Heat transfer by conduction, natural convection and radiation across a rectangular cellular structure

Abstract This paper describes results on the effects of wall conduction and radiation heat exchange among surfaces on laminar natural convection heat transfer in a two-dimensional rectangular cavity modelling a cellular structure. Parametric heat transfer calculations have been performed, and numerical results are presented in graphical and tabular form. Local and average Nusselt numbers along the cavity walls are reported for a range of parameters of physical interest. The findings suggest that the local or the average Nusselt number is one of many parameters that control conjugate heat transfer problems. The results indicate that natural convection heat transfer in the cavity is reduced by heat conduction in the walls and radiation exchange among surfaces. The results obtaibed for the total heat transfer rate through the system using the two-dimensional model are compared with those based on a one-dimensional model.

[1]  George D. Raithby,et al.  IMPROVED FINITE-DIFFERENCE METHODS BASED ON A CRITICAL EVALUATION OF THE APPROXIMATION ERRORS , 1979 .

[2]  M. El-Wakil,et al.  The Effect of Thermal Wall Properties on Natural Convection in Inclined Rectangular Cells , 1982 .

[3]  Portonovo S. Ayyaswamy,et al.  Natural convection flow in a finite, rectangular slot arbitrarily oriented with respect to the gravity vector , 1974 .

[4]  H. H. Rachford,et al.  The Numerical Solution of Parabolic and Elliptic Differential Equations , 1955 .

[5]  G. D. Raithby,et al.  HEAT TRANSFER BY NATURAL CONVECTION ACROSS VERTICAL AIR LAYERS , 1981 .

[6]  G. de Vahl Davis,et al.  Natural convection in a square cavity: A comparison exercise , 1983 .

[7]  R. D. Jackson,et al.  Heat Transfer 1 , 1965 .

[8]  Simon Ostrach NATURAL CONVECTION HEAT TRANSFER IN CAVITIES AND CELLS , 1982 .

[9]  G. Merker,et al.  Advanced numerical computation of two-dimensional time-dependent free convection in cavities , 1980 .

[10]  W. Charters,et al.  Natural convection phenomena in inclined cells with finite side-walls—A numerical solution☆ , 1977 .

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

[12]  I. Catton,et al.  NATURAL CONVECTION IN ENCLOSURES , 1978 .

[13]  R. Viskanta,et al.  Transient combined laminar free convection and radiation in a rectangular enclosure , 1976, Journal of Fluid Mechanics.

[14]  K.G.T. Hollands,et al.  Effect of Thermal Boundary Conditions on Natural Convection in Vertical and Inclined Air Layers , 1982 .

[15]  C. Tien,et al.  A Numerical Study of the Effect of a Vertical Temperature Difference Imposed on a Horizontal Enclosure , 1982 .

[16]  B. Roux,et al.  On a High-Order Accurate Method for the Numerical Study of Natural Convection in a Vertical Square Cavity , 1978 .

[17]  F. Incropera,et al.  Fundamentals of Heat Transfer , 1981 .