Finite-volume method for solving the entropy generation due to air natural convection in Γ-shaped enclosure with circular corners

Mathematical and Computer Modelling

Volumn 54, Issue 5-6, 2011, Pages 1286-1299

  Ziapour, Behrooz M ^a   Dehnavi, Resam ^a  

^a UNIVERSITY OF MOHAGHEGH ARDABILI   (Iran)

Author keywords

Artificial compressibility; Entropy; Explicit finite volume method; Natural convection

Indexed keywords

ARTIFICIAL COMPRESSIBILITY; BEJAN NUMBER; CONVERGENCE OF SOLUTIONS; CORNER RADIUS; DISCRETIZATIONS; ENTROPY GENERATION; FINITE-VOLUME; FOURTH-ORDER; LAMINAR AIRFLOW; MOMENTUM EQUATION; NUMERICAL MODELS; RAYLEIGH NUMBER; RUNGE-KUTTA INTEGRATION ALGORITHMS; STEADY-STATE CONDITION; THERMAL CONDUCTION;

COMPRESSIBILITY; ENCLOSURES; FINITE VOLUME METHOD; NATURAL CONVECTION; RUNGE KUTTA METHODS;

ENTROPY;

EID: 79957796314     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2011.03.039     Document Type: Article

References (29)

1. Davis V.G. Natural convection of air in a square cavity: a bench mark numerical solution. Internat. J. Numer. Methods Fluids 1983, 3:249-264.
2. Kelkar K.M., Patankar S.V. Numerical prediction of natural convection in square partitioned enclosures. Numer. Heat Transfer Part A 1990, 17:269-285.
3. Karayiannis T.G., Ciofalo M., Barbaro G. On natural convection in a single and two zone rectangular enclosure. Int. J. Heat Mass Transfer 1992, 105:89-95.
4. Chakroun W., Elsayed M.M., Al-Fahed S.F. Experimental measurements of heat transfer coefficient in a partially/fully opened tilted cavity. J. Sol. Energy Eng. 1997, 119:298-303.
5. Dagtekin I., Oztop H.F., Bahloul A. Entropy generation for natural convection in Γ-shaped enclosures. Int. Commun. Heat Mass Transfer 2007, 34:502-510.
6. Oliveski D.C., Macagnan M.H., Copetti J.B. Entropy generation and natural convection in rectangular cavities. Appl. Therm. Eng. 2009, 29:1417-1425.
7. Oztop H.F., Zhao Z.P., Yu B. Conduction-combined forced and natural convection in lid-driven enclosures divided by a vertical solid partition. Int. Commun. Heat Mass Transfer 2009, 36:661-668.
8. Antar M.A. Exergy analysis of conjugate heat transfer through a building block with multiple enclosed spaces. Int. J. Energy 2010, 7:270-285.
9. Chen S., Krafczyk M. Entropy generation in turbulent natural convection due to internal heat generation. Int. J. Therm. Sci. 2009, 48:1978-1987.
10. Bidi M., Nobari M.R.H., Avval M.S. A numerical evaluation of combustion in porous media by EGM (Entropy Generation Minimization). Energy 2010, 35:3483-3500.
11. Bejan A. A study of entropy generation in fundamental convective heat transfer. ASME J. Heat Transfer 1979, 101:718-725.
12. Bejan A. Entropy generation minimization: the new thermodynamics of finite-size devices and finite-time processes. J. Appl. Phys. 1996, 79:1191-1218.
13. Xie Z.H., Chen L.G., Sun F.R. Geometry optimization of T-shaped cavities according to constructal theory. Math. Comput. Model. 2010, 52:1538-1546.
14. Makhanlall D., Liu L.H. Second law analysis of coupled conduction-radiation heat transfer with phase change. Int. J. Therm. Sci. 2010, 49:1829-1836.
15. Xie Z.H., Chen L.G., Sun F.R. Constructal optimization on T-shaped cavity based on entransy dissipation minimization. Chinese Sci. Bull. 2009, 54:4418-4427.
16. Xie Z.H., Chen L.G., Sun F.R. Constructal optimization for geometry of cavity by taking entransy dissipation minimization as objective. Sci. China Ser. E 2009, 52:3504-3513.
17. Chen Q., Wang M.R., Pan N. Optimization principles for convective heat transfer. Energy 2009, 34:1199-1206.
18. Kaluri R.S., Basak T. Entropy generation versus thermal mixing due to natural convection in differentially and discretely heated square cavities. Numer. Heat Transfer Part A 2010, 58:475-504.
19. A. Jameson, W. Schmidt, E. Turkel, Numerical simulation of the Euler equations by finite volume method using Runge-Kutta time stepping schemes, AIAA Paper 81-1259, in: 14th Fluid and Plasma Dynamics Conference, Palo Alto, California; June 1981.
20. Jameson A., Mavriplis D. Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh. AIAA 1986, 24:611-618.
21. B. Mirzaee, Finite volume solution of a cylinder in cross flow with heat transfer, Ph.D. Thesis, University of Tabriz, 2001.
22. Esfahanian V., Akbarzadeh P. The Jameson's numerical method for solving the incompressible viscous and inviscid flows by means of artificial compressibility and precondishining method. Appl. Math. Comput. 2008, 206:651-661.
23. Patankar S.V. Numerical Heat Transfer and Fluid Flow 1980, McGraw-Hill, Washington.
24. Van Doormmal J.P., Raithby G.D. Enhancements of the simple method for predicting incompressible fluid flow. Numer. Heat Transfer 1984, 7:147-163.
25. Acharya S., Moukalled F.H. Improvement to incompressible flow calculation on anon staggered curvilinear grid. Numer. Heat Transfer 1989, 15:131-152.
26. Chorin A.J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 1967, 2:12-26.
27. Chorin A.J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 1997, 112:118-125.
28. Madsen P.A., Schaffer H.A. A discussion of artificial compressibility. Coast. Eng. 2006, 53:93-98.
29. Bassi F., Crivellini A., Pietro D.A., Rebay S. An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations. J. Comput. Phys. 2006, 218:794-815.