A Comprehensive Review of Natural Convection in Triangular Enclosures

Natural convection in triangular enclosures is an important problem. It displays well thegeneric attributes of this class of convection, with its dependence on enclosure geometry,orientation and thermal boundary conditions. It is particularly rich in its variety of flowregimes and thermal fields as well as having significant practical application. In this pa-per, a comprehensive view of the research area is sought by critically examining the ex-perimental and numerical approaches adopted in studies of this problem in the literature.Different thermal boundary conditions for the evolution of the flow regimes and thermalfields are considered. Effects of changes in pitch angle and the Rayleigh number on theflow and thermal fields are examined in detail. Although most of the past studies are inthe laminar regime, the review extends up to the recent studies of the low turbulent re-gime. Finally, areas of further research are highlighted. [DOI: 10.1115/1.4004290]Keywords: buoyancy-induced flows, flow fields, triangular enclosures

[1]  A. Shadaram,et al.  Numerical analysis of turbulent natural convection heat transfer inside a triangular‐shaped enclosure utilizing computational fluid dynamic code , 2008 .

[2]  Ahmet Koca,et al.  Numerical analysis of natural convection in shed roofs with eave of buildings for cold climates , 2008, Comput. Math. Appl..

[3]  T. Tynjälä,et al.  Magnetodissipation in ferrofluids , 2002 .

[4]  I. Pop,et al.  Visualization of Heat Transport during Natural Convection Within Porous Triangular Cavities via Heatline Approach , 2010 .

[5]  T. Yilmaz,et al.  Natural convection in triangular enclosures with protruding isothermal heater , 2007 .

[6]  A. Bejan Convection Heat Transfer , 1984 .

[7]  M. Teubner,et al.  Heat exchange in an attic space , 2002 .

[8]  Haydee Salmun,et al.  The stability of a single-cell steady-state solution in a triangular enclosure , 1995 .

[9]  O. G. Martynenko,et al.  Transient natural convection in triangular enclosures , 1988 .

[10]  Tanmay Basak,et al.  Analysis of heat recovery and heat transfer within entrapped porous triangular cavities via heatline approach , 2010 .

[11]  E. Kent,et al.  Numerical analysis of laminar natural convection in isosceles triangular enclosures , 2009 .

[12]  R. D. Flack,et al.  Velocity Measurements in Two Natural Convection Air Flows Using a Laser Velocimeter , 1979 .

[13]  C. Lei,et al.  Unsteady natural convection in a triangular enclosure induced by absorption of radiation , 2002, Journal of Fluid Mechanics.

[14]  Peter Blom,et al.  Venting of Attics and Pitched, Insulated Roofs , 2001 .

[15]  Tanmay Basak,et al.  Finite element simulations of natural convection flow in an isosceles triangular enclosure filled with a porous medium: Effects of various thermal boundary conditions , 2008 .

[16]  T. Basak,et al.  Finite Element Simulation on Natural Convection Flow in a Triangular Enclosure Due to Uniform and Nonuniform Bottom Heating , 2008 .

[17]  Unsteady natural convection in a triangular enclosure , 1985 .

[18]  Dimos Poulikakos,et al.  Numerical Study of Transient High Rayleigh Number Convection in an Attic-Shaped Porous Layer , 1983 .

[19]  T. Basak,et al.  Visualization of heat flow due to natural convection within triangular cavities using Bejan’s heatline concept , 2009 .

[20]  Tanmay Basak,et al.  Finite element analysis of natural convection in a triangular enclosure: Effects of various thermal boundary conditions , 2007 .

[21]  Kenneth S. Ball,et al.  Laminar Natural Convection in Isosceles Triangular Enclosures Heated From Below and Symmetrically Cooled From Above , 1998, Heat Transfer: Volume 1 — Heat Transfer in Flowing Systems.

[22]  R. Anandalakshmi,et al.  Bejan’s heatline analysis of natural convection in right-angled triangular enclosures: Effects of aspect-ratio and thermal boundary conditions , 2010 .

[23]  Dimos Poulikakos,et al.  The fluid dynamics of an attic space , 1983, Journal of Fluid Mechanics.

[24]  L. Namli,et al.  Laminar natural convection in a pitched roof of triangular cross-section: summer day boundary conditions , 2000 .

[25]  Klaus Brun,et al.  Measurement and prediction of natural convection velocities in triangular enclosures , 1995 .

[26]  T. Basak,et al.  Analysis of heat recovery and thermal transport within entrapped fluid based on heatline approach , 2009 .

[27]  S. B. Nasrallah,et al.  Numerical Analysis of Natural Buoyancy-Induced Regimes in Isosceles Triangular Cavities , 2007 .

[28]  V. A. F. Costa,et al.  Bejan’s Heatlines and Masslines for Convection Visualization and Analysis , 2006 .

[29]  Ioan Pop,et al.  Investigation of natural convection in triangular enclosure filled with porous medi saturated with water near 4 °C , 2009 .

[30]  L. Collatz The numerical treatment of differential equations , 1961 .

[31]  J. Symons,et al.  Experimental and Numerical Studies of Natural Convection in Trapezoidal Cavities , 1989 .

[32]  P. Gaskell,et al.  A finite element analysis of steady viscous flow in triangular cavities , 1999 .

[33]  Antonio Campo,et al.  Numerical computation of buoyant airflows confined to attic spaces under opposing hot and cold wall conditions , 2005 .

[34]  Ioan Pop,et al.  Entropy generation due to natural convection in non-uniformly heated porous isosceles triangular enclosures at different positions , 2009 .

[35]  A. R. Balakrishnan,et al.  Finite element analysis of natural convection flow in a isosceles triangular enclosure due to uniform and non-uniform heating at the side walls , 2008 .

[36]  Dimos Poulikakos,et al.  Natural Convection Experiments in a Triangular Enclosure , 1983 .

[37]  V. A. Akinsete,et al.  Heat transfer by steady laminar free convection in triangular enclosures , 1982 .

[38]  T. Basak,et al.  Finite Element Simulations of Natural Convection in a Right-Angle Triangular Enclosure Filled with a Porous Medium: Effects of Various Thermal Boundary Conditions , 2007 .

[39]  Dimos Poulikakos,et al.  Natural Convection in an Attic-Shaped Space Filled With Porous Material , 1982 .

[40]  Antonio Campo,et al.  Effects of Attaching Baffles onto the Inclined Walls of Attic Frames for Purposes of Energy Conservation , 2007 .

[41]  R. D. Flack,et al.  The Measurement of Natural Convective Heat Transfer in Triangular Enclosures , 1979 .

[42]  Tj Thirst,et al.  Heat Transfer Versus Pitch Angle for Nonventilated, Triangular-Sectioned, Apex-Upward Air-Filled Spaces , 1978 .

[43]  Haydee Salmun,et al.  Convection patterns in a triangular domain , 1995 .

[44]  S. Vanka,et al.  Finite-volume multigrid calculation of natural-convection flows on unstructured grids , 1996 .

[45]  Ahmet Koca,et al.  Laminar natural convection heat transfer in a shed roof with or without eave for summer season , 2007 .

[46]  Tassos G. Karayiannis,et al.  Flow field and Reynolds stress distribution in low turbulance natural convection in a triangular cavity , 2006 .

[47]  Y. Varol,et al.  Natural convection in a triangle enclosure with flush mounted heater on the wall , 2006 .

[48]  M. Sen,et al.  ANALYSIS OF LAMINAR NATURAL CONVECTION IN A TRIANGULAR ENCLOSURE , 1988 .

[49]  Antonio Campo,et al.  Turbulent natural convection in an air-filled isosceles triangular enclosure , 2006 .

[50]  Adrian Bejan,et al.  The “Heatline” Visualization of Convective Heat Transfer , 1983 .

[51]  T. Basak,et al.  Natural convection and flow simulation in differentially heated isosceles triangular enclosures filled with porous medium , 2008 .

[52]  R. D. Flack,et al.  The Experimental Measurement of Natural Convection Heat Transfer in Triangular Enclosures Heated or Cooled from Below , 1980 .

[53]  T. J. Thirst,et al.  Thermal insulation provided by triangular sectioned attic spaces , 1977 .

[54]  I. Pop,et al.  Visualization of heat transport due to natural convection for hot materials confined within two entrapped porous triangular cavities via heatline concept , 2010 .

[55]  A. R. Balakrishnan,et al.  Heatline analysis of heat recovery and thermal transport in materials confined within triangular cavities , 2010 .