Visualization of heat flow due to natural convection within triangular cavities using Bejan's heatline concept

International Journal of Heat and Mass Transfer

Volumn 52, Issue 11-12, 2009, Pages 2824-2833

  Basak, Tanmay ^a   Aravind, G ^a   Roy, S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

Heatfunction; Heatlines; Inverted triangular cavity; Natural convection; Streamfunctions; Streamlines

Indexed keywords

ATMOSPHERIC TEMPERATURE; ELECTRIC FIELD EFFECTS; FLOW MEASURING INSTRUMENTS; FLOW PATTERNS; FOOD PROCESSING; HEAT EXCHANGERS; HEAT FLUX; LIQUID METALS; NUSSELT NUMBER; PRANDTL NUMBER; WALL FLOW;

HEATFUNCTION; HEATLINES; INVERTED TRIANGULAR CAVITY; STREAMFUNCTIONS; STREAMLINES;

NATURAL CONVECTION;

EID: 63049104631     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2008.10.034     Document Type: Article

References (40)

1. Joudi K.A., Hussein I.A., and Farhan A.A. Computational model for a prism shaped storage solar collector with a right triangular cross section. Energy Conserv. Manage. 45 (2004) 391-409
2. Lei C., and Patterson J.C. Natural convection in a reservoir sidearm subject to solar radiation: experimental observations. Exp. Fluids 32 (2002) 590-599
3. Boridy E. Potential flow past an open spherical cavity. J. Appl. Phys. 67 11 (1990) 6687-6693
4. Campo A., and Ridouane E.H. Enhancement of natural convection transport in slender right-angled triangular cavities by way of molding the upper insulated wall. J. Enhanced Heat Transfer 12 4 (2005) 327-341
5. Omri A., Ofri J., and Ben Nasrallah S. Natural convection effects in solar stills. Int. J. Heat Mass Transfer 183 1-3 (2005) 173-178
6. Phillips T.N. Natural convection in an enclosed cavity. J. Comput. Phys. 54 (1984) 365-381
7. Park R.J., Kim S.B., Kim H.D., and Choi S.M. Natural convection heat transfer with crust formation in the molten metal pool. Nucl. Technol. 127 (1999) 66-80
8. Mishra B., and Olson D.L. Molten salt applications in materials processing. J. Phys. Chem. Solids 66 (2005) 396-401
9. Akterian S.G., and Fikiin K.A. Numerical simulation of unsteady heat conduction in arbitrary shaped canned foods during sterilization processes. J. Food Eng. 21 (1994) 343-354
10. Bol'shov A.L., Kondratenko P.S., and Strizhov V.F. Natural convection in heat-generating fluids. Phys.-Usp. 44 (2001) 999-1016
11. Farid M., and Abdul A.G.A. A new computational technique for the estimation of sterilization time in canned food. Chem. Eng. Process. 43 (2004) 523-531
12. Kai C., and Xi C. Effects of natural convection on the characteristics of long laminar argon plasma jets issuing upwards or downwards into ambient air, a numerical study. J. Phys. D 37 (2004) 2385-2391
13. Chang C.J., and Brown R.A. Natural convection in steady solidification: finite element analysis of a two-phase Rayleigh-Benard problem. J. Comput. Phys. 53 (1984) 1-27
14. Poulikakos D., and Bejan A. The fluid dynamics of an attic space. J. Fluid Mech. 131 (1983) 251-269
15. Holtzman G.A., Hill R.W., and Ball K.S. Laminar natural convection in isosceles triangular enclosures heated from below and symmetrically cooled from above. J. Heat Transfer Trans. ASME 122 (2000) 485-491
16. Del Campo E.M., Sen M., and Ramos E. Analysis of laminar natural convection in a triangular enclosure. Int. J. Heat Mass Transfer 13 (1988) 353-372
17. Kent E.F., Asmaz E., and Ozerbay S. Laminar natural convection in right triangular enclosures. Heat and Mass Transfer 44 2 (2007) 187-200
18. Omri A., Najjari M., and Ben Nasrallah S. Numerical analysis of natural buoyancy-induced regimes in isosceles triangular cavities. Numer. Heat Transfer A 52 7 (2007) 327-341
19. Varol Y., Koca A., and Oztop H.F. Natural convection in a triangle enclosure with flush mounted heater on the wall. Int. Commun. Heat Mass Transfer 33 8 (2006) 951-958
20. Sieres J., Campo A., and Ridouane E.H. Effect of surface radiation on buoyant convection in vertical triangular cavities with variable aperture angles. Int. J. Heat Mass Transfer 50 25-26 (2007) 5139-5149
21. Asan H., and Namli L. Numerical simulation of buoyant flow in a roof of triangular cross section under winter day boundary conditions. Energy Build. 33 (2001) 753-757
22. Asan H., and Namli L. Laminar natural convection in a pitched roof of a triangular cross section: summer day boundary conditions. Energy Build. 33 (2000) 69-73
23. Hajri I., Omri A., and Ben Nasrallah S. A numerical model for the simulation of double-diffusive natural convection in a triangular cavity using equal order and control volume based on the finite element method. Desalination 206 1-3 (2007) 579-588
24. Varol Y., Oztop H.F., and Varol A. Natural convection in porous triangular enclosures with a solid adiabatic fin attached to the horizontal wall. Int. Commun. Heat Mass Transfer 34 1 (2007) 19-27
25. Koca A., Oztop H.F., and Varol Y. The effects of Prandtl number on natural convection in triangular enclosures with localized heating from below. Int. Commun. Heat Mass Transfer 34 4 (2007) 511-519
26. Basak T., Roy S., and Thirumalesha C. Finite element analysis of natural convection in a triangular enclosure: effects of various thermal boundary conditions. Chem. Eng. Sci. 34 4 (2007) 511-519
27. Kimura S., and Bejan A. The heatline visualization of convective heat-transfer. J. Heat Transfer Trans. ASME 105 4 (1983) 916-919
28. Bejan A. Convection Heat Transfer. third ed. (1984), Wiley, Hoboken, NJU
29. Bello-Ochende F.L. A heat function formulation for thermal convection in a square cavity. Int. Commun. Heat Mass Transfer 15 (1988) 193-202
30. Costa V.A.F. Unification of the streamline, heatline and massline methods for the visualization of two-dimensional transport phenomena. Int. J. Heat Mass Transfer 42 1 (1999) 27-33
31. Costa V.A.F. Heatline and massline visualization of laminar natural convection boundary layers near a vertical wall. Int. J. Heat Mass Transfer 43 20 (2000) 3765-3774
32. Costa V.A.F. Unified streamline, heatline and massline methods for the visualization of two-dimensional heat and mass transfer in anisotropic media. Int. J. Heat Mass Transfer 46 8 (2003) 1309-1320
33. Costa V.A.F. Bejan's heatlines and masslines for convection visualization and analysis. Appl. Mech. Rev. 59 3 (2006) 126-145
34. Mukhopadhyay A., Qin X., Aggarwal S.K., and Puri I.K. On extension of heatline and massline concepts to reacting flows through use of conserved scalars. J. Heat Transfer Trans. ASME 124 4 (2002) 791-799
35. Mukhopadhyay A., Qin X., Aggarwal S.K., and Puri I.K. Visualization of scalar transport in non-reacting and reacting jets through a unified "heatline" and "massline" formulation. Numer. Heat Transfer A 44 7 (2003) 683-704
36. Deng Q.H., and Tang G.F. Numerical visualization of mass and heat transport for conjugate natural convection/heat conduction by streamline and heatline. Int. J. Heat Mass Transfer 45 11 (2002) 2373-2385
37. Dalal A., and Das M.K. Heatline method for the visualization of natural convection in a complicated cavity. Int. J. Heat Mass Transfer 51 1-2 (2008) 263-272
38. Reddy J.N. An Introduction to the Finite Element Method (1993), McGraw-Hill, New York
39. Roy S., and Basak T. Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s). Int. J. Eng. Sci. 43 8-9 (2005) 668-680
40. Erenburg V., Gelfgat A.Y., Kit E., Bar-Yoseph P.Z., and Solan A. Multiple states stability and bifurcations of natural convection in a rectangular cavity with partially heated vertical walls. J. Fluid Mech. 492 (2003) 63-89