Theoretical Analysis of Natural Convection in an Enclosure Filled with Disconnected Conducting Square Solid Blocks

Transport in Porous Media

Volumn 85, Issue 2, 2010, Pages 641-651

  Hooman, K ^a   Merrikh, A A ^b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b ADVANCED MICRO DEVICES   (United States)

Author keywords

Least squares method; Natural convection; Porous media; Thermal resistance

Indexed keywords

BLOCK SIZES; CONDUCTING SOLIDS; CONDUCTIVITY RATIO; CONTROLLING PARAMETERS; ELSEVIER; HEAT TRANSFER PROCESS; INDEPENDENT VARIABLES; LEAST SQUARES METHODS; MATHEMATICAL ANALYSIS; NUMBER OF BLOCKS; PORE-SCALE SIMULATION; POROUS MEDIA; POROUS MEDIUM; PROBLEM-BASED; RAYLEIGH NUMBER; SOLID BLOCKS; SQUARE ENCLOSURES; THERMAL CONDUCTIVITY RATIO; THERMAL RESISTANCE; TRANSPORT PHENOMENA;

ENCLOSURES; FLUIDS; NATURAL CONVECTION; NUSSELT NUMBER; THERMAL CONDUCTIVITY;

POROUS MATERIALS;

HEAT TRANSFER; LEAST SQUARES METHOD; PERMEABILITY; POROSITY; POROUS MEDIUM; RAYLEIGH NUMBER; THERMAL CONDUCTIVITY; THERMAL CONVECTION;

EID: 78149500410     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-010-9583-y     Document Type: Article

References (16)

1. Bejan A.: Heat Transfer. Wiley, New York (1993).
2. Bhave P., Narasimhan A., Rees D. A. S.: Natural convection heat transfer enhancement using adiabatic block: optimal block size and prandtl number effect. Int. J. Heat Mass Transf. 49, 3807-3818 (2006).
3. Braga E. J., de Lemos M. J. S.: Heat transfer in enclosures having a fixed amount of solid material simulated with heterogeneous and homogeneous models. Int. J. Heat Mass Transf. 48, 4748-4765 (2005a).
4. Braga E. J., de Lemos M. J. S.: Laminar natural convection in cavities filled with circular and square rods. Int. Commun. Heat Mass Transf. 32, 1289-1297 (2005b).
5. Bretscher O.: Linear Algebra With Applications, 3rd edn. Prentice Hall, Upper Saddle River, NJ (1995).
6. Hooman, K., Gurgenci, H.: Porous medium modeling of air-cooled condensers. Transport Porous Med. (2010). doi: 10. 1007/s11242-009-9497-8.
7. Hooman K., Gurgenci H., Dincer I.: Heatline and energy-flux-vector visualization of natural convection in a porous cavity occupied by a fluid with temperature-dependent viscosity. J. Porous Med. 12, 265-275 (2009).
8. House J. M., Beckermann C., Smith T. F.: Effect of a centered conducting body on natural convection heat transfer in an enclosure. Numer. Heat Transf. A 18, 213-225 (1990).
9. Lage J. L.: Effect of the convective inertia term on Benard convection in a porous-medium. Numer. Heat Transf. A 22, 469-485 (1992).
10. Merrikh, A. A., Lage, J. L.: From continuum to porous-continuum the visual resolution impact on modeling natural convection in heterogeneous media. In: Pop, I., Ingham, D. B. (eds) Transport Phenomena in Porous Media, Elsevier, Oxford (2005a).
11. Merrikh A. A., Lage J. L.: Natural convection in an enclosure with disconnected and conducting solid blocks. Int. J. Heat Mass Transf. 48, 1361-1372 (2005b).
12. Merrikh A. A., Lage J. L., Mohamad A. A.: Natural convection in nonhomogeneous heat-generating media: Comparison of continuum and porous-continuum models. J. Porous Med. 8, 149-163 (2005c).
13. Merrikh A. A., Mohamad A. A.: Blockage effects in natural convection in differentially heated enclosures. J. Enhanc. Heat Transf. 8, 55-72 (2001).
14. Nield D. A., Bejan A.: Convection in porous median 3rd edn. Springer, New York (2006).
15. Pourshaghaghy A., Hakkaki-Fard A., Mahdavi-Nejad A.: Direct simulation of natural convection in square porous enclosure. Energ. Convers. Manage. 48, 1579-1589 (2007).
16. Spiegel M. R., Stephens L. J.: Schaums outline of theory and problems of statistics, 4th edn. McGraw-Hill, New York (2008).