Fluid flow and heat transfer characteristics of natural convection in square cavities due to discrete source–sink pairs

Abstract Laminar natural convection in a two-dimensional square cavity of side length H due to two and three discrete heat source–sink pairs on the vertical sidewalls was numerically investigated. Main efforts were focused on the size and arrangement effects of the sources and sinks on the fluid flow and heat transfer characteristics. The sizes of sources and sinks were, respectively, H /4 for two sources–sinks pairs and H /6 for three sources–sinks pairs. The arrangement of the sources and sinks changes from the separated to staggered modes, i.e., first separately located on two sidewalls, then alternately located on two sidewalls, and finally alternately located on one sidewall. The fluid flow, heat transfer, and heat transport characteristics were illustrated by streamlines, isotherms and averaged Nusselt number, and heatlines. It was found that the total heat transfer was closely related with the number of eddies in the enclosure. When the sources and sinks were split into smaller segments and/or arranged in a staggered mode, the number of eddies in the enclosure would increase and hence heat transfer was augmented.

[1]  P. Kandaswamy,et al.  Natural convection in a rectangular cavity with partially active side walls , 2007 .

[2]  A. Dalal,et al.  Natural Convection in a Rectangular Cavity Heated from Below and Uniformly Cooled from the Top and Both Sides , 2006 .

[3]  Di Liu,et al.  Natural convection in an enclosure with localized heating and salting from below , 2008 .

[4]  Orhan Aydin,et al.  Natural convection in enclosures with localized heating from below and symmetrical cooling from sides , 2000 .

[5]  A. Sharma,et al.  Turbulent natural convection in an enclosure with localized heating from below , 2007 .

[6]  I. Sezai,et al.  Natural convection from a discrete heat source on the bottom of a horizontal enclosure , 2000 .

[7]  Ryosuke Matsumoto,et al.  Natural convection in a vertical rectangular enclosure with localized heating and cooling zones , 2000 .

[8]  C. W. Leung,et al.  An optimum spacing problem for five chips on a horizontal substrate in a vertically insulated enclosure , 1999 .

[9]  Yang Liu, Nhan Phan-Thien,et al.  AN OPTIMUM SPACING PROBLEM FOR THREE CHIPS MOUNTED ON A VERTICAL SUBSTRATE IN AN ENCLOSURE , 2000 .

[10]  Guang-Fa Tang,et al.  A combined temperature scale for analyzing natural convection in rectangular enclosures with discrete wall heat sources , 2002 .

[11]  M. Braun,et al.  Flow structure and transport mechanism in lower half heated upper half cooled enclosures in laminar flow regime , 2006 .

[12]  R. Matsumoto,et al.  Natural convection in a vertical rectangular enclosure with symmetrically localized heating and cooling zones , 2002 .

[13]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

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

[15]  Adrian Bejan,et al.  Optimal distribution of discrete heat sources on a wall with natural convection , 2004 .

[16]  Guang-Fa Tang,et al.  Interaction between discrete heat sources in horizontal natural convection enclosures , 2002 .

[17]  Dimos Poulikakos,et al.  Natural Convection in a Confined Fluid-Filled Space Driven by a Single Vertical Wall With Warm and Cold Regions , 1985 .

[18]  Massimo Paroncini,et al.  Natural convective heat transfer in square enclosures heated from below , 2005 .

[19]  Tzong H. Chen,et al.  Study of buoyancy-induced flows subjected to partially heated sources on the left and bottom walls in a square enclosure , 2007 .

[20]  M. Sharif,et al.  Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls , 2005 .

[21]  Nuri Yucel Natural convection in rectangular enclosures with partial heating and cooling , 1994 .

[22]  M. Daguenet,et al.  Numerical Study of the Transition Toward Chaos of Two-Dimensional Natural Convection within a Square Cavity , 2005 .

[23]  X. F. Zhang,et al.  Three-dimensional numerical simulation of natural convection in an inclined liquid-filled enclosure with an array of discrete heaters , 2003 .

[24]  Nuri Yucel,et al.  EFFECT OF HEATER AND COOLER LOCATIONS ON NATURAL CONVECTION IN SQUARE CAVITIES , 1995 .

[25]  Moustafa M. Elsayed,et al.  Natural convection in partially cooled tilted cavities , 1998 .

[26]  I. Pop,et al.  Maximum density effects on natural convection from a discrete heater in a cavity filled with a porous medium , 2004 .

[27]  N. Djilali,et al.  Natural Convection in an Enclosure with Distributed Heat Sources , 2006 .

[28]  Taieb Lili,et al.  Influence of thermal boundary conditions on natural convection in a square enclosure partially heated from below , 2007 .

[29]  S. Sen,et al.  Natural convection in a bi-heater configuration of passive electronic cooling , 2008 .

[30]  Patrick H. Oosthuizen,et al.  Natural convection in a rectangular enclosure with two heated sections on the lower surface , 2005 .

[31]  Adrian Bejan,et al.  Constructal multi-scale structures for maximal heat transfer density , 2006 .

[32]  Luiz Fernando Milanez,et al.  Optimal location of heat sources on a vertical wall with natural convection through genetic algorithms , 2006 .

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

[34]  J. Hyun,et al.  Time-dependent buoyant convection in an enclosure with discrete heat sources , 2004 .