Influence of thermal boundary conditions on natural convection in a square enclosure partially heated from below

Abstract Natural convection in air-filled 2D square enclosure heated with a constant source from below and cooled from above is studied numerically for a variety of thermal boundary conditions at the top and sidewalls. Simulations are performed for two kinds of lengths of the heated source, i.e., a small and a large source corresponding to 20% and 80% of the total length of the bottom wall, respectively. The Rayleigh number varied from 103 to 107. Results are presented in the form of streamline and isotherm plots as well as the variation of the Nusselt number and maximum temperature at the heat source surface. Comparisons among the different thermal configurations considered are reported.

[1]  M. Hortmann,et al.  Finite volume multigrid prediction of laminar natural convection: Bench-mark solutions , 1990 .

[2]  L. Milanez,et al.  Numerical and Experimental Analysis of Natural Convection in a Cavity Heated from Below , 1998 .

[3]  Enrico Nobile,et al.  Simulation of time-dependent flow in cavities with the additive-correction multigrid method, part I: Mathematical formulation , 1996 .

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

[5]  Mark A. Christon,et al.  Computational predictability of time‐dependent natural convection flows in enclosures (including a benchmark solution) , 2002 .

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

[7]  Alvaro Valencia,et al.  Heat transfer in square cavities with partially active vertical walls , 1989 .

[8]  Maximilian S. Mesquita,et al.  Optimal multigrid solutions of two-dimensional convection-conduction problems , 2004, Appl. Math. Comput..

[9]  E. K. Lakhal,et al.  NATURAL CONVECTION IN A SQUARE ENCLOSURE HEATED PERIODICALLY FROM PART OF THE BOTTOM WALL , 1995 .

[10]  R. L. Frederick,et al.  NATURAL CONVECTION IN CUBICAL ENCLOSURES WITH THERMAL SOURCES ON ADJACENT VERTICAL WALLS , 2002 .

[11]  Massimo Corcione,et al.  Effects of the thermal boundary conditions at the sidewalls upon natural convection in rectangular enclosures heated from below and cooled from above , 2003 .

[12]  Shihe Xin,et al.  An extended Chebyshev pseudo‐spectral benchmark for the 8:1 differentially heated cavity , 2002 .

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

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

[15]  Luiz Fernando Milanez,et al.  Natural convection in rectangular enclosures heated from below and symmetrically cooled from the sides , 1995 .

[16]  G. D. Davis Natural convection of air in a square cavity: A bench mark numerical solution , 1983 .

[17]  S. Ostrach Natural convection in enclosures , 1988 .

[18]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[19]  N. S. Vlachos,et al.  Natural convection in rectangular tanks heated locally from below , 2004 .

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

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