Effect of thermal radiation on natural convection over cylinders of elliptic cross section

被引:34
作者
Hossain, MA [1 ]
Alim, MA
Rees, DAS
机构
[1] Univ Dhaka, Dept Math, Dhaka 1000, Bangladesh
[2] Univ Bath, Dept Mech Engn, Bath BA2 7AY, Avon, England
关键词
Heat Transfer; Nusselt Number; Natural Convection; Prandtl Number; Finite Difference Method;
D O I
10.1007/BF01176744
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The effect of conduction-radiation on natural convection flow of an optically dense viscous incompressible fluid along an isothermal cylinder of elliptic cross section has been investigated. The boundary layer equations governing the flow are shown to be nonsimilar. Full numerical solutions of the governing equations are obtained using the implicit finite difference method. The solutions are expressed in terms of the Nusselt number Nu against the eccentric angle alpha in the range [0, pi]. The working fluid is taken to have unit value of the Prandtl number, Pr, and the effects of varying the Planck number, R-d, the surface temperature parameter, theta(w), and the parameter A(0) representing the ratio of the major and minor axes of the cylinder are investigated. From the present analysis it is found that the rate of heat transfer from the slender body is higher than from the blunt body and that these higher values become even higher due to an increase in the effect of radiation in the flow field.
引用
收藏
页码:177 / 186
页数:10
相关论文
共 22 条
[1]  
Arpaci V. S., 1972, INT J HEAT MASS TRAN, V15, P1243
[2]  
BANKSTON JD, 1977, ASME C, V99, P125
[4]   BUOYANCY EFFECTS ON FORCED-CONVECTION ALONG A VERTICAL CYLINDER [J].
CHEN, TS ;
MUCOGLU, A .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1975, 97 (02) :198-203
[5]   RADIATION WITH FREE CONVECTION IN AN ABSORBING, EMITTING AND SCATTERING MEDIUM [J].
CHENG, EH ;
OZISIK, MN .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1972, 15 (06) :1243-&
[6]  
Chiang T., 1962, P 4 NAT C APPL MECH, P1213
[7]   DIFFERENTIAL APPROXIMATION FOR RADIATIVE TRANSFER IN A NONGREY GAS NEAR EQUILIBRIUM [J].
COGLEY, AC ;
VINCENTI, WG ;
GILLES, SE .
AIAA JOURNAL, 1968, 6 (03) :551-&
[8]   THE AXISYMMETRIC BOUNDARY LAYER ON A LONG THIN CYLINDER [J].
GLAUERT, MB ;
LIGHTHILL, MJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 230 (1181) :188-203
[9]  
HASEGAWA S, 1972, P JAPANESE SOC MECH, V39, P250
[10]  
Hasegawa S., 1972, P JAP SOC MECH ENG, V38, P2873