Bejan's heatline analysis of natural convection in right-angled triangular enclosures: Effects of aspect-ratio and thermal boundary conditions

International Journal of Thermal Sciences

Volumn 49, Issue 9, 2010, Pages 1576-1592

  Kaluri, Ram Satish ^a   Anandalakshmi, R ^a   Basak, Tanmay ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

Heatlines; Linear heating; Natural convection; Triangular cavities

Indexed keywords

HEAT FLOW ANALYSIS; HEAT FLOWS; HEAT TRANSFER CHARACTERISTICS; HEAT-FLOW PATTERNS; HEATLINES; ISOTHERMAL HEATING; LINEAR HEATING; MAXIMUM HEAT FLUX; QUANTITATIVE FEATURES; THERMAL BOUNDARY CONDITIONS; THERMAL MIXING; TRIANGULAR CAVITIES; TRIANGULAR ENCLOSURE;

ASPECT RATIO; BOUNDARY CONDITIONS; ENCLOSURES; FLOW MEASURING INSTRUMENTS; FLOW PATTERNS; FLUIDS; HEAT FLUX; NATURAL CONVECTION;

HEATING;

EID: 77955413717     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2010.04.022     Document Type: Article

References (46)

1. F. Moukalled, and S. Acharya Laminar natural convection heat transfer in an eccentric rhombic annulus Numer. Heat Transfer A-Appl. 26 1994 551 568
2. P.K. Das, and S. Mahmud Numerical investigation of natural convection inside a wavy enclosure Int. J. Therm. Sci. 42 2003 397 406 (Pubitemid 36357110)
3. E. Bilgen, and H. Oztop Natural convection heat transfer in partially open inclined square cavities Int. J. Heat Mass Transfer 48 2005 1470 1479 (Pubitemid 40318775)
4. M. Perić Natural convection in trapezoidal cavities Num. Heat Transfer Part A: Appl. 24 1993 213 219
5. M. Boussaid, A. Djerrada, and M. Bouhadef Thermosolutal transfer within trapezoidal cavity Num. Heat Transfer Part A: Appl. 43 2003 431 448
6. T. Basak, S. Roy, and E. Natarajan Analysis of steady convective heating for molten materials processing within trapezoidal enclosures Ind. Eng. Chem. Res. 47 2008 8652 8666
7. S. Ostrach Natural convection in enclosures J. Heat Transfer-Trans. ASME 110 1998 1175 1190
8. P.M. Haese, and M.D. Teubner Heat exchange in an attic space Int. J. Heat Mass Transfer 45 2002 4925 4936
9. K.A. Joudi, I.A. Hussein, and A.A. Farhan Computational model for a prism shaped storage solar collector with right triangular cross section Energy Convers. Manage. 45 2004 391 409
10. T. Nacima Numerical simulation of natural convection in a horticultural greenhouse heated from below (by using CFD) Heat Trans. Res. 35 2004 302 335
11. Y. Varol, A. Koca, and H.F. Oztop Laminar natural convection in saltbox roofs for both summerlike and winterlike boundary conditions J. Appl. Sci. 6 2006 2617 2622
12. I. Hajri, A. Omri, and S. Ben Nasrallah 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 2007 579 588
13. E.M.d. Campo, M. Sen, and E. Ramos Analysis of laminar natural convection in a triangular enclosure Numer. Heat Transfer 13 1988 353 372
14. S.C. Kaushik, R. Kumar, H.P. Garg, and J. Prakash Transient analysis of a triangular built-in-storage solar water-heater under winter conditions Heat Recovery Syst. CHP 14 1994 337 341
15. G.A. Holtzman, R.W. Hill, and K.S. Ball 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. E.H. Ridouane, and A. Campo Formation of a pitchfork bifurcation in thermal convection flow inside an isosceles triangular cavity Phys. Fluids 18 2006 074102
17. A. Omri, J. Orfi, and S. Ben Nasrallah Natural convection effects in solar stills Desalination 183 2005 173 178
18. A. Omri Numerical investigations on optimization of a solar distiller dimensions Desalination 206 2007 373 379
19. E.F. Kent, E. Asmaz, and S. Ozerbay Laminar natural convection in right triangular enclosures Heat Mass Transfer 44 2007 187 200
20. E.F. Kent Numerical analysis of laminar natural convection in isosceles triangular enclosures Proc. Inst. Mech. Eng. Part C-J. Mech. Eng. Sci. 223 2009 1157 1169
21. C.W. Lei, and J.C. Patterson Unsteady natural convection in a triangular enclosure induced by absorption of radiation J. Fluid Mech. 460 2002 181 209
22. C.W. Lei, S.W. Armfield, and J.C. Patterson Unsteady natural convection in a water-filled isosceles triangular enclosure heated from below Int. J. Heat Mass Transfer 51 2008 2637 2650
23. V.A. Akinsete, and T.A. Coleman Heat transfer by steady laminar free convection in triangular enclosures Int. J. Heat Mass Transfer 25 1987 991 998
24. D. Poulikakos, and A. Bejan The fluid dynamics of an attic space J. Fluid Mech. 131 1983 251 269
25. H. Salmun Convection patterns in a triangular media Int. J. Heat Mass Transfer 38 1995 351 362
26. H. Salmun The stability of a single cell steady state solution in a triangular enclosure Int. J. Heat Mass Transfer 38 1995 363 369
27. H. Asan, and L. Namli Laminar natural convection in a pitched roof of triangular cross section: summer day boundary conditions Energy Build. 33 2000 69 73
28. J. Sieres, A. Campo, E.H. Ridouane, and J.F. Seara Effect of surface radiation on buoyant convection in vertical triangular cavities with variable aperture angles Int. J. Heat Mass Transfer 50 2007 5139 5149
29. E.F. Kent Numerical analysis of laminar natural convection in isosceles triangular enclosures for cold base and hot inclined walls Mechanics Res. Comm. 36 4 2009 497 508
30. E.H. Ridouane, A. Campo, and J.Y. Chang Natural convection patterns in right angled triangular cavities with heated vertical sides and cooled hypotenuses J. Heat Transfer-Trans. ASME 127 2005 1181 1186
31. Y. Varol, H.F. Oztop, M. Mobedi, and I. Pop Visualization of natural convection heat transport using heatline method in porous non-isothermally heated triangular cavity Int. J. Heat Mass Transfer 51 2008 5040 5051
32. S. Kimura, and A. Bejan The heatline visualization of convective heat transfer J. Heat Transfer-Trans. ASME 105 1983 916 919
33. F.L. Bello-Ochende A heat function formulation for thermal convection in a square cavity Int. Comm. Heat Mass Transfer 15 1988 193 202
34. S.K. Aggarwal, and A. Manhapra Use of heatlines for unsteady buoyancy-driven flow in a cylindrical enclosure J. Heat Transfer-Trans. ASME 111 1989 576 578
35. C.J. Ho, and Y.H. Lin Natural convection of cold water in a vertical annulus with constant heat flux on the inner wall J. Heat Transfer-Trans. ASME 112 1990 117 123
36. S.K. Dash Heatline visualization in turbulent flow Int. J. Numer. Methods Heat Fluid Flow 6 1996 37 46
37. V.A.F. Costa Unification of the streamline, heatline and massline methods for the visualization of two-dimensional transport phenomena Int. J. Heat Mass Transfer 42 1999 27 33
38. V.A.F. Costa Heatline and massline visualization of laminar natural convection boundary layers near a vertical wall Int. J. Heat Mass Transfer 43 2000 3765 3774
39. V.A.F. Costa 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 2003 1309 1320
40. V.A.F. Costa, M.S.A. Oliveira, and A.C.M. Sousa Laminar natural convection in a vertical stack of parallelogrammic partial enclosures with variable geometry Int. J. Heat Mass Transfer 48 2005 779 792
41. Q.H. Deng, and G.F. Tang Numerical visualization of mass and heat transport for conjugate natural convection/heat conduction by streamline and heatline Int. J. Heat Mass Transfer 45 2002 2373 2385
42. F.Y. Zhao, D. Liu, and G.F. Tang Application issues of streamline, heatline and massline for conjugate heat and mass transfer Int. J. Heat Mass Transfer 50 2007 320 334
43. J.N. Reddy An Introduction to the Finite Element Method 1993 McGraw-Hill New York
44. T. Basak, S. Roy, and A.R. Balakrishnan Effects of thermal boundary conditions on natural convection flows within a square cavity Int. J. Heat Mass Transfer 49 2006 4525 4535
45. T. Basak, and S. Roy Role of 'Bejan's heatlines' in heat flow visualization and optimal thermal mixing for differentially heated square enclosures Int. J. Heat Mass Transfer 51 2008 3486 3503
46. E.R.G. Eckert, and R.M. Drake Jr. Analysis of Heat and Mass Transfer 1972 McGraw-Hill New York