Computational and experimental studies of convective fluid motion and heat transfer in inclined non-rectangular enclosures

Computational and experimental studies of the fluid motion and heat transfer characteristics of an incompressible fluid contained in a non-rectangular inclined enclosure are described in this paper. The enclosure has two 45° inclined side walls one of which was heated and the other cooled. The remaining two sides of the enclosure are parallel and insulated. The enclosure was rotated about the long axis in steps of 30° through 360°. Experiments were performed to study the effects of Rayleigh number, aspect ratios and orientation of the enclosure. The computational method uses a mesh transformation technique coupled with the introduction of ‘false transient’ parameters for the steady state solution of the problem. The experimental method uses smoke for flow visualization studies. With aspect ratios of 3 and 6, the results indicate that the heat transfer and fluid motion within the enclosure is a strong function of both the Rayleigh number and the cavity orientation angle. A minimum and a maximum mean Nusselt number occurred as the angle of inclination was increased from 0 to 360°. A transition in the mode of circulation occurred at the angle corresponding to the minimum or maximum rate of heat transfer. Stream lines and isotherms are presented for the most representative cases

[1]  K.G.T. Hollands,et al.  Experimental study of the stability of differentially heated inclined air layers , 1973 .

[2]  V. Sernas,et al.  Heat Transfer in Air Enclosures of Aspect Ratio Less than One , 1978 .

[3]  A. A. Samarskii,et al.  On a high-accuracy difference scheme for an elliptic equation with several space variables☆ , 1963 .

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

[5]  Kyung Cho Chung,et al.  Natural convection in a vertical stack of inclined parallelogrammic cavities , 1982 .

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

[7]  F. Zirilli,et al.  Measurements of Natural Convection Across Tilted Rectangular Enclosures of Aspect Ratio 0.1 and 0.2 , 1982 .

[8]  C. L. Tien,et al.  Laminar Natural Convection Heat Transfer in a Horizontal Cavity with Different End Temperatures , 1978 .

[9]  C. J. Hoogendoorn,et al.  Flow Structure with Natural Convection in Inclined Air-Filled Enclosures , 1981 .

[10]  J. Heinrich,et al.  Heat Transfer Rates in Natural Convection at High Rayleigh Numbers in Rectangular Enclosures: a Numerical Study , 1982 .

[11]  Stuart W. Churchill,et al.  NATURAL CONVECTION IN AN INCLINED SQUARE CHANNEL , 1974 .

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

[13]  S. McKee,et al.  Alternating Direction Methods for Parabolic Equations in Two Space Dimensions with a Mixed Derivative , 1970, Comput. J..

[14]  D. Edwards,et al.  Experimental Investigation of Natural Convection in Inclined Rectangular Regions of Differing Aspect Ratios , 1976 .

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

[16]  Stuart W. Churchill,et al.  Natural circulation in an inclined rectangular channel heated on one side and cooled on the opposing side , 1974 .

[17]  Hayatoshi Sayama,et al.  NATURAL CONVECTION IN AN INCLINED RECTANGULAR CHANNEL AT VARIOUS ASPECT RATIOS AND ANGLES-EXPERIMENTAL MEASUREMENTS , 1975 .

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

[19]  J. Hart Stability of the flow in a differentially heated inclined box , 1971, Journal of Fluid Mechanics.