An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders

An experimental and theoretical-numerical investigation has been carried out to extend existing knowledge of velocity and temperature distributions and local heat-transfer coefficients for naturel convection within a horizontal annulus. A Mach—Zehnder interferometer was used to determine temperature distributions and local heat-transfer coefficients experimentally. Results were obtained using water and air at atmospheric pressure with a ratio of gap width to inner-cylinder diameter of 0·8. The Rayleigh number based on the gap width varied from 2·11 × 10 4 to 9·76 × 10 5 . A finite-difference method was used to solve the governing constant-property equations numerically. The Rayleigh number was changed from 10 2 to 10 5 with the influence of Prandtl number and diameter ratio obtained near a Rayleigh number of 10 4 . Comparisons between the present experimental and numerical results under similar conditions show good agreement.

[1]  H. C. Doepken,et al.  Development of a Compressed-Gas-Insulated Transmission Line , 1971 .

[2]  O. Krischer,et al.  Die Wärmeübertragung in zylindrischen Luftschichten bei natürlicher Konvektion , 1932 .

[3]  H. Kraussold,et al.  Wärmeabgabe von zylindrischen Flüssigkeitschichten bei natürlicher Konvektion , 1934 .

[4]  T. Fujita,et al.  A new method of correlating heat-transfer coefficients for natural convection in horizontal cylindrical annuli , 1970 .

[5]  R. Lemlich,et al.  Natural Convection in Horizontal Concentric Cylindrical Annuli , 1962 .

[6]  P. Hodnett,et al.  Natural convection between horizontal heated concentric circular cylinders , 1973 .

[7]  M. Abbott A NUMERICAL METHOD FOR SOLVING THE EQUATIONS OF NATURAL CONVECTION IN A NARROW CONCENTRIC CYLINDRICAL ANNULUS WITH A HORIZONTAL AXIS , 1963 .

[8]  A. D. Gosman,et al.  Heat and Mass Transfer in Recirculating Flows , 1969 .

[9]  E. H. Bishop,et al.  Natural convection heat transfer between concentric spheres , 1970 .

[10]  E. Eckert,et al.  Studies on Heat Transfer in Laminar Free Convection with the Zehnder-Mach Interferometer , 1948 .

[11]  G. Batchelor,et al.  Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures , 1954 .

[12]  W. Beckmann Die Wärmeübertragung in zylindrischen Gasschichten bei natürlicher Konvektion , 1931 .

[13]  K.G.T. Hollands,et al.  A General Method of Obtaining Approximate Solutions to Laminar and Turbulent Free Convection Problems , 1975 .

[14]  E. H. Bishop,et al.  NATURAL CONVECTION BETWEEN HORIZONTAL CONCENTRIC CYLINDERS FOR LOW RAYLEIGH NUMBERS , 1968 .

[15]  R. E. Powe,et al.  Natural convective oscillatory flow in cylindrical annuli , 1968 .

[16]  R. E. Powe,et al.  Free Convective Flow Patterns in Cylindrical Annuli , 1969 .

[17]  Ashley F. Emery,et al.  Free Convection Through Vertical Plane Layers—Moderate and High Prandtl Number Fluids , 1969 .

[18]  W. Hauf,et al.  Optical Methods in Heat Transfer , 1970 .

[19]  Z. Rotem Conjugate free convection from horizontal, conducting circular cylinders , 1972 .

[20]  F. Landis,et al.  Numerical Study of Natural Convection in a Vertical Rectangular Enclosure , 1969 .

[21]  C. T. Carley,et al.  A Numerical Solution for Natural Convection in Cylindrical Annuli , 1971 .

[22]  Rj Goldstein Rj Optical measurement of temperature , 1970 .