442 447
5. J.A. Dutton, and G.H. Fichtl Approximate equations of motion for gases and liquid J. Atmos. Sci. 26 2 1969 241 254
6. J. Fröhlich, P. Laure, and R. Peyret Large departures from Boussinesq approximation in the Rayleigh-Bénard problem Phys. Fluids A 4 7 1992 1355 1372
7. J. Vierendeels, B. Merci, and E. Dick Numerical study of natural convective heat transfer with large temperature differences Int. J. Numer. Methods Heat Fluid Flow 11 4 2001 329 341
8. B. Gebhart, Y. Jaluria, R.L. Mahajan, and B. Sammakia Buoyancy-Induced Flows and Transport reference ed. 1988 Hemisphere New York
9. A. Bejan Convection Heat Transfer 1984 Wiley New York
10. A. Bejan Entropy Generation Through Heat and Fluid Flow 1982 Wiley New York
11. B. Zappoli Near-critical fluid hydrodynamics C. R. Mecanique 331 10 2003 713 726
12. Y. Masuda, T. Aizawa, M. Kanakubo, N. Saito, and Y. Ikushima Numerical simulation of two-dimensional piston effect and natural convection in a square cavity heated from one side Int. Commun. Heat Mass Transfer 31 2 2004 151 160
13. M. Gitterman Hydrodynamics of fluids near a critical point Rev. Mod. Phys. 50 1 1978 85 106 Part I