ON THE LAMINAR FORCED-CONVECTION WITH AXIAL CONDUCTION IN A CIRCULAR TUBE WITH EXPONENTIAL WALL HEAT-FLUX

被引:11
作者
BARLETTA, A
ZANCHINI, E
机构
[1] Istituto di Fisica Tecnica Facoltà di Ingegneria, Università di Bologna, Bologna, I-40136
关键词
D O I
10.1007/BF01463917
中图分类号
O414.1 [热力学];
学科分类号
摘要
The values of the fully developed Nusselt numb er for laminar forced convection in a circular tube with axial conduction in the fluid and exponential wall heat flux are determined analytically. Moreover, the distinction between the concepts of bulk temperature and mixing-cup temperature, at low values of the Peclet number, is pointed out. Finally it is shown that, if the Nusselt number is defined with respect to the mixing-cup temperature, then the boundary condition of exponentially varying wall heat flux includes as particular cases the boundary conditions of uniform wall temperature and of convection with an external fluid.
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页码:283 / 290
页数:8
相关论文
共 23 条
[1]   NUMERICAL-SOLUTION OF GRAETZ PROBLEM WITH AXIAL CONDUCTION [J].
BILIR, S .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1992, 21 (04) :493-500
[2]   AN EXACT SOLUTION OF EXTENDED GRAETZ PROBLEM WITH AXIAL HEAT-CONDUCTION [J].
EBADIAN, MA ;
ZHANG, HY .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1989, 32 (09) :1709-1717
[3]  
HALL WB, 1963, J MECH ENG SCI, V5, P48
[4]  
Hennecke D.K., 1968, W RMEUND STOFF BERTR, V1, P177, DOI [10.1007/BF00751149, DOI 10.1007/BF00751149]
[6]   EXTENSIONS TO SOLUTION OF GRAETZ PROBLEM [J].
JONES, AS .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1971, 14 (04) :619-+
[7]  
KREYSZIG E, 1962, THEOREM, V3
[8]   GRAETZ PROBLEM WITH AXIAL HEAT-CONDUCTION [J].
MICHELSEN, ML ;
VILLADSEN, J .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1974, 17 (11) :1391-1402
[9]   EXPERIMENTAL INVESTIGATION OF COMBINED FORCED AND FREE LAMINAR CONVECTION IN HORIZONTAL TUBES [J].
MORCOS, SM ;
BERGLES, AE .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1975, 97 (02) :212-219
[10]  
MORI Y, 1966, INT J HEAT MASS TRAN, V9, P453